Review article The snowball Earth hypothesis: testing the limits of global change

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Review article The snowball Earth hypothesis: testing the limits of global change
Review article
The snowball Earth hypothesis: testing the limits
of global change
Paul F. Hoffman* and Daniel P. Schrag
Department of Earth and Planetary Sciences, Harvard University, Cambridge, MA 02138, USA

ABSTRACT
The gradual discovery that late Neoproterozoic ice sheets           alkalinity that could quantitatively account for the world-wide
extended to sea level near the equator poses a palaeoenviron-       occurrence of cap carbonates. The resulting high rates of
mental conundrum. Was the Earth’s orbital obliquity > 60           carbonate sedimentation, coupled with the kinetic isotope
(making the tropics colder than the poles) for 4.0 billion years    effect of transferring the CO2 burden to the ocean, should drive
following the lunar-forming impact, or did climate cool globally    down the d13C of seawater, as is observed. If cap carbonates
for some reason to the point at which runaway ice-albedo            are the ‘smoke’ of a snowball Earth, what was the ‘gun’? In
feedback created a ‘snowball’ Earth? The high-obliquity hypo-       proposing the original Neoproterozoic snowball Earth hypothe-
thesis does not account for major features of the Neoprotero-       sis, Joe Kirschvink postulated that an unusual preponderance of
zoic glacial record such as the abrupt onsets and terminations      land masses in the middle and low latitudes, consistent with
of discrete glacial events, their close association with large      palaeomagnetic evidence, set the stage for snowball events by
(> 10&) negative d13C shifts in seawater proxies, the depos-        raising the planetary albedo. Others had pointed out that
ition of strange carbonate layers (‘cap carbonates’) globally       silicate weathering would most likely be enhanced if many
during post-glacial sea-level rise, and the return of large         continents were in the tropics, resulting in lower atmospheric
sedimentary iron formations, after a 1.1 billion year hiatus,       CO2 and a colder climate. Negative d13C shifts of 10–20&
exclusively during glacial events. A snowball event, on the other   precede glaciation in many regions, giving rise to speculation
hand, should begin and end abruptly, particularly at lower          that the climate was destabilized by a growing dependency on
latitudes. It should last for millions of years, because outgas-    greenhouse methane, stemming ultimately from the same
sing must amass an intense greenhouse in order to overcome          unusual continental distribution. Given the existing palaeomag-
the ice albedo. A largely ice-covered ocean should become           netic, geochemical and geological evidence for late Neoprote-
anoxic and reduced iron should be widely transported in             rozoic climatic shocks without parallel in the Phanerozoic, it
solution and precipitated as iron formation wherever oxygenic       seems inevitable that the history of life was impacted, perhaps
photosynthesis occurred, or upon deglaciation. The intense          profoundly so.
greenhouse ensures a transient post-glacial regime of enhanced
carbonate and silicate weathering, which should drive a flux of     Terra Nova, 14, 129–155, 2002

                                              depositional environment. Glacigenic        fold test was positive (Sumner et al.,
Introduction
                                              deposits (diamictites and ice-rafted        1987), as others subsequently con-
In 1987, the Caltech biomagnetist and         dropstones) occur in most sections of       firmed (Schmidt et al., 1991; Schmidt
palaeomagnetist Joe Kirschvink gave           the Elatina Formation (Lemon and            and Williams, 1995; Sohl et al., 1999).
undergraduate Dawn Sumner a rock              Gostin, 1990), but previous palaeo-         A stratigraphically consistent, polarity
sample to study for her senior thesis.        magnetic studies suggested that the         reversal test (Sohl et al., 1999; see also
The sample, collected by UCLA palae-          siltstone was deposited close to the        Schmidt and Williams, 1995) con-
ontologist Bruce Runnegar, was a              equator on the basis of unusually           firmed the primary component of
reddish, uncompacted, rhythmically            stable remnant magnetization carried        NRM in the Elatina Formation, while
laminated siltstone from the Elatina          by detrital haematite (Embleton and         the existence of multiple reversals (Sohl
Formation, a late Neoproterozoic,             Williams, 1986). Kirschvink was skep-       et al., 1999) suggests that the Elatina
glacial and periglacial unit widely ex-       tical that glaciers would ever reach sea    glacial epoch lasted for several 105 to a
posed in the Flinders Ranges and              level in the tropics, so he instructed      few 106 years.
elsewhere in South Australia (Preiss,         Sumner to perform a fold test (McElh-          The Elatina results refocused atten-
1987; Lemon and Gostin, 1990). The            inny and McFadden, 2000) on soft-           tion on Neoproterozoic glaciations. A
rhythmic laminations are interpreted          sediment folds (Williams, 1996) in          critical review of the stratigraphic,
to be lunar tidal bundles (Williams,          Runnegar’s sample. A positive fold          geochronological and palaeomagnetic
2000), implying a shallow marine              test would prove that the natural rem-      constraints on virtually all late Neo-
                                              nant magnetization (NRM) is primary;        proterozoic glacial deposits (LNGD)
*Correspondence: Paul Hoffman, 20              a negative result would show that it is     world-wide was recently published
Oxford St., Cambridge, MA 02138, USA.         secondary, posing no constraint on the      (Evans, 2000). A total of 16 regional-
E-mail: hoffman@eps.harvard.edu; fax:          palaeolatitude of the Elatina glaci-        scale units, known to have formed
+1 617 496 0434.                              ation. To Kirschvink’s surprise, the        near sea level, possess primary or

 2002 Blackwell Science Ltd                                                                                                    129
Review article The snowball Earth hypothesis: testing the limits of global change
The snowball Earth hypothesis • P. F. Hoffman and D. P. Schrag                                                         Terra Nova, Vol 14, No. 3, 129–155
.............................................................................................................................................................
near-primary NRM components giv-                      (Fig. 1). The observations are surpri-                1999). LNGD (Fig. 1) are widely dis-
ing at least ‘somewhat reliable’ palaeo-              sing and they argue that the Elatina                  tributed on all continents (Mawson,
latitudes (Evans, 2000). Many were                    result is no fluke.                                    1949a; Cahen, 1963; Harland, 1964;
apparently deposited within 10 of the                   While LNGD (Fig. 2) closely                        Hambrey and Harland, 1981; Evans,
equator, and none was laid down at                    resemble Phanerozoic glacial deposits                 2000) and they are sharply interposed
a palaeolatitude greater than 60                     lithologically, their distribution and                in normal marine carbonate succes-
(Fig. 1). Increased non-dipole compo-                 mode of occurrence have never fitted                   sions (Fig. 2c) in several regions (Har-
nents in the Proterozoic geomagnetic                  comfortably into Phanerozoic stereo-                  land and Wilson, 1956; Schermerhorn
field (Kent and Smethurst, 1998; Blox-                 types (Harland, 1964; Schermerhorn,                   and Stanton, 1963; Martin, 1965;
ham, 2000) would not greatly affect                    1974; Deynoux, 1985; Crowley and                      Roberts, 1976; Preiss, 1987). Distinc-
those conclusions (Evans, 2000)                       North, 1991; Eyles, 1993; Crowell,                    tive ‘cap’ dolostone (and rarely lime-
                                                                                                            stone) layers sharply overlie most
                                                                                                            LNGD without significant hiatus
                                                                                                            (Fig. 2f), implying a sudden switch
                                                                                                            back to a warmer climate (Norin,
                                                                                                            1937; Mawson, 1949b; Deynoux AND
                                                                                                            Trompette, 1976; Kröner, 1977; Wil-
                                                                                                            liams, 1979). Cap carbonates (Figs 3–
                                                                                                            5) have unusual sedimentological,
                                                                                                            geochemical and isotopic characteris-
                                                                                                            tics not found in other Neoproterozo-
                                                                                                            ic or Phanerozoic carbonates (Aitken,
                                                                                                            1991; Fairchild, 1993; Grotzinger and
                                                                                                            Knoll, 1995; Kennedy, 1996; James
                                                                                                            et al., 2001), and they occur even in
                                                                                                            successions otherwise lacking carbon-
                                                                                                            ate (Spencer, 1971; Deynoux, 1980;
                                                                                                            Plumb, 1981; Myrow and Kaufman,
                                                                                                            1999). Not surprisingly, they have
                                                                                                            long served as time markers in
                                                                                                            regional and even interregional corre-
                                                                                                            lation (Dunn et al., 1971; Kennedy
                                                                                                            et al., 1998; Walter et al., 2000).
                                                                                                               The glacial origin of the Elatina
                                                                                                            Formation was first recognized by Sir
                                                                                                            Douglas Mawson – the older, thicker
                                                                                                            and more localized, Surtian LNGD in
                                                                                                            the same region were recognized much
                                                                                                            earlier by Howchin (1908), following
                                                                                                            the first described LNGD in northern
                                                                                                            Norway (Reusch, 1891) – and he
                                                                                                            discovered its cap dolostone (Maw-
                                                                                                            son, 1949b). Although conservative by
                                                                                                            nature (Sprigg, 1990), Mawson was
                                                                                                            the first (to our knowledge) to argue
                                                                                                            that late Neoproterozoic glaciation
                                                                                                            was global, with large ice sheets in
                                                                                                            the tropics (Mawson, 1949a). He went
                                                                                                            on to suggest that climatic amelior-
                                                                                                            ation paved the way for the first
                                                                                                            metazoa (Mawson, 1949a), which
Fig. 1 Global distribution (a) of Neoproterozoic glaciogenic deposits with estimated
palaeolatitudes based on palaeomagnetic data (modified from Evans, 2000).                                    had been discovered by a Mawson
‘Reliability’ takes into account not only palaeomagnetic reliability but also the                           protegé, Reg Sprigg, in the Ediacara
confidence that the deposits represent regionally significant, low-elevation ice sheets                       Hills west of the Flinders Ranges
(Evans, 2000). Histogram (b) of the same glaciogenic deposits according to                                  (Sprigg, 1947). Ironically (for an
palaeolatitude. The discontinuous steps show the expected density function of a                             Adelaide resident), Mawson was
uniform distribution over the sphere. Note the preponderance of low-latitude deposits                       opposed to continental drift, and his
and absence of high-latitude deposits. This finding would not be invalidated by                              argument for tropical ice sheets
plausible non-diplole components of the field, which would effectively raise the                              depended critically on the occurrence
palaeolatitudes of only the mid-latitude results (Evans, 2000). The minimum in the                          of LNGD in tropical Africa today
distribution in the subtropics may reflect the meridional variation in precipitation                         (Mawson, 1949a). [To his credit,
minus evaporation due to the Hadley cells.                                                                  Mawson urged students to read his

