Cheats as first propagules: A new hypothesis for the evolution of individuality during the transition from single cells to multicellularity
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Insights & Perspectives Hypotheses Cheats as first propagules: A new hypothesis for the evolution of individuality during the transition from single cells to multicellularity Paul B. Rainey1) and Benjamin Kerr2) The emergence of individuality during the evolutionary transition from single Introduction cells to multicellularity poses a range of problems. A key issue is how vari- ation in lower-level individuals generates a corporate (collective) entity with The panoply of plant and animal form Darwinian characteristics. Of central importance to this process is the evol- that defines life owes much to the rise of multicellularity [1]. From a genetically ution of a means of collective reproduction, however, the evolution of a diverse range of starting positions, inde- means of collective reproduction is not a trivial issue, requiring careful con- pendent unicellular lineages have made sideration of mechanistic details. Calling upon observations from exper- the transition to multicellularity [2]. The iments, we draw attention to proto-life cycles that emerge via most ancient transitions occurred in unconventional routes and that transition, in single steps, individuality to the major lineages of large multicellular eukaryotes approximately 1,000 million higher levels. One such life cycle arises from conflicts among levels of selec- years ago [3]. Multicellularity has also tion and invokes cheats as a primitive germ line: it lays the foundation for arisen in the ciliates, slime molds, dia- collective reproduction, the basis of a self-policing system, the selective toms, and certain groups of prokaryotes environment for the emergence of development, and hints at a plausible ori- [2, 4–7]; most recently it has occurred in gin for a soma/germ line distinction. the volvocine algae [8–11]. . The evolution of multicellularity involved a hierarchical shift in Keywords: Darwinian individuality during which biological complexity; conflict; cooperation; experimental evolution; multi-level individual cells relinquished their selection capacity to reproduce as independent units and came to reproduce as part of a larger whole [12, 13]. Explaining this shift in selection – from individual cells to groups of cells – poses a range of significant problems. Okasha [13] sum- marizes: ‘‘The challenge is to understand DOI 10.1002/bies.201000039 [. . .] transitions in Darwinian terms. Why was it advantageous for the lower-level 1) New Zealand Institute for Advanced Study and Abbreviations: units to sacrifice their individuality and Allan Wilson Centre for Molecular Ecology & MLS, multi-level selection; WS, wrinkly spreader. form themselves into a corporate body? Evolution, Massey University, Auckland, And how could such an arrangement, New Zealand 2) Department of Biology, University of once first evolved, be evolutionarily Washington, Box 351800 Seattle, Washington stable?’’ Equally, one might focus on 98195, USA the higher level and ask how individu- ality emerges at the level of the corpor- *Corresponding author: Paul B. Rainey ate body. In placing the emphasis on E-mail: p.b.rainey@massey.ac.nz individuality at the higher level [14] Bioessays 00: 000–000,ß 2010 WILEY Periodicals, Inc. www.bioessays-journal.com 1
P. B. Rainey and B. Kerr Insights & Perspectives ..... there is recognition that individuality is However, the transition to multicellular- functionality and independent of the a derived character and one that ity is far more than the evolution of reproductive properties of the individ- requires an evolutionary explanation cooperation. Critical for the evolution ual cells. While such a scenario Hypotheses [15]. The key issue is to explain how of multicellular organisms is the evol- describes plausible changes, the model variation in lower-level individuals gen- ution of group level adaptations includ- assumes that the capacity to leave group erates a corporate entity with Darwinian ing group reproduction, mechanisms to offspring is already in place. But how characteristics [16]. In this context suppress cheating, and the emergence such a new level of reproduction we argue that the critical problem is of development and differentiation. The emerges requires explanation. the evolution of a means of collective focus of attention thus shifts from traits reproduction. that are defined by the properties of The obvious solution is a life cycle: individual entities to traits that are the life cycles involving single-cell bottle- properties of groups of cells. This shift The evolutionary necks are a ubiquitous feature of multi- marks a significant alteration in emergence of group cellular life [15, 17, 18]: life cycles allow perspective and a move to the MLS-2 reproduction collectives to produce offspring. Despite framework [20]. However, in MLS-2, their biological significance, the