130                                                                                                                               2002 Blackwell Science Ltd
Review article The snowball Earth hypothesis: testing the limits of global change
Terra Nova, Vol 14, No. 3, 129–155                                                       P. F. Hoffman and D. P. Schrag • The snowball Earth hypothesis
.............................................................................................................................................................

                                                                    a                                                                              b

                                                   Early Neoproterozoic
  Twitya                                            Little Dal dolomite
   shale
           Lower Twitya
           cap limestone
             (40 m)             Rapitan diamictite
                                      (115 m)

                                                                   c                                                                               d

                                                                    e                                                                               f
Fig. 2 Neoproterozoic glacial features. Striated pavement (a) overlain by the Smalfjord diamictite (Table 1) at Bigganjargga,
Varangerfjord, north Norway, the first recognized Neoproterozoic glacial deposit (Reusch, 1891) (G. P. Halverson photo). Faceted
and multistriated stone (b) from the Jbéliat diamictite (Table 1) in Adrar, Mauritania. Rapitan diamictite (Table 1) sharply
bounded (c) by carbonate strata, without transitional facies or intercalation at Stone Knife River, Mackenzie Mountains, north-
west Canada. Dolomite dropstone in banded iron formation (d) within the Rapitan diamictite at Snake River, Mackenzie
Mountains (G. A. Gross photo). Ice-rafted dropstone (e) of shelf-edge oolitic limestone in allodapic slope-facies carbonates of the
Ghaub diamictite (Table 1) at east Fransfontein, north-west Namibia. Impact of dropstone on sea-bed caused the folded bicouple
seen at 10 o’clock from coin. Typical abrupt conformable contact (f) between the upper dropstone unit of the Ghaub diamictite
and its cap dolostone in slope facies at west Fransfontein, north-west Namibia. The coin, pen and hammer are 2, 15 and 33 cm in
maximum dimension, respectively (same in Figs 4 and 5).

 2002 Blackwell Science Ltd                                                                                                                            131
Review article The snowball Earth hypothesis: testing the limits of global change
The snowball Earth hypothesis • P. F. Hoffman and D. P. Schrag                                                             Terra Nova, Vol 14, No. 3, 129–155
.............................................................................................................................................................
                             AUSTRALIA               CANADA              NAMIBIA                                  1964) and reinforced them with
                               Brachina              Sheepbed           Maieberg                                  palaeomagnetic measurements. Low-
                          clastic-dominated           mixed        carbonate-dominated                            inclination NRM in LNGD and asso-
                         SB                    SB                   SB                                            ciated strata in the North Atlantic
                                                                                                                  region and elsewhere seemed initially
                         HST                   HST                 HST                                            to prove that ice sheets had indeed
cap-carbonate sequence

                                                                                                                  extended to low palaeolatitudes (Har-
                                                                                           regressive             land and Bidgood, 1959; Bidgood and
                                                                                                                  Harland, 1961; Chumakov and
                                                                                                                  Elston, 1989). Later, however, with
                                                                                                                  the recognition of widespread, low-
                                                                                                                  temperature remagnetization (McCa-
                                                                                                                  be and Elmore, 1989), field tests and
                                                                                     maximum flooding
                                               MF                   MF                                            demagnetization procedures that
                                                                                       transgressive              constrain the age and subsequent
                         MF                                                                                       history of magnetization became the
                         TST                   TST                 TST                  cap dolostone
                                                                                                                  gold-standard for acceptance of
                         SB                    SB                   SB                                            palaeomagnetic data (McElhinny and
                                 a                     b                      c                                   McFadden, 2000). The Elatina For-
                                                                                                                  mation was the first LNGD for which
                              CANADA               NAMIBIA               MAURITANIA                               there were multiple field, rock-mag-
                               Twitya               Rasthof                 Jbeliat                               netic, and petrographic tests indicative
                         base semi-truncated     base truncated          top truncated                            of a primary, low-inclination NRM,
                         SB                    SB                   SB
                                                                    SB                     f                      contemporaneous with sedimentation
                         HST                   HST                                                                (Embleton and Williams, 1986; Sum-
                                                                    SB
                                                                                                                  ner et al., 1987; Schmidt et al., 1991;
                                                                           shale                sandstone         Schmidt and Williams, 1995; Sohl
                                                                                                                  et al., 1999).
                                                                           micrite              calc/dolarenite

                                                                           cap limestone cementstone              Alternative theories for low-
                                                                                                                  latitude glaciation
                         MF                    MF                          cap dolostone
                         SB                    SB                                                                 Kirschvink was not the first to wrestle
                                                                           glacial diamictite
                                 d                     e                                                          with the low-latitude Elatina results.
                                                                                                                  George Williams (1975, 1993, 2000)
Fig. 3 Schematic variability in cap-carbonate sequences (not drawn to scale). Note                                had long advocated a large (> 54)
distinction between ‘cap dolostone’ and ‘cap-carbonate sequence’. Workers from                                    orbital obliquity, or tilt (the angle
clastic-dominated (a) regions (e.g. Kennedy, 1996; Kennedy et al., 2001b) regard cap                              between the Earth’s axes of rotation
dolostones as the sole representatives of the post-glacial transient. However, unusual                            and orbit around the sun), to account
textures (e.g. crystal-fan cementstones) occur above the cap dolostone in mixed (b)                               for low-latitude glaciation in conjunc-
and carbonate-dominated (c) regions, and the post-glacial negative d13C anomaly                                   tion with inferred strong equatorial
may encompass the entire cap-carbonate sequence (Fig. 9). The top of the cap                                      seasonality during the Elatina glaci-
dolostone does not mark the end of enhanced silicate weathering (Kennedy et al.,                                  ation (Williams and Tonkin, 1985;
2001b), but may reflect a change from carbonate-dominated to silicate-dominated                                    Williams, 1998). In theory, obliquity
weathering as carbonate platforms are inundated by rising sea level (Hoffman and                                  could have varied chaotically within
Schrag, 2000). Base truncation (d,e) may occur if the local water mass fails to reach                             60–90 following the early lunar-form-
saturation until after post-glacial sea-level rise. Top truncation (f) occurs in regions                          ing impact event, but a low obliquity,
with little background tectonic subsidence to create permanent accommodation
                                                                                                                  once achieved, is self-stabilizing
space. Abbreviations: HST, highstand systems tract; MF, marine flooding surface;
                                                                                                                  through the gravitational interaction
SB, sequence boundary; TST, transgressive sequence tract (van Wagoner et al., 1988).
                                                                                                                  of the Moon and the Earth’s equator-
                                                                                                                  ial bulge (Laskar et al., 1993). Wil-
contemporary’s book (Wegener, 1922)                             1971; McElhinny et al., 1974; Crowell,            liams (1993) postulates a sharp
and Sprigg, for one, identified the                              1983, 1999; Eyles, 1993).                         decrease in orbital obliquity after
Adelaidean succession as a pre-Meso-                               Most, but not all. Brian Harland of            600 Ma, with resultant moderation
zoic rifted continental margin (Sprigg,                         Cambridge University cut his teeth in             of the seasonal climate cycle giving
1952).] Mawson’s argument, however,                             the Arctic archipelago of Svalbard,               rise to the metazoa (Williams, 1993).
collapsed in the plate tectonic revolu-                         sentinel of the Barents Sea shelf, and            With an obliquity > 54, mean
tion, with most subsequent workers                              host to a pair of LNGD (Harland                   annual temperatures are lower around
attributing the extent of LNGD                                  et al., 1993; Harland, 1997). Harland             the equator than at the poles (Wil-
(Fig. 1) to rapid drift of different                             was no fixist, but he independently                liams, 1975; Hunt, 1982; Oglesby and
continents through polar regions at                             reiterated Mawson’s arguments (Har-               Ogg, 1999; Jenkins, 2000), making
different times (Crawford and Daily,                             land and Rudwick, 1964; Harland,                  glaciation more probable at lower