evol- group fitness is defined independently From a theoretical perspective the shift utionary origins of life cycles are unclear of particle fitness. The most successful from MLS-1 to MLS-2 encapsulates an [15, 19]. Here, informed by experimental groups are those that contribute the evolutionary transition in individuality. studies, we draw attention to critical greatest number of group offspring to The transition completes when the issues and mechanistic problems that the next generation irrespective of the higher-level entities become Darwinian lie at the heart of life cycle evolution. number of cells those groups contain. individuals, that is, when populations We suggest solutions – albeit of an Thus, fitness in MLS-1 and MLS-2 con- of these organisms display variation, unconventional sort – and even go so texts is different: in the MLS-1 context, heritability, and reproduction. Thus, far as to suggest that one route to a fitness is the number of offspring one critical trait that marks individuality proto-life cycle may have been fueled particles, whereas, in MLS-2, the num- at the higher level is the capacity for by the tension inherent in levels of selec- ber of offspring collectives defines fit- groups to leave offspring groups. tion and may have involved cheating ness. While this makes intuitive – and Reproduction of collectives requires genotypes as propagules. theoretical – sense [13], it does not development and a life cycle, which is amount to an explanation: just how not something that newly formed individuality transfers from particles groups are necessarily born with The multi-level selection to collectives is a profound problem. [15, 19, 30]. When considering the evol- framework Theoretical studies of Michod and utionary origins of such a capability – Nedelcu have made important contri- particularly via natural selection – prob- Multi-level selection (MLS) theory butions, particularly the concept of fit- lems arise. The evolution of traits adap- [13, 20–22] provides a powerful theoreti- ness decoupling: the need – during an tive at a given level of biological cal framework within which to consider evolutionary transition – for fitness at organization requires the existence – major evolutionary transitions. During the higher level to become decoupled at that level – of the necessary prereq- initial stages of the transition from from the fitness of lower level [29]. uisites for Darwinian individuality single cells to multicellularity, the focus While being a seminal insight, the [16, 31–34]. When the trait whose origin is individual cells. Given appropriate mechanism by which it comes about is we wish to explain is reproduction we ecological conditions [23–25], selection unclear. For example, Michod [14] uses face a dilemma: appeals to natural favors the evolution of simple undiffer- a simple model for the evolution of mul- selection would seem to presuppose entiated groups – arising, for example, ticellularity that begins with ‘‘adult’’ the existence of collective reproduction from the production of adhesive glues organisms comprised of two cell types – the very trait whose evolution requires [25–28]. The cause of cooperation (pro- (cooperate and defect). Although the explanation. Griesemer foresaw pre- duction of adhesive glues) is the prop- adult organisms are capable of produc- cisely this problem when he argued that erty of the individual cells. Selection at ing offspring propagules, the pro- explaining the emergence of a new level the higher (group) level affects the duction of propagules is not a of organization is necessary before spread of the trait, but group fitness is consequence of adult functionality, invoking the evolution of adaptations nothing more than the average (or sum) but rather is dependent on the average specific to that new level [30]. of the fitness of the individual cells that fitness of the individual entities of which Below we outline two adaptive comprise the group. From a formal each adult is comprised. As Okasha [13] solutions in which individuality perspective the spread of cooperation remarks, this is ‘‘a sort of gray area emerges at the very same moment that is readily explained by kin selection between MLS-1 and MLS-2’’. Gradually, the capacity for groups to leave collec- and traditional group selection theory as the transition proceeds, fitness tive offspring evolves. However, we also and is encompassed by MLS-1 theory. becomes ‘‘decoupled’’ from the lower recognize the potential for non-adaptive Within this MLS-1 framework, the fittest level and with this, individuality solutions. A third possibility is that evol- groups are those that contribute the emerges at the level of the adult, to ution of a means of collective reproduc- greatest number of individual cells to the point where the capacity to leave tion is not necessary and that selection the next generation [13, 20]. offspring is a product of adult on group viability alone is sufficient. 2 Bioessays 00: 000–000,ß 2010 WILEY Periodicals, Inc.
..... Insights & Perspectives P. B. Rainey and B. Kerr Hypotheses Figure 1. The role of group reproduction in group adaptation. A: A scenario is shown in policing, development, and differen- which loose groups form from individual cells (given as red and blue circles). These groups tiation. do not beget new groups, nor do they contribute individual cells back to the cell population. Imagine, however, that the viability Natural selection can certainly act on these groups. For example, in the picture, groups with process operates in tandem with a proc- more blue cells live longer and therefore the frequency of blue cells within groups remains high (this occurs even though the blue cells are at a frequency equal to the red cells within ess by which groups are created from the ‘‘free cell’’ population). However, there is no way for evolutionary innovations at the group the lower-level parts of pre-existing level to propagate through this form of group viability selection (given finite group lifetimes). groups (Fig. 1B). For selection to work For example, it is not the case that groups with blue cells are more likely to form in future creatively – and potently – on the higher generations because they have a viability advantage at the group level. B: A scenario is level it is crucial for groups to beget shown where group reproduction occurs. This opens the door for fecundity selection at the groups. But this returns us to the para- level of groups. In this picture, if a group possesses an innovation improving its survival or doxical situation described above: reproduction, then the innovation can be passed on to daughter groups. For example, the production of specialized cell types (shown in green) leads to a proliferation of groups with namely, that the capacity of groups to these specialized cells. Such a scheme requires both group reproduction and heredity of the beget groups requires groups to have developmental program. In this figure we surround the constituent cells with a solid outer evolved this capacity. circle as they now have some of the properties associated with a higher-level individual (i.e. differentiation of parts and capacity to reproduce). If these groups compete with their free cell cousins and group formation confers advantages, then this population could shift from lower- Insights from experiments level individuals to higher-level individuals, thereby accomplishing a major transition. Our experimental work uses popu- lations of the bacterium Pseudomonas fluorescens. When propagated in a This final option we consider unlikely ancestral state (which is readily envis- spatially structured environment, the and explain why in the next section. aged), then selection will favor the most ancestral bacterium diversifies produc- viable groups (Fig. 1A). Although such ing a range of niche specialist genotypes groups are seen by selection, the con- [35]. Among the numerous emergent The inadequacy of viability nection between the consequences of forms is a class of genotypes collectively selection selection at the level of groups at one known as wrinkly spreader (WS), which point in time and the properties of form a self-supporting mat at the air- The absence of a means of collective groups at a latter point in time is lack- liquid interface (Fig. 2). reproduction does not mean that selec- ing. The only connection is via the WS genotypes arise from a wide tion cannot act on collectives, but its lower-level entities. It is difficult to see range of simple mutations that result capacity to do so is limited to selection how viability selection alone could in over-activation of adhesive factors at the level of collective viability. result in the evolution of true group- (a cellulosic polymer and a protein- Provided that simple undifferentiated level traits such as the capacity for aceous factor) [36–38]. The overproduc- groups can evolve repeatedly from the group reproduction, let alone, self- tion of ‘‘glues’’ causes cells to remain Bioessays 00: 000–000,ß 2010 WILEY Periodicals, Inc. 3
P. B. Rainey and B. Kerr Insights & Perspectives ..... requires that the cells within each group periodically switch off traits that deter- mine social behavior and then reactivate Hypotheses their expression to form new groups. This requires the existence of develop- mental control – a group-level trait – the evolution of which raises the problems discussed above. In the absence of a means of regulating social behavior, newly formed groups are driven extinct Figure 2. The rise, fall, and destruction of a simple undifferentiated group. Left: The wrinkly spreader mat is the cumulative product of the cooperative interactions of millions of cells. By by selfish types. working together the cells in the mat colonize the air-liquid interface – a niche that is unavail- One way forward would be for group able for the ancestral (broth-colonizing) type. In colonizing this new niche the cells of the mat reproduction to be effected by an exter- are rewarded with an abundance of oxygen. Middle: When the mat becomes too heavy, it nal factor, for