132                                                                                                                                  2002 Blackwell Science Ltd
Review article The snowball Earth hypothesis: testing the limits of global change
Terra Nova, Vol 14, No. 3, 129–155                                                          P. F. Hoffman and D. P. Schrag • The snowball Earth hypothesis
.............................................................................................................................................................

                rian
          Camb
                      m
              trail F
         Game
                                                                                        e
                                                                                ston
                                                                            ime
                                           shale                  ho   ok l
                                    pbed                      Hay
                               Shee

                                                                                                        ne
                                                                                                    osto
                                                                                                dol
                                                                                        cap
                                                                               ro  ok
                                                                         Ic eB
                                                                                                   m
                                                                                           el eF
   a                                                                                    Ke                         d

   b
                                                                                  c

  e                                                                               f
Fig. 4 Distinctive lithofacies in the Ice Brook (Table 1) cap carbonate, Mackenzie Mountains, north-west Canada. The Ice Brook
cap-carbonate sequence (a) at Shale Lake includes a very pale, flinty, cap dolostone, locally crowned by dark Hayhook limestone
cementstone, then 700–900 m of black, deep-water, Sheepbed shale, shoaling finally to Gametrail dolomite, truncated here by the
Lower Cambrian (photo from James et al., 2001). Low-angle cross-sets of reverse-graded peloids (b) in the cap dolostone at Gayna
River. Cuspate mega-ripples, aka pseudo-tepees (c) in the cap dolostone at Arctic Red River. Axial zone of cuspate mega-ripple (d)
at Gayna River, showing evidence of oscillatory (storm wave) currents sweeping across the aggrading crestline. Digitate pseudo-
stromatolites composed of sea-floor barite cement (e) at the contact between the cap dolostone and Hayhook limestone at Shale
Lake. The slender dark prisms growing off the tips of the barite fingers near the top of the photo are pseudomorphosed aragonite.
Crystal fans of aragonite (f), replaced by calcite, and meniscus-laminated micrite in the Hayhook cap limestone at Shale Lake.

latitudes (Williams, 1975). Summer                   sky throughout the diurnal cycle) that                  water (Oglesby and Ogg, 1999). The
insolation is so large in the polar                  surface temperatures over land areas                    tropics, although cooler overall,
regions (the sun staying high in the                 might exceed the boiling point of                       would have two hot seasons near

 2002 Blackwell Science Ltd                                                                                                                            133
Review article The snowball Earth hypothesis: testing the limits of global change
The snowball Earth hypothesis • P. F. Hoffman and D. P. Schrag                                                                   Terra Nova, Vol 14, No. 3, 129–155
.............................................................................................................................................................

                                               Maieberg Fm                                           cap carbonate begins
                                                                                      herms
                    inter-reef                                                    bio
                                                                                                        glacial sea-level fall
                         fill              tstone                        tub
                                                                              e
                                     cemen                                              ite              pre-glacial δ 13C drop
                                        reefs                                   ian
                                                                          a eol
                                                   rg mb
                                      Ke i l b e                                                                                         ck
                                                                    Ombaatjie Fm                                                       lo
                                                                           e                                                         tb
                                                                    bonat                                                          en
                                                            m   car                           Gruis Fm                          em
                                                       tfor                                                                ba
                                                                                                                             s
                                                   pla                                                                 d
                                                                                              rate                  te
                         100 m
                                                                                      lo   me                   ot
                                                                                                                   a
                                                                                   ng                          r
                                                                               co

                                                                                                                   Rasthof Fm
                     a                                                                                 (truncated beneath Gruis Fm)

                     b                                                               c

                                                                                     e
                     d

                     f                                                               g

134                                                                                                                                          2002 Blackwell Science Ltd
Review article The snowball Earth hypothesis: testing the limits of global change
Terra Nova, Vol 14, No. 3, 129–155                                                       P. F. Hoffman and D. P. Schrag • The snowball Earth hypothesis
.............................................................................................................................................................
                                                     et al., 2002) explanation for the exist-              within middle to low latitudes, a
Fig. 5 Distinctive lithofacies in the cap-           ence of well-developed, periglacial,                  situation that has not been encoun-
carbonate sequence (Maieberg Forma-                  sand-wedge polygons in the Elatina                    tered at any subsequent time in Earth
tion) following the Ghaub glaciation                 Formation (Williams and Tonkin,                       history. One effect of such a palaeo-
(Table 1) of the Otavi platform, north-              1985). These structures are most easily               geography would be a substantially
west Namibia, and possible correlatives.             explained as resulting from large sea-                higher albedo in the subtropics, where
Section (a) near the platform margin at              sonal oscillations in soil temperature                clouds are least important (Kirsch-
Tweelingskop, showing preglacial drop                (Lachenbruch, 1962), which should                     vink, 1992). Any resultant glaciation
in d13C, aeolian dolostone representing              not occur near the equator if the                     would further increase the Earth’s
the glacial event, mounded cap dolo-                 obliquity was close to its present value              albedo by lowering sea level, exposing
stone (Keilberg member) composed of                  of 23.5. On the other hand, a persist-               continental shelves and inland seas
stromatolites with tube-like structure,              ent large obliquity does not explain                  (Kirschvink, 1992). Placing more
and reef-like buildups of sea-floor ara-
                                                     the characteristically abrupt onsets                  continents in the tropics would also
gonite cements pseudomorphosed by
                                                     and terminations of LNGD (Hambrey                     increase the silicate weathering rate
calcite (Soffer, 1998). Tube-like struc-
                                                     and Harland, 1981; Preiss, 1987; Nar-                 (provided tectonic uplift was not mys-
tures (b) in hummocky cross-stratified
cap dolostone at Khowarib Schlucht.                  bonne and Aitken, 1995; Hoffmann                      teriously absent there), leading to a
Tubes initiated within the cap dolostone             and Prave, 1996; Hoffman et al.,                      colder planet with lower atmospheric
and do not tap subglacial deposits as                1998a). Nor does it account for the                   pCO2 (Marshall et al., 1988; Worsley
expected if they formed by methane                   close association of LNGD with car-                   and Kidder, 1991). In addition, the
released from glacial permafrost as pro-             bonates, because the ‘redistribution of               meridional heat transport by the Had-
posed by Kennedy et al. (2001a). Detail              the radiant energy balance to polar                   ley cells would be weakened because
of tube-like structures (c) at Khowarib              latitudes should also move the car-                   tropical air masses would be drier on
Schlucht showing meniscus-laminated                  bonate belts from equatorial latitudes                average with greater continentality.
micrite (tubes) filling circular pits within          to the poles, where the glaciers (in                  Oceanic heat transport might also be
a honeycomb of stromatolites (arched                 Williams’ model) should not encoun-                   lessened, but this is less certain. These
laminae). Despite vertical continuity of             ter them’ (Kirschvink, 1992). The                     combined effects might lead to the
tube-like structures (b), synoptic relief            dynamics of the postulated obliquity                  growth of large ice caps, nucleated on
during growth was < 3 cm. Sheaves of                 reduction after 600 Ma remain con-                    islands or continents bordering the
former-aragonite crystal fans (d) in                 jectural (Williams, 1993; Ito et al.,                 polar seas.
allodapic limestone at Tweelingskop.                 1995; Néron de Surgy and Laskar,                        Ice caps create a positive feedback
Interlayered micrite (light) and aragon-             1997; Williams et al., 1998; Pais et al.,             on climate change through ice-albedo
ite (dark) cements (e) pseudomorphosed               1999).                                                feedback (Croll, 1867; Budyko,
to calcite in the Sete Lagoas cap car-
                                                        Richard Sheldon (1984) postulated                  1966; Manabe and Broccoli, 1985).
bonate, Bambuı́ platform, south-eastern
                                                     that orbiting ice rings episodically                  Early energy-balance climate models
Brazil. Barite crust (f) and reworked
                                                     collapsed into the atmosphere, tran-                  revealed a fundamental instability in
barite-crusted clast (above pen) at
sequence boundary between Jbéliat                   siently shielding sunlight and giving                 the climate system caused by this
(Table 1) cap dolostone and Téniagouri              rise to glaciers at low latitudes. The                positive feedback (Eriksson, 1968;
Group (Fig. 10) at Atar Cliffs, Adrar,               theory strives to explain iron forma-                 Budyko, 1969; Sellers, 1969; North
Mauritania. Unlike sea-floor barite                   tions and cap carbonates, but does                    et al., 1981), an effect reproduced in a
(Fig. 4e), Jbéliat barite appears to be a           not adequately account for low-lati-                  number of GCMs (Wetherald and
product of phreatic diagenesis in a                  tude glaciation. Due to orbital                       Manabe, 1975; Jenkins and Smith,
supratidal tepee breccia, possibly related           obliquity, equatorial ice rings will                  1999; Hyde et al., 2000; Pollard and
to mixing of marine and meteoric                     cast shadows only on the winter                       Kasting, 2001). If more than about
groundwaters. True tepee structure (g)               hemisphere (see figure 2 in Sheldon,                   half the Earth’s surface area were to
formed by layer-parallel expansion due               1984). Glaciation depends critically                  become ice covered, the albedo feed-
to vadose cementation in supratidal                  on cool summers, not cold winters                     back would be unstoppable (Fig. 6).
Jbéliat cap dolostone at Atar Cliffs.               (Köppen and Wegener, 1924), as it is                 Surface temperatures would plummet
Jbéliat tepee ridges are polygonal in               contingent on a fraction of the                       (Fig. 7), and pack ice would quickly
plan, unlike linear pseudo-tepees                    annual snowfall surviving the melting                 envelope the tropical oceans (Hyde
(mega-ripples) in sublittoral cap dolo-              seasons.                                              et al., 2000; Baum and Crowley,
stones (Fig. 4c,d).                                                                                        2001). With reduced Neoproterozoic
                                                                                                           solar forcing, the ice-albedo instability
                                                     Snowball Earth
                                                                                                           occurs in the GENESIS v2 GCM
equinox, when insolation would be                    Kirschvink responded to the positive                  between 1.0 and 2.5 times modern
indistinguishable from the hottest                   Elatina fold test with a theory he first               pCO2 with different palaeogeograph-
tropical seasons with low obliquity                  aired in 1989 (Maugh, 1989). It even-                 ies (Baum and Crowley, 2001; Pollard
(Oglesby and Ogg, 1999). Indeed, hot                 tually appeared as an article, seven                  and Kasting, 2001). The time scale of
summers and strong seasonality make                  paragraphs long, embedded in a 1348-                  the sea-ice advance is uncertain – the
glaciation problematic at any latitude               page book (Kirschvink, 1992). It pos-                 ocean’s thermal inertia resists the ice
with large obliquities (Hoffman and                  tulated that conditions amenable to                   advance initially (Poulsen et al.,
Maloof, 1999). It does, however, pro-                global glaciation were set up by an                   2001), but the ocean is a finite heat
vide a ready but non-unique (Maloof                  unusual preponderance of land masses                  reservoir and cooling over thousands