example, stochastic collapses into the broth (it is not buoyant). The collapse is hastened by the presence of disturbance of microcosms. Indivi- cheating genotypes that grow like a cancer within the mat adding no structural strength, but duality of a kind would therefore be reaping the benefits (access to oxygen). Right: A mat is far more than the sum of the individ- endowed to the groups, but it is difficult ual parts. This photo was taken immediately after disturbing (with a brief shake) a microcosm with an intact mat. The mat breaks into many pieces (just visible on the bottom) and does to see how this haphazard means of not spontaneously reform. While a mat will eventually re-emerge, it will do so by a process of reproduction would be effective. growth and development from a limiting inoculum. Dawkins [34] comes to a similar con- clusion regarding the difficulty of organ- ismal adaptation given reproduction through a type of slapdash fissioning. attached after cell division. While there evolution of cheating (selfish) types is to is a significant fitness cost to each indi- be expected. Such types evolve and vidual WS mutant [25, 39, 40], WS cells grow as a cancer within the mat. Life cycles: Solutions and nonetheless increase in frequency ulti- Cheats do not produce adhesive poly- transitions mately out-competing the ancestral gen- mers and therefore grow rapidly – they otype. They achieve this because the are also highly motile. Provided they For Dawkins, adaptive evolution at the cost to individual cells is traded against arise within the fabric of the mat then level of the multicellular organism a benefit that accrues to the group of WS they reap the benefits of group member- requires a developmental cycle (e.g. cells. It works as follows: the production ship (access to oxygen) while forgoing multicellular differentiation from a of adhesive glues means that upon the cost of polymer production: in doing single-cell origin each generation). binary fission, daughter cells remain so they make no contribution to the net- However, to avoid the pitfall of invoking linked. Continuing cell division causes work of polymeric strands required for group reproduction as a precondition the population of cells to expand in a maintenance of mat integrity. As might for its own evolution any adaptive single-cell layer across the air-liquid be anticipated, the cancerous growths solution to the evolution of a life cycle interface ultimately joining and becom- compromise the WS mat, and it ulti- would appear to require the emergence ing attached to the edge of the glass vial. mately collapses [25] (Fig. 2): a classic of a life cycle concomitant with the tran- Once the surface is colonized, the mat tragedy of the commons [43]. sition in individuality. While seemingly grows in thickness, becoming a robust The emergence of groups leads to improbable, we outline two scenarios, structure that is the cumulative product questions as to their further evolution. the first arising directly from experimen- of the cooperative interactions of many At this point, standard (MLS-1) group tal studies. millions of cells. By working together, selection models are invoked, but it Consider the model Pseudomonas the cells in the mat colonize a niche becomes apparent that such models fail populations: the moment the number unavailable to the ancestral type. In col- to fit with the biological reality of newly of WS cells become sufficient to form onizing this new niche the cells of the formed WS groups. Standard group a mat the stage is set for the evolution mat are rewarded with an abundance of selection models effectively explain of cheating types. Cheats, while being oxygen [25]. the maintenance of cooperation in the the nemesis of the mat, are also its The evolution of a WS mat involves face of selfish types that emerge as a potential savior. Cheats have character- the evolution of cooperation – de novo consequence of selection at the lower istics of propagules: they can disperse and in real time – from an ancestral level. In the absence of population from the mat – like a germ line they can state that is asocial and unicellular. structure, selfish types ultimately out- regenerate WS, albeit upon further The spread of polymer production is compete cooperating types causing their mutation (Fig. 3). Indeed, in the case readily explained by kin selection [41, extinction. If population structure of Pseudomonas, the modular nature 42]. Baring mutation, clonal reproduc- exists, then cooperating types can be of the genetic architecture underlying tion means that WS mats are comprised maintained provided there is periodic the evolution of WS genotypes provides of individuals whose relatedness is com- dispersal of cells into a global popu- considerable evolutionarily flexibility plete, the mat being a clone of geneti- lation, reassortment, followed by the [46, 47]. Ancestral genotypes readily cally identical cells. Given mutation, the formation of new groups [44, 45]. This give rise to WS genotypes, which in turn 4 Bioessays 00: 000–000,ß 2010 WILEY Periodicals, Inc.