 2002 Blackwell Science Ltd                                                                                                                            135
Review article The snowball Earth hypothesis: testing the limits of global change
The snowball Earth hypothesis • P. F. Hoffman and D. P. Schrag                                                                              Terra Nova, Vol 14, No. 3, 129–155
.............................................................................................................................................................
                                                Effective solar flux (wrt present)                                                 (Walker, 2001). Despite mean annual
                                                                    1.1 1.2 1.3                                                    temperatures well below freezing
                                                0.9        1.0
                                                                                                                                   everywhere, afternoon temperatures
                                            o                                    6     ice-free branch     5                       in the summer hemisphere would

                                                       Solar flux ca 600 Ma
                                       90
                                                                                                                                   reach the melting point (Walker,
                                                                                        unstable range
                                                                                                                                   2001). Evaporation of transient melt
                                                                                            0.7 meridional                         water would contribute, along with
                                                                                1           heat transport
                   Ice line latitude

                                            o                                   7                                                  sublimation, to maintain low levels of
                                       60
                                                                                          Present                                  atmospheric water vapour, and gla-
                                                                                                                                   ciers would feed on daily updrafts of
                                                                                             stable points                         this moisture (Walker, 2001). The
                                            o                                                with Es=1.0                           global mean thickness of sea ice
                                       30              2
                                                                                                                                   depends strongly on sea-ice albedo
                                                                                           unstable range                          ( 1.4 km for albedo 0.6) and
                                                                                                                                   meridional variability is a complex
                                                                                                                                   function      of    solar     incidence,
                                        0o         3                                                       4                       greenhouse forcing (see below), zonal
                                                                              ice-covered branch
                                                                                                                                   albedo, ablation or precipitation, and
                                                 10-5                         10-4    10-3 10-2          10-1                      equatorward flowage of warm basal
                                                                                     pCO2 (bar)                                    ice (Warren et al., 2002).
                                                                                                                                      Climate physicists originally assu-
Fig. 6 Ice-line latitudes (at sea level) as a function of the effective solar flux (Es), or                                          med that no ice-albedo catastrophe
equivalent pCO2 (for Es ¼ 1.0), based on a simple energy-balance model of the                                                      ever actually occurred because it
Budyko-Sellers type (after Caldeira and Kasting, 1992; Ikeda and Tajika, 1999).                                                    would be permanent: the high planet-
Effect of a 30% reduction in meridional heat transport is shown, as is the estimated                                               ary albedo would be irreversible. A
solar flux at  600 Ma. Of three possible stable points for Es ¼ 1.0, the Earth                                                     saviour exists, however, and Kirsch-
actually lies on the partially ice-covered branch at point 1. An instability due to ice-                                           vink (1992) identified it as the buildup
albedo feedback drives any ice-line latitude < 30 onto the ice-covered branch. A                                                  of an intense atmospheric CO2 green-
pCO2 » 0.12 bar is required for deglaciation of an ice-covered Earth, assuming the                                                 house through the action of plate
planetary albedo is 0.6 and Es ¼ 1.0 (Caldeira and Kasting, 1992). The snowball                                                    tectonics in driving the long-term
Earth hypothesis is qualitatively predicated on these findings and infers a hysteresis in                                           carbon cycle (Walker et al., 1981;
pCO2 (and consequently surface temperature) following the circuit labelled 1–7.
                                                                                                                                   Caldeira and Kasting, 1992; Kirsch-
Starting from point 1, lowering of pCO2 causes ice lines to migrate stably to point 2,
                                                                                                                                   vink, 1992). On a snowball Earth,
whereupon runaway ice-albedo feedback drives ice lines to the ice-covered branch at
point 3. Normal volcanic outgassing over millions of years increases pCO2 to point 4,
                                                                                                                                   volcanoes would continue to pump
initiating deglaciation. Reverse ice-albedo feedback then drives ice lines rapidly to the                                          CO2 into the atmosphere (and ocean),
ice-free branch at point 5, where high pCO2 combined with low planetary albedo                                                     but the sinks for CO2 – silicate weath-
creates a transient ultra-greenhouse. Enhanced silicate weathering causes lowering of                                              ering and photosynthesis – would be
pCO2 to point 6, whereupon polar ice caps reform and ice lines return to the partially                                             largely eliminated (Kirschvink, 1992).
ice-covered branch at point 7. In the 1960s, Budyko was concerned with the small ice-                                              Even if CO2 ice precipitated at the
cap instability, which predicts a possible switch to the ice-free branch (e.g.                                                     poles in winter, it would likely subli-
disappearance of Arctic sea ice) due to anthropogenic global warming.                                                              mate away again in summer (Walker,
                                                                                                                                   2001). CO2 levels would inexorably
                                                                                                                                   rise and surface temperatures would
of years would leave it powerless to                                                    cross the ice-albedo instability thresh-   follow, most rapidly at first and more
resist the ice encroachment. It is also                                                 old [but the continents are glaciated      slowly later on (Fig. 7) due to the non-
uncertain if the tropical ocean would                                                   because they are mostly placed in          linear relation between CO2 concen-
ever become entirely ice covered                                                        middle and high latitudes, contrary        tration and the resultant greenhouse
(Hyde et al., 2000; Baum and Crow-                                                      to palaeomagnetic evidence (Evans,         forcing (Caldeira and Kasting, 1992).
ley, 2001; Warren et al., 2002)                                                         2000)].                                    With rising surface temperatures, sea
Kirschvink (1992) speculated that                                                          Assuming an albedo runaway did          ice thins but ground ice sheets expand
areas of open water (polynyas) would                                                    occur, the climate would be domin-         in some areas due to a stronger
remain, tracking the zone of highest                                                    ated by the dry atmosphere and the         hydrological cycle. If CO2 outgassing
solar incidence back and forth across                                                   low heat capacity of the solid surface     rates were broadly similar to today (a
the equator and imparting a strongly                                                    (Walker, 2001). It would be more like      reasonable assumption for 600–
seasonal climate even at low latitude,                                                  Mars (Leovy, 2001) than Earth as we        700 Ma), then the time needed to
consistent with geological observa-                                                     know it, except that the greater at-       build up the estimated 0.12 bar CO2
tions (Williams and Tonkin, 1985).                                                      mospheric pressure would allow sur-        required to begin permanent melting
This is distinct from the tropical                                                      face meltwater to exist. Diurnal and       at the equator, assuming a planetary
‘loophole’ model (Hyde et al., 2000;                                                    seasonal temperature oscillations          albedo of 0.6, would be a few million
Baum and Crowley, 2001; Crowley                                                         would be strongly amplified at all          years (Caldeira and Kasting, 1992;
et al., 2001), in which the ice fronts                                                  latitudes because of weak lateral heat     Crowley et al., 2001). This estimate
miraculously approach but never                                                         transfer and extreme ‘continentality’      (Fig. 7), while subject to large uncer-

136                                                                                                                                                   2002 Blackwell Science Ltd
Review article The snowball Earth hypothesis: testing the limits of global change
Terra Nova, Vol 14, No. 3, 129–155                                                                                    P. F. Hoffman and D. P. Schrag • The snowball Earth hypothesis
.............................................................................................................................................................