..... Insights & Perspectives P. B. Rainey and B. Kerr (and phenotypic) state inaccessible to the ancestral genotype [52]. While adap- 2 3 4 tive in the new environment, the trait is 5 Hypotheses not environmentally responsive. Critical evolutionary events are thus required to ‘‘rewire’’ the organism, such that mat formation comes under developmental control. We suggest that continued selection in an environment that favors 6 alternate phenotypic states (mat-form- ing and cheating) provides such an opportunity. In outlining this scenario we recognize both parallels and differ- ences with traditional and emerging ideas surrounding the evolution of developmental control [19, 49, 51, 53– 1 56]. 7 Additional scenarios for the evol- ution of life cycles that might effect the transition from MLS-1 to MLS-2 can be envisaged. Before considering non-adap- Figure 3. A putative life cycle for mat-forming bacteria. We start with a single bacterium tive models for life cycle evolution, we (given in blue) capable of producing an extracellular adhesive. (1) It reproduces at the inter- describe an alternative hypothesis in face between liquid and air (in the case shown, starting at the inner surface of a glass tube). which, unlike the model above where Daughter cells stick together because of the adhesive they produce. (2, 3) The resulting mat the ‘‘germ line’’ is interrupted by spreads over the liquid’s surface as a single-cell layer. (4) Due to prime access to oxygen, a robust mat forms. Mutation generates ‘‘cheats’’ (green cells that do not produce any mutation, here the germ line is uninter- adhesive polymer and grow faster as a consequence). (5) These cheats spread like a cancer rupted by mutation. From the outset such within the mat and contribute to (6) the collapse of the mat. Because the cheats do not a model is appealing because it removes produce the adhesive, they are liberated from the mat upon collapse. (7) Back mutation from the potentially restrictive requirement of one of these cheats to a mat-producing cell completes the life cycle. Of course, we do not mutation for the transition between imagine such a life cycle playing out in an environment where only a single mat can form (like stages of the life cycle. a single tube). Rather, the back mutants from the liberated cheats could establish mats in Once again we make use of the different locations from their parent mat. Here the cell type leading to the death of the group also leads to its rebirth. The cheats amount to propagules (‘‘germ line’’), arising de novo from model Pseudomonas populations as a the mat-forming ‘‘soma’’ of an incipient multicellular individual. vehicle for our ideas, but this time we take as the focus of interest the lower- level (cheating) entities. Consider the cheating type as a totipotent germ line. lose the mat-forming phenotype by necessary for the eventual integration Imagine that during the course of its simple mutations that suppress pro- of ‘‘life cycle’’ phases within a single growth it produces, by chance duction of the adhesive glues. The cohesive organism (Boxes 1 and 2). mutation, a cell type with which it effects of these suppressor mutations Indeed, a recent experiment in which interacts, either directly, or indirectly, can be readily reversed by mutations P. fluorescens cells were ‘‘forced’’ to and which, via that interaction, aids its at additional loci [48]. Thus, from the transition between groups gives reason own reproductive output. We might tension among levels of selection, a for optimism. After just four cycles, in consider this a ‘‘helper’’ type; indeed, proto-life cycle emerges spontaneously two (of twelve) replicate lines, geno- we might consider the WS genotype an (given appropriate ecological con- types arose that evolved the capacity exemplar of such a helper, although in ditions) and with no requirement to to switch stochastically between states so doing we add a level of complexity invoke group-level reproduction as a by an epigenetic mechanism [48]. (and selection) that is not necessary: precondition. The emergence of such phenotype the helper may be any kind of repro- A life cycle that requires mutation to switching is a critical event in the evol- ductive altruist. An interesting transition the emerging ‘‘organism’’ ution of developmental control [49, 50]. example is provided by the suicidal between phenotypic states is a far cry While the end product remains to be altruists of Salmonella typhimurium from a developmentally regulated life experimentally realized, we envisage that die while preparing the ground cycle; however, its existence is sufficient developmental control emerging as a for infection [57]. to allow selection to operate at the level multi-step process, the first stage being Nonetheless, returning to the of the collective. Indeed, we suggest that the realization of a novel phenotypic familiar WS: as the mat forms it becomes the proto-life cycle might provide the state (the mat-forming phenotype) – infiltrated by cells of the germ line basis for the evolutionary emergence the result of selection in an ‘‘extraordi- which reap the advantage that accrues of development – a ‘‘kick-start’’ – that nary environment’’ [51]. Mutation brings from growth at the air-liquid interface. establishes the ecological conditions the existing pathway to an expression Eventually the mat collapses and the WS Bioessays 00: 000–000,ß 2010 WILEY Periodicals, Inc. 5