                                                                                                                                               In
                                                                                                                                                         Ta   Y

                                                                                                                                                         Au
                                                                                                                                                     K   M                Si

                                                                                                                                          Co                        La          7
                                                                                                                                                                   Am    Ba
                                                                                                                                                              WA

                                                                                                 o
                                                                global mean surface temperature ( C)
                                                                                                                                               In
                                                          -50                     0                        50                                            Ta   Y

                                                                                                                                                         Au
                                                                                                                                                     K   M                Si

                                                                                                                                          Co                        La         5
                                                                                                                                                                   Am    Ba
                                                                                                                                                              WA

                                                                                                                                               In        Ta
                                                      5                                                                                                       Y
 elapsed time (x106 years) since ice-albedo runaway

                                                                                                                                                         Au
                                                                                                                                                     K   M                Si

                                                                                                                                          Co                        La         4
                                                                                                                                                                   Am    Ba
                                                                                                                                                              WA

                                                                                                                                               In
                                                                                                                                                         Ta   Y

                                                                                                                                                         Au
                                                                                                                                                     K   M                Si

                                                                                                                                          Co                        La          3
                                                                                                                                                                   Am    Ba
                                                                                                                                                              WA

                                                      0                                                                                        In
                                                                                                                                                         Ta   Y

                                                                                                                                                         Au
                                                                                                                                                     K   M                Si

                                                                                                                                          Co                        La         2
                                                                                                                                                                   Am    Ba
                                                                                                                                                              WA

                                                          223     243      263        283        303     323
                                                                                                                                                In
                                                                                                                                                         Ta   Y
                                                                global mean surface temperature (K)                                                      Au
                                                                                                                                                     K   M                Si

                                                                                                                                          Co                        La         1
                                                                                                                                                                   Am    Ba
                                                                                                                                                              WA

Fig. 7 Estimated changes in global mean surface temperature, based on energy-balance calculations, and ice extent through one
complete snowball event. The suggested time scale of the event of  5 Myr is conservative for an albedo ¼ 0.6, based on the
estimated outgassing flux of CO2 and subsidence analysis (Hoffman et al., 1998b). The global palaeogeographical model (Powell
et al., 2001) pertains to 750 Ma,  30 Myr before the ‘Sturtian’ glaciation (Table 1). Palaeocontinents: Am, Amazonia; Au,
Australia; Ba, Baltica; Co, Congo; In, India; K, Kalahari; M, Mawson; Si, Siberia; Ta, Tarim; WA, West Africa; Y, South China
(Yangtse). The global ice-line depictions correspond approximately to points 1–7 in Fig. 2. Note the growth of terrestrial ice sheets
with rising surface temperature during the snowball event. Note also the abrupt onset and termination of glacial conditions in the
low and middle latitudes, consistent with geological observations, and the saw-tooth form of the temperature curve reversed to that
associated with late Quaternary glacial cycles. Note finally that the estimated surface temperatures are global mean values and give
no sense of the real zonal, seasonal and diurnal ranges in temperature (Walker, 2001).

tainties, is of the same order as the                                                       stratigraphic (Hoffman et al., 1998a)      ciation proceeds rapidly due to reverse
estimated time-scale of LNGD from                                                           evidence. Once the tropical ocean          ice-albedo feedback (Caldeira and
palaeomagnetic (Sohl et al., 1999) and                                                      begins to open up perennially, degla-      Kasting, 1992; Crowley et al., 2001).

 2002 Blackwell Science Ltd                                                                                                                                                    137
Review article The snowball Earth hypothesis: testing the limits of global change
The snowball Earth hypothesis • P. F. Hoffman and D. P. Schrag                                                         Terra Nova, Vol 14, No. 3, 129–155
.............................................................................................................................................................
The fall in planetary albedo occurs far               curred in the 1990s, and carbon                       synchroneity of glacial events in
faster than the excess atmospheric                    isotope stratigraphy was principally                  widely separate areas (Africa, Austra-
CO2 can be consumed by silicate                       responsible.                                          lia, Canada, Europe) and base global
weathering, with the result that a                       The history of carbon isotopic vari-               correlation schemes upon them.
transient heat wave must follow the                   ation (expressed as d13C, the differ-                    The conventional explanation for
ice retreat (Caldeira and Kasting,                    ence in per mil of 13C/12C with respect               Neoproterozoic carbon isotopic oscil-
1992; Kirschvink, 1992). Kirschvink                   to standard VPDB) in marine carbon-                   lations and cap carbonates is oceano-
(1992) concluded that a cold planet                   ates and covarying organic matter is a                graphic (Knoll et al., 1986, 1996;
with many tropical continents and                     robust, but ambiguous, record of bio-                 Kaufman et al., 1991, 1997; Derry
large polar sea-ice caps ‘would be a                  geochemical cycling (Summons &                        et al., 1992; Grotzinger and Knoll,
rather unstable situation, with the                   Hayes, 1992). Despite the fact that                   1995; Grotzinger and James, 2000).
potential for fluctuating rapidly                      significant spatial heterogeneity in                   The idea is roughly the following. The
between the ‘‘ice house’’ and ‘‘green-                d13C is dynamically maintained within                 ocean was physically stratified for
house’’ states’.                                      the ocean (Kroopnick, 1985), large                    long periods pending glaciation, but
                                                      secular changes in d13C at individual                 switched to a turnover mode during
                                                      sites are globally correlated (Veizer                 and particularly after glacial events. In
Testing the snowball hypothesis
                                                      et al., 1999; Saltzman et al., 2000),                 stratified mode, the biological pump
Kirschvink (1992) highlighted three                   reflecting the residence time of carbon                (descent of organic particles from the
implications of his theory which                       150 times the ocean mixing time                     surface) drove the d13C of dissolved
‘might lend themselves to geological                  (Kump and Arthur, 1999). The d13C                     inorganic carbon (DIC) in the surface
tests’. First, ‘glacial units should be               of carbonate rocks is relatively                      waters to higher values. Partial rem-
more or less synchronous Harland,                     immune from large diagenetic changes                  ineralization of the organic ‘rain’ in
1964)’. Second, ‘strata from widely                   because pore fluids are effectively                    conjunction with bacterial sulphate
separate areas which preserve a record                buffered by the large rock carbon                     reduction in the water column pro-
of these [rapid] climatic fluctuations                 reservoir (Veizer et al., 1999).                      duced deep water laden with 13C-
[between ‘‘ice house’’ and ‘‘green-                      The range of secular d13C variabil-                depleted DIC. With prolonged strati-
house’’ states] might bear an overall                 ity of > 10& in the late Neoprotero-                  fication, the contrast in d13C values
similarity in lithologic character,                   zoic (Jacobsen and Kaufman, 1999;                     between the surface and deep water
which would be a result of the global                 Walter et al., 2000) is markedly great-               DIC reservoirs (2–3& in the present
scale of the climatic fluctuations’.                   er than for the Phanerozoic (Veizer                   ocean, Kroopnick, 1985) increased to
Third, ‘the presence of floating pack                  et al., 1999) or the 1.5 billion years                > 10&, consistent with the preglacial
ice should reduce evaporation, act to                 before the late Neoproterozoic (Bra-                  high d13C values (Fig. 8). When turn-
decouple oceanic currents from wind                   sier and Lindsay, 1998; Kah et al.,                   over began, anoxic, alkalinity-laden,
patterns and, by inhibiting oceanic to                2001). The largest Neoproterozoic                     deep water upwelled to the surface,
atmospheric exchange of O2, would                     d13C anomalies consistently bracket                   releasing CO2 and precipitating cap
enable the oceanic bottom waters to                   LNGD (Figs 8 and 9), with enriched                    carbonates with low d13C values. Like
stagnate and become anoxic. Over                      values (d13Ccarb > 5&) observed                       the snowball hypothesis, the ocean
time, ferrous iron generated at the                   prior to glaciation and depleted values               ‘turnover’ model (Grotzinger and
mid-oceanic ridges or leached from                    (d13Ccarb < 0&) afterwards. A steep                   Knoll, 1995; Knoll et al., 1996) seeks
the bottom sediments would build up                   decline in d13C values of 10–15&                      to explain many of the salient obser-
in solution and, when circulation                     precedes any physical evidence of                     vations, but the basic premise is
became reestablished toward the end                   glaciation or sea-level fall in many                  faulty. First, it is physically difficult
of the glacial period, the iron would                 areas (Narbonne and Aitken, 1995;                     if not impossible to shut down the
oxidize to form a ‘‘last-gasp’’ blanket               Hoffman et al., 1998b; Brasier and                    overturning circulation for periods
of banded iron formation in upwelling                 Shields, 2000; McKirdy et al., 2001;                  > 1.5 kyr (Zhang et al., 2001). Sec-
areas.’ Here is how these tests turned                Xiao et al., 2001; Halverson et al.,                  ond, organic productivity would crash
out.                                                  2002). Cap carbonates are universally                 if the nutrient-rich upwelling flux were
                                                      depleted, in some cases approaching                   removed (Hotinski et al., 2001). Con-
                                                      mantle values of )6 ± 1& (Knoll and                   sequently, stratification would not
Test 1: carbon isotopes
                                                      Walter, 1992; Kaufman and Knoll,                      raise the d13C in surface waters to 5–
Direct radiometric testing of predic-                 1995; Kennedy, 1996; Kaufman et al.,                  10&, as is observed. Third, cap car-
ted glacial synchroneity has not                      1997; Hoffman et al., 1998b; Prave,                   bonates formed during post-glacial
proved possible (Table 1) because                     1999a; Brasier and Shields, 2000;                     sea-level rise (see below), when the
of an apparent dearth of suitable                     Walter et al., 2000; James et al.,                    injection of glacial meltwater would
material for dating (Evans, 2000).                    2001). Although interpretations of                    suppressed not enhance, ocean turn-
Low diversity and turnover rates of                   these remarkable trans-glacial isotopic               over. Kennedy (1996) attributes cap
microfloral and protistan remains                      shifts differ widely (see below), there is            carbonates and their low d13C values
pose severe limits on biostratigraphic                consensus that they are supra-regional                simply to post-glacial sea-level rise,
resolution until after the major Neo-                 in nature. Even those opposed to the                  but his model also depends on an 8–
proterozoic glacial events (Knoll,                    snowball hypothesis (Kennedy et al.,                  10& difference in d13C across the
2000). Regardless, a sea change in                    1998, 2001a,b; Prave, 1999a,b; Con-                   thermocline, compared with  2.5&
favour of synchronous glaciation oc-                  don and Prave, 2000) agree on the                     for Mesozoic–Cenozoic oceans.