P. B. Rainey and B. Kerr Insights & Perspectives ..... Box 1 example, the interrupted model carries with it the initially burdensome require- ment for mutation to mediate the tran- Model for the development of a single mat Hypotheses sition between different stages of the life cycle, whereas the uninterrupted model Here we develop a simple discrete-time model to track differentiation within a requires only one-way mutation (to mat and its eventual collapse. The model follows two cell types: mat formers dead-end helper cells). The uninter- and cheats. We begin by describing the population dynamics within a single rupted model thus seems to offer a lower mat. Assuming that every mat is initialized by a single mat former cell, then over hurdle for an evolutionary transition. time, mutation generates cheats. Let m(t) and c(t) be the sizes of the mat However, things get more complex former and cheat populations, respectively, in a single mat at time t. when one considers a second dis- Populations within a mat grow according to the following branching tinguishing feature, namely the origin process [70]: of multicellular differentiation. The uninterrupted model requires the emer- mðtÞ X cðtÞ X gence of extreme altruism via mutation mðt þ 1Þ ¼ ½Xi Fi ðXi Þ þ Gj ðYj Þ; (1) in the presence of would-be cheats. On i¼1 j¼1 the other hand, the interrupted model cðtÞ X mðtÞ involves nothing more than the advent X cðt þ 1Þ ¼ Yj Gj ðYj Þ þ Fi ðXi Þ: (2) of cheats in the face of cooperation. We j¼1 i¼1 do, however, note that for both models, the reliance on mutation sets a lower The sets {X1, X2, X3, . . .} and {Y1, Y2, Y3, . . .} contain independent and limit to the number of cells that com- identically distributed (i.i.d.) Poisson-distributed random variables prise each collective. (XPoisson(bm) and YPoisson(bc)). The ith mat former has Xi offspring cells, In outlining these two models our whereas the jth cheat has Yj offspring cells. In this model, bm and bc are the intention has been to portray possible average number of offspring cells per mat-forming cell and cheat, respectively, scenarios for the evolution of life cycles, per unit of time (b0 s are birth factors). Because cheats reproduce without particularly the selective conditions contributing to the integrity of the mat, we assume that these cells have a birth favoring ecologically distinct pheno- rate advantage, i.e. bc > bm. types, that might eventually evolve to The sets {F1, F2, F3, . . .} and {G1, G2, G3, . . .} contain i.i.d. binomially- come under regulatory (developmental) distributed random variables (F(n)Binomial(n,mm,c) and G(n)Binomial control. The molecular details by which (n,mc,m)). Of its Xi offspring, the ith mat former has Fi cheating mutants, and such control could emerge are unknown of its Yj offspring, the jth cheat has Gj mat former mutants. For simplicity, we let but are likely to depend on non-adaptive the probability of mutation from mat former to cheat (mm,c) and from cheat to processes such as mutation and genetic mat former (mc,m) be equal: mm,c ¼ mc,m ¼ m (Box 2). drift [59], opportunities for co-option The cell dynamics within a microbial mat are given by equations (1) and (2). [60, 61] (facilitated by mutation and In addition, we assume that any mat has a finite lifetime (t ). The probability that drift) and the existence of plasticity a mat collapses at time t ¼ T is given by: [49, 62]. Under some circumstances it is even possible that the plasticity Prðt ¼ T Þ ¼ 1expfðam mðT Þ þ ac cðT ÞÞg (3) inherent in the genomic and regulatory Thus, as the number of cells in a mat increase, the mat is more likely to organization of certain unicellular enti- collapse. Again, because cheats do not contribute to mat integrity, they have a ties might be sufficient to produce a disproportionate negative effect on the lifetime of the mat, i.e. ac > am. simple life cycle with minimal involve- ment from selection. For example, single cells driven to group formation as a mechanism of predation-avoidance lineage goes extinct; nonetheless, the term advantage gained from coloniza- might – given an appropriately organ- germ line remains and in time gives rise tion of the oxygen-replete air-liquid ized and pre-prepared regulatory system to further WS types which it again interface). From another perspective, – be capable of utilizing gradients exploits for its own advantage. Such a the WS is an unfortunate pawn, sacri- generated across the colony as a means scenario captures aspects of an earlier ficed by the germ line. of, for example, regulating the tran- hypothesis in which the germ line Thus from different starting pos- sition between clumping and dispersing originates as a consequence of ‘‘other itions we arrive at essentially the same behaviors [63]. cell lineages altruistically removing end point: in both, interrupted and An idea like this involving co- themselves from the reproductive line uninterrupted models, there exists option of a life history gene has been to perform some somatic benefit to the potential for the evolution of a life cycle suggested to explain the evolution of organism’’ [58]. From one perspective, and with that exists potential to arrest reproductive altruism in the higher vol- the WS is an extreme altruist, sacrificing in the germ line stage: individuality vocine algae [64]. The central idea is its life for the germ line (altruism being in an MLS-2 sense is apparent. There that in the ancestral (unicellular) state an indirect consequence of the short- are, however, some differences. For expression of the life history gene is 6 Bioessays 00: 000–000,ß 2010 WILEY Periodicals, Inc.