138                                                                                                                               2002 Blackwell Science Ltd
Terra Nova, Vol 14, No. 3, 129–155                                                                                                                                                                                                                                                                                                                                                                                               P. F. Hoffman and D. P. Schrag • The snowball Earth hypothesis
.............................................................................................................................................................

                                                                                                                                                                                                                                                       (1999); 7. Clauer (1987); 8. Brasier et al. (2000); 9. Norin (1937); 10. Evans (2000); 11. Walter et al. (2000); 12. Grey and Corkeron (1998), Li (2000); 13. Frimmel et al. (2002) [McMillan (1968) would place Kaigas post-741±6
                                                                                                                                                                                                                                                       Ma]; 14. Hoffman et al. (1996); 15. Corsetti and Kaufman (in press); 16. Narbonne and Aitken (1995). Correlation of glaciations by column is rather arbitrary due to meagre radiometric age constraints. Glacials in bold type are
                                                                                                                                                                                                                                                       All ages U–Pb zircon, except Rb–Sr fine-mica ages (*). For primary sources see: 1. Gorokhov et al. (2001); 2. Harland (1997); 3. Dempster et al. (2002); 4. Evans (2000); 5. Thompson and Bowring (2000); 6. Myrow and Kaufman
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               In 1998, we invoked the snowball

                                                                                  Age (Ma)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            hypothesis, then in eclipse, as a

                                                                                                                                                                                                   777 ± 7

                                                                                                                                                                                                                    772 ± 5

                                                                                                                                                                                                                                            778 ± 2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            possible explanation for the d13C pro-
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            files (Figs 8 and 9) of carbonates
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            bounding glacial horizons in northern
                                                                                  Glaciation?                                                                                                                                                                                                                                                                                                                                                                                               Namibia (Table 1). Hoffman et al.
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            (1998b) gave three, mutually compat-
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ible explanations for the 12C enrich-

                                                                                                                                                                                                                    Kaigas
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ment observed in cap carbonates.
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            First, organic productivity on snow-

                                                                                                                                                                         723 + 16/-10
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ball Earth would be greatly reduced
                                                                                  Age (Ma)

                                                                                                                                                                                                                                            755 ± 18
                                                                                                                                                                                        748 ± 12
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            for 106–107 years, which should cause

                                                                                                                                                                                                                    746 ± 2
                                                                                                                                           742 ± 2

                                                                                                                                                                                                                    741 ± 6
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            d13C values to shift towards the
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            hydrothermal CO2 input ()6 ± 1&
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            VPDB, Des Marais and Moore, 1984)
                                                                                  Glaciation

                                                                                                                                           Konnarock

                                                                                                                                                                         Tereeken                                                                                                                                                                                                                                                                                                           at mid-ocean ridges (Kump, 1991).
                                                                                                             ‘Sturtian’

                                                                                                                                                                         Sturtian

                                                                                                                                                                                                                              Rapitan
                                                                                                                                                                                                                              Surprise
                                                                                                                                                                         Jiankou
                                                                                                                                                                         Gubrah

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Second, if carbonate sedimentation

                                                                                                                                                                                                                              Chuos
                                                                                                                                                                         Walsh
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            rates globally were very high, due to
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            the alkalinity flux from weathering in
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            the greenhouse transient, the organic
                                                                                  Age (Ma)

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            fraction of the burial flux would be
                                                                                                                                           700–730

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            negatively effected. Consequently,
                                                                                                                          630*

                                                                                                                                                                  630*

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            carbonate would have low d13C values
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            even if organic productivity had fully
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            recovered from the snowball event
                                                                                                                                                                  Hankalchoug
                                                                                  Glaciation

                                                                                                             Port Askaig
                                                                                                             ‘Marinoan’

                                                                                                                                                                  Ice Brook
                                                                                                             Elbobreen

                                                                                                                                                                  Landrigan

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            (Hoffman and Schrag, 1999). Third,
                                                                                                             Smalfjord

                                                                                                                                                                  Wildrose
                                                                                                                                                                  Numees
                                                                                                                                                                  Elatina
                                                                                                                                                                  Shuram

                                                                                                                                                                  Nantuo
                                                                                                                                                                  Jbéliat

                                                                                                                                                                  Ghaub

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            the transfer of atmospheric CO2 to
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            bicarbonate (via the weathering cycle)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            involves an  8& isotopic fraction-
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ation favouring 13C. In transferring
                                                                                                                                                       604 + 4/-3
                                                                                  Age (Ma)

                                                                                                                                 601 ± 4

                                                                                                                                                       595 ± 2

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            > 98% of the built-up atmospheric
                                                                                                                                                       595*

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            CO2 to the ocean and ultimately the
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            sedimentary reservoir, the kinetic iso-
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            tope effect (Rayleigh distillation) will
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            drive the atmospheric CO2 reservoir
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            to ever lower d13C values (Hoffman
                                                                                                             Loch na Cille
                                                                                                             Wilsonbreen
                                                                                  Glaciation

                                                                                                             Mortensnes

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            et al., 1998b). To the degree that
                                                                                                             ‘Varanger’

                                                                                                                                                       Squantum

                                                                                                                                                                                                                                Rainstorm
                                                                                                                                                       Gaskiers

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            atmospheric CO2 remains a major
           Table 1 Radiometric age constraints on Neoproterozoic glacial events

                                                                                                                                                                                                             Egan

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            source of DIC, this would be reflected
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            by cap-carbonate d13C values that
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            decline with time (Fig. 8). However,
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            the nadir in d13C (Fig. 9) does ne-
                                                                                  Palaeocontinent Age (Ma)

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            cessarily correspond to the comple-
                                                                                                                                           565 ± 3

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            tion of atmospheric CO2 drawdown,
                                                                                                                          560*

                                                                                                                                           570
                                                                                                                                           570

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            as Kennedy et al. (2001b) argue, but
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            reflects the net effect of many fac-
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            tors, including those already men-
                                                                                                                          South China
                                                                                                                          West Africa