..... Insights & Perspectives P. B. Rainey and B. Kerr Box 2 pressure to lengthen mat generation time to maximize the absolute number of cheat cells produced by a mat. We use the model from Box 1 to identify the optimal mutation rate Hypotheses Adaptive developmental programs under r- and K-selection. in mat populations As in Box 1, assume a given mat collapses at t. There are c(t) cheats at this time, which we label c. Under A life cycle initially dependent upon mutation and fueled by r-selection, we maximize growth rate of mats within a conflicts among levels of selection appears understand- mat population. To do this, we consider the joint distri- ably restrictive. In particular, there is the thorny issue of bution of t and c. Specifically, for any mat, we have: heritability, which arises from the mutational lottery that Prðt ¼ T and c ¼ C Þ ¼ pðT ; C Þ determines the fate of cells. However, this problem is not Armed with this distribution, the long-term growth rate as great as it may first seem: the critical issue is the rate of (r) of a mat population with a specified developmental transition between states and this rate is heritable. Indeed, program is given by the solution to the Euler-Lotka the way a mat consigns cells to different categories via equation [71–73]: mutation defines its developmental program. In turn, this X1 X 1 yields the life history of the mat. Thus, we focus on how pðT ; CÞmCe rT ¼ 1 changes in mutation rate (m) affect mat fitness. Here we T ¼0 C¼0 show how the developmental program can be adaptively For simplicity, we assume that a fraction m of the cheats tuned to specific ecological conditions. mutate back to mat formers directly after the mat collapses. Mat-level fitness is the ability of the mat to generate We use a Monte Carlo simulation approach to generate offspring mats and is proportional to the number of cheats the joint distribution p. Specifically, we generate 50,000 contained in the mat upon its collapse. This fitness metric points (t, c)i using equations (1)–(3). An example of this is fully adequate if mats always have the same generation joint distribution is shown in Fig. 4. In the figure we see the time. However, the generation time of a mat is specified (at life history tradeoff faced by the mat: higher fecundity least probabilistically) by its developmental program requires a longer generation time. With this joint distri- [Eq. (3) in Box 1]. bution, we solve the following equation for r: All else being equal, a shorter generation time is X mc e rti 50;000 i beneficial within a growing population of mats. However, ¼1 50; 000 because cheats simultaneously contribute to mat repro- i¼1 duction and expiration, all else is not equal. For instance, if We then look for the mutation rate (m) that maximizes r. a slightly longer-lived mat can have many more cheats For K-selection, we search for the mutation rate that upon collapse, then it may be advantageous to live longer. maximizes c. We employ the same Monte Carlo approach Different ecological circumstances will favor different to generate 50,000 c values, then we look for the mutation developmental programs. Here, we consider two ecologi- rate that maximizes the average c value. cal conditions. In the first (r-selection), sites for mat for- Figure 5 shows the results of this analysis: under r- mation are always available, so there is a premium on a selection, high mutation rates are favored; under K-selec- short mat generation time. Production of cheats should be tion, lower mutation rates are favored. Under r-selection, adjusted as to maximize growth rate within an expanding longevity is sacrificed for a quick investment in cheats allow- population of mats. In the second condition (K-selection), ing a rapid explosion of mats. Under K-selection, longer- sites for mat formation are rarely encountered and there is lived mats are selectively favored to maximize cheat output. Figure 4. The joint distribution of mat lon- Figure 5. Optimal mutation rates in mat development. A: Long-term growth (in an gevity and mat fecundity. These points were r-selected environment) is shown as a function of the mutation probability. Here we see generated from simulations of mat develop- higher mutation rates yielding faster growth of a lineage of mats. B: Mat fecundity (favored ment given by Eqs. (1), (2), and (3) (bm ¼ in a K-selected environment) is maximized at lower rates of mutation. In parts A and B, the 4.0, bc ¼ 6.0, am ¼ 106, ac ¼ 105). parameters of the model are the same as those in Fig. 4. Bioessays 00: 000–000,ß 2010 WILEY Periodicals, Inc. 7
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