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            tioned, as well as methane hydrate
                                                                                                                          Aus-Maws
                                                                                                                          Aus-Maws
                                                                                                                          Laurentia
                                                                                                                          Laurentia
                                                                                                                          Laurentia

                                                                                                                          Laurentia
                                                                                                                          Laurentia
                                                                                                                          Kalahari
                                                                                                                          Avalaon

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            destabilization during deglaciation
                                                                                                                          Avalon
                                                                                                                          Baltica

                                                                                                                          Arabia

                                                                                                                          Congo
                                                                                                                          Tarim

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            (Kaufman et al., 1997; Kennedy
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            et al., 2001a; but see Hoffman et al.,
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            2002a) and dolomite–calcite isotopic
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            equilibrium.
                                                                                                                          4. US Appalachians (Blue Ridge)

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               The swing to negative d13C values
                                                                                                                          5. New England, USA (Boston)
                                                                                                                          6. Newfoundland (Conception)

                                                                                                                          16. NW Canada (Windermere)
                                                                                                                          11. South Australia (Adelaide)
                                                                                                                          12. NW Australia (Kimberley)
                                                                                                                          2. NE Svalbard (Hecla Hoek)

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            observed beneath the glacial deposits
                                                                                                                          15. SW USA (Death Valley)
                                                                                                                          3. SW Scotland (Dalradian)
                                                                                                                          1. N Norway (Verstertana)

                                                                                                                          9. NW China (Quruqtagh)

                                                                                                                          13. SW Namibia (Gariep)
                                                                                                                          10. South China (Sinian)

                                                                                                                          14. NW Namibia (Otavi)

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            in many regions (Figs 8 and 9) must
                                                                                  Region (succession)

                                                                                                                          7. Mauritania (Jbéliat)

                                                                                                                                                                                                                                                       discussed in the text.

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            originate differently (Kennedy et al.,
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            2001b; Halverson et al., 2002; Schrag
                                                                                                                          8. Oman (Huqf)

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            et al., 2002) as they are separated in
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            time from the cap-carbonate anomal-
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            ies by the glacial periods which were
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            of long duration (Hoffman et al.,

 2002 Blackwell Science Ltd                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    139
The snowball Earth hypothesis • P. F. Hoffman and D. P. Schrag                                                                                                Terra Nova, Vol 14, No. 3, 129–155
.............................................................................................................................................................

                       CANADA                                                         NAMIBIA                                                              AUSTRALIA
                m        -5           0           5         10                  m     -5            0           5             10                   m               -5           0           5       10
                50                                                              50                                                                 50
    Sheepbed

                                                        a                                                                 b                                                                     c

                                                                  Maieberg

                                                                                                                                    Brachina
                40                                                              40                                                                 40
                      no δ13Ccarb data in shale
                                                                                                                                                                no δ13Ccarb data in shale
                30                                                              30                                                                 30

 Hayhook                                                                        20                                                                 20

 Ravens-                                                         Keilberg 10                                                                       10
 throat                                                                                                                            Nuccaleena
                 0                                                               0                                                                  0

               ICE BROOK GLACIATION                                            GHAUB GLACIATION                                                  ELATINA GLACIATION
                 0                                                               0                                                                  0

                -20                                     d                       -20                                       e        Trezona                                                      f
                -40
                               13
                          no δ Ccarb data in clastics                           -40
                                                                                                                                                  -500
                -60                                                                                                                Enorama
                                                                                -60
                                                                   Ombaatjie
                -80
                                                                                -80
  Keele

               -100                                                                                                                              -1000
               -120

                                                                                                                                    Etina
               -140                                                            -120
               -160                                                                                                                              -1500
                                                                               -140
               -180
                                                                               -160
               -200
                                                                                                                                                 -2000
               -220                                                            -180

                SECTION NOT SHOWN                                              SECTION NOT SHOWN                                                 SECTION NOT SHOWN
                80                                                              80                                                                 80

                                                        g                                                                 h                                                                     i
                                                                                                                                    Tindelpina
                          13
                60    no δ Ccarb data in shale                                  60                                                                 60
                                                                  Rasthof
   Twitya

                40                                                              40                                                                 40

                20                                                              20                                                                 20

                 0                                                               0                                                                  0

               RAPITAN GLACIATION                                              CHUOS GLACIATION                                                  STURTIAN GLACIATION

                         -5         0      5    10                             -100
                                                                                           no δ13Ccarb data in clastics   j                                        -5           0           5       10
                               δ13C (o/oo VPDB)                                -200
                                                                                                                                                         subaerial exposure surface
                                                                  Ombombo

                                                                               -300                                                                        cap limestone rhythmite
                                                                                                                                                           cap limestone (cementstone)
                                                                                                                                                           cap dolostone
                                                                               -500                                                                        aeolian sandstone
                                                                                                                                                           intertidal microbialaminite
                                                                               -600                                                                        cross-bedded grainstone
                                                                                                                                                           terrigenous sandstone
                                                                               -700
                                                                                                                                                           columnar stromatolite
                                                                                                                                                           wavy-laminated micrite
                                                                                      -5         0      5    10                                            flat-laminated micrite
                                                                                                                                                           shale, siltstone
                                                                                             δ13C (o/oo VPDB)

Fig. 8 Representative d13C profiles for carbonates bounding the older and younger Neoproterozoic glacials (Table 1) in the
northern Canadian Cordillera (left), the Otavi platform in Namibia (centre), and the Adelaide succession in South Australia
(right). Note high values (> 5&) before glaciation and low values (< 0&) afterwards, and the drop in values that leads the
younger glaciation. Correlation follows Kennedy et al. (1998). Sources of data are (a) James et al. (2001) Redstone section, (b)
unpublished Khowarib Schlucht section, (c) unpublished Parachilna Gorge section, (d) unpublished Stone Knife River section, (e)
Hoffman et al. (1998b) and unpublished Keiserfontein section, (f) McKirdy et al. (2001), (g) unpublished Stone Knife River
section, (h) unpublished Ombonde River section, (i) McKirdy et al. (2001), (j) unpublished Omutirapo section. Note non-uniform
thickness scales in panels d–f.

1998a; Sohl et al., 1999). We will                                                                                                               Spencer, 1972; Williams, 1979; Dey-
                                                                    Test 2: cap carbonates
discuss the preglacial anomalies, both                                                                                                           noux, 1980; Fairchild and Hambrey,
positive and negative (Fig. 8), and the                             Most LNGD are capped by continu-                                             1984; Miller, 1985; Preiss, 1987; Ait-
larger problem of how snowball                                      ous layers (Figs 3–5) of pure dolo-                                          ken, 1991; Fairchild, 1993; Brookfield,
events originate, in the penultimate                                stone (and locally limestone), metres                                        1994; Grotzinger and Knoll, 1995;
section of the paper.                                               to tens of metres thick (Spencer and                                         Kennedy, 1996; Hoffman et al.,

140                                                                                                                                                                        2002 Blackwell Science Ltd
Terra Nova, Vol 14, No. 3, 129–155                                                              P. F. Hoffman and D. P. Schrag • The snowball Earth hypothesis
.............................................................................................................................................................

                                                                                                                                            Elandshoek
                                                                                                                                               platform

                                                                      400
                                                          HST

                                                                                                                                                         Maieberg cap-carbonate sequence
                                                                      300                                                              Limestone:
                                                                                                                                    δ O18
                                                                                                                                                δ13C
                                                                                                                                       Dolomite:
                                                                                                                                    δ O18
                                                                                                                                                δ13C

                                                                                       (alteration zone)
                                                                      200

                                                                      100

                                                        MFS                         maximum
                                                                                    flooding

                                                         TST                                               Keilberg             cap dolostone
                                                                          0

                                                                                                                                                       Ombaatjie
                                                                                                                                                       platform
                                                                      -50

                                            (
                                                                                                              -10       -5         0        5
                                                  subaerial exposure surface )                                           o/oo VPDB

Fig. 9 New representative d18O and d13C profiles for carbonates bounding the Ghaub (Table 1) glacial surface on the Otavi
platform (Khowarib Schlucht section) in northern Namibia. Pockets of diamictite occur sparingly on the glacial surface overlain
by the Keilberg cap dolostone. High d13C values > 5& prevail for  460 m beneath the preglacial drop, which is erosionally
truncated in this section compared with that shown in Fig. 8(e). Section was measured and collected on the back side of the ridge
shown, where the recessive interval of maximum flooding is continuously exposed. Change in scale at the datum is necessitated by
the photographic perspective. Lithofacies as in Fig. 8.

1998a; Corkeron and George, 2001;                    preglacial    rocks    disconformably                            ‘Cap-carbonate sequences’ (see below
James et al., 2001). Their basal con-                (Wright et al., 1978; Preiss, 1987; Ait-                         and Fig. 3) share a distinct set of
tacts are characteristically abrupt                  ken, 1991; Hegenberger, 1993; Hoff-                              unusual     sedimentary      structures
(Figs 2c, 2f, 4a and 5a), with little                mann and Prave, 1996). They range                                (Cloud et al., 1974; Peryt et al., 1990;
evidence of reworking or significant                  from thin, allodapic, deep-water                                 Aitken, 1991; Fairchild, 1993; Grotz-
hiatus (Norin, 1937; Williams, 1979;                 deposits (Kennedy, 1996), through                                inger and Knoll, 1995; Kennedy, 1996;
Eisbacher, 1981; Deynoux, 1982; Pre-                 agitated shelfal facies (James et al.,                           Hoffman et al., 1998a; James et al.,
iss, 1987; Hoffman et al., 1998a; Bra-               2001), near-shore grainstones and                                2001), and they are consistently
sier et al., 2000). Cap dolostones are               stromatolites (Spencer and Spencer,                              depleted in 13C relative to other Neo-
transgressive and they typically extend              1972; Corkeron and George, 2001), to                             proterozoic carbonates (Knoll and
far beyond the confines of their ante-                supratidal tepee beccias (Fig. 5g;                               Walter, 1992; Kaufman and Knoll,
cedent glacial deposits, blanketing                  Deynoux and Trompette, 1976).                                    1995; Kaufman et al., 1997; Hoffman

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The snowball Earth hypothesis • P. F. Hoffman and D. P. Schrag                                                         Terra Nova, Vol 14, No. 3, 129–155
.............................................................................................................................................................
et al., 1998b; Kennedy et al., 1998;                  (1998a) suggested that that the snow-                 1998a; Corkeron and George, 2001;
Myrow and Kaufman, 1999; Brasier                      ball event occupied the vast majority                 James et al., 2001). In Namibia and
and Shields, 2000; Walter et al., 2000).              of this time, when the average sedi-                  the North American Cordillera, stro-
They share certain features with Ar-                  mentation rate on the platform was                    matolites in cap dolostones of the
chean and some pre-Neoproterozoic                     very low. By the end of the event,                    Ghaub, Numees (and correlative Bil-
carbonates (Grotzinger and Knoll,                     substantial net subsidence had                        dah), Wildrose, and Ice Brook glaci-
1995; Grotzinger and James, 2000;                     occurred, although masked at that                     ations (Table 1) are distinguished by
Sumner, in press), but they are with-                 time by relative sea-level fall. Upon                 internal, vertically orientated, tube-
out parallel in the Phanerozoic. They                 deglaciation, sea level rose and chem-                like or sheet-like pockets of infilled
have long been considered paradox-                    ical and/or detrital sediments rapidly                micritic sediment and cement (Cloud
ical because they suggest that an                     filled in the accommodation space                      et al., 1974; Hegenberger, 1987, 1993;
abrupt transformation from glacial                    provided, making up for ‘lost time’,                  Hoffman et al., 1998a, 2002a). The
to tropical conditions took place vir-                so to speak. High sedimentation rates                 tube-like variety (Fig. 5b) has been
tually everywhere (Spencer, 1971;                     in cap dolostones and overlying lime-                 attributed to gas escape (Cloud et al.,
Schermerhorn, 1974; Williams, 1979;                   stones are consistent with their low                  1974; Hegenberger, 1987; Kennedy
Fairchild, 1993). Kirschvink (1992)                   d13C values (see above) and with                      et al., 2001a), but close inspection
did not foresee cap carbonates as                     their petrological characteristics (see               of well-preserved examples (Fig. 5c)
consequential to snowball events – he                 below).                                               reveals a stromatolitic (microbial) ori-
was unaware of their existence (perso-                   Petrologists, being fascinated by the              gin (Hoffman et al., 1998a, 2002a;
nal communication, 1999) – but they                   unusual, have had a field day with cap                 James et al., 2001). The micritic sedi-
are a striking affirmation of the sec-                 carbonates (Peryt et al., 1990; Aitken,               ment gathered in shallow pits or
ond testable implication (see above) of               1991; Fairchild, 1993; Grotzinger and                 gutters on the stromatolitic surface,
his theory. In cap carbonates, we see                 Knoll, 1995; Kennedy, 1996; Hoffman                   which aggraded with remarkably little
the ‘smoke’, if not the ‘gun’, of the                 et al., 1998b; James et al., 2001; Ken-               change in morphology (Fig. 5b). As a
snowball Earth.                                       nedy et al., 2001a; Corsetti and Kauf-                result, the sediment-filled pits and
   ‘Cap dolostones’ (Fig. 3) are the                  man in press; Sumner, in press). The                  gutters became vertical tubes and
transgressive systems tracts (Van                     Elatina, Ghaub, Ice Brook, Landrigan                  sheets, respectively. The pitted stro-
Wagoner et al., 1988) of depositional                 and Numees glacial deposits (Table 1)                 matolite surfaces must have resembled
sequences (‘cap-carbonate sequences’)                 are directly overlain by pale, flinty,                 giant golf balls (so designed to reduce
associated with post-glacial sea-level                very pure, cap dolostones (Fig. 3),                   drag). Cap dolostones have much
rise. They typically grade across a                   generally 3–30 m thick (Aitken, 1991;                 more to reveal (Hoffman et al.,
marine flooding surface (Fig. 3) into                  Kennedy, 1996; James et al., 2001).                   2002b), but the whole ensemble of
deeper water limestone or shale, which                They are invariably well laminated                    structures suggests rapid aggradation
gradually shoals upward through car-                  and, at proper palaeodepths, hum-                     on storm-dominated ramps.
bonate or siliciclastic lutites and are-              mocky cross-laminated with laminae                       Locally, cap dolostones are overlain
nites to an exposure surface 100s of                  defined by sets of reverse-graded                      by limestone buildups composed lar-
metres above the base of the sequence                 peloids (Fig. 4b) (Aitken, 1991; Ken-                 gely of sea-floor cements (Peryt et al.,
(Figs 4a and 9). The great thickness                  nedy, 1996; James et al., 2001). Struc-               1990; Aitken, 1991; Grotzinger and
and deep-water aspect of many cap-                    tures referred to as ‘tepees’ (Fig. 4c)               Knoll, 1995; Kennedy, 1996; Soffer,
carbonate sequences (von der Borch                    occur in all the above but they have                  1998; James et al., 2001). The cements
et al., 1988; Narbonne and Aitken,                    neither the geometry nor associations                 consist of upward-fanning, prismatic
1995; Dalrymple and Narbonne, 1996;                   of conventional supratidal tepees                     crystals pseudomorphosed by calcite
Hoffman et al., 1998b) is anomalous                   (Kendall and Warren, 1987). In plan,                  (Figs 4f and 5e). The square-tipped,
within their overall stratigraphic con-               they are linear and parallel, orientated              pseudo-hexagonal habit of the crystals
text (Fig. 9). This is commonly                       subparallel to the regional palaeoslope               indicates that the primary phase was
ascribed to post-glacial sea-level rise,              (Williams, 1979; Eisbacher, 1981; Ait-                aragonite. Although individual crystal
but long-term tectonic subsidence is                  ken, 1991; Kennedy, 1996; James                       fans are small (< 1 cm), they aggre-
required to preserve the sequence                     et al., 2001), not polygonal like con-                gate into reef-like masses (pseudo-
from isostatically driven erosion, be-                ventional tepees (Fig. 5g), which re-                 stromatolites) that range from metres
cause the glacio-eustatic cycle alone                 sult from lateral expansion due to the                to decametres in scale (Fig. 5a,d). The
creates no permanent accommodation                    force of crystallization (Kendall and                 cements did not precipitate slowly in
space. On the Otavi carbonate plat-                   Warren, 1987). Inspection of their                    the absence of particulate sediment,
form in northern Namibia, an estima-                  cuspate axial zones (Fig. 4d) reveals                 but grew rapidly in a race against
ted background tectonic subsidence                    that they formed by continuous                        micritic burial (Figs 4f and 5d,e). The
rate equivalent to  0.065 mm yr)1                    aggradation in a highly oscillatory                   cementstone buildups are up to 50 m
of isostatically adjusted carbonate                   flow regime. Microbial bioherms                        thick, but eventually they give way to
(Halverson et al., 2002) implies a                    (Fig. 5a–c) and biostromes (stromat-                  flaggy, allodapic, pink limestone with
timescale on the order of 5 million                   olites) occur within some cap dolo-                   large-scale hummocky cross-bedding
years to create the accommodation                     stones (Spencer and Spencer, 1972;                    (Maieberg Formation, Namibia), or
space occupied by the younger cap                     Cloud et al., 1974; Wright et al., 1978;              to black, organic-rich shale (Sheepbed
carbonate sequence (Fig. 9), which is                 Walter and Bauld, 1983; Bertrand-                     Formation, Canada). The cements
300–400 m thick. Hoffman et al.                       Sarfati et al., 1997; Hoffman et al.,                 imply a high degree of carbonate

142                                                                                                                               2002 Blackwell Science Ltd
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