Climate dynamics: temporal development of the occurrence frequency of heavy precipitation in Saxony, Germany
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B Meteorol. Z. (Contrib. Atm. Sci.), Vol. 29, No. 5, 335–348 (published online May 13, 2020) © 2020 The authors Climatology Climate dynamics: temporal development of the occurrence frequency of heavy precipitation in Saxony, Germany Andrea S. Schaller1∗ , Johannes Franke2 and Christian Bernhofer1 1 Chair of Meteorology, Institute of Hydrology and Meteorology, Faculty of Environmental Sciences, Technische Universität Dresden, Germany 2 Department of Climate and Air Quality, Saxon State Agency for Environment, Agriculture and Geology, Dresden, Germany, (Manuscript received December 31, 2015; in revised form February 28, 2020; accepted March 12, 2020) Abstract Several studies showed the impact of global climate change in Germany and Saxony including the risk of increasing precipitation extremes. Here, heavy precipitation was analyzed on the basis of daily precipitation sums using the 95th percentile (index R95p). The long term development was studied for selected stations (1917–2013). Transects with high spatial resolution (1×1 km) (1961–2015) complemented the study to gain information about spatial temporal development of the occurrence of precipitation extremes. The non parametric kernel occurrence rate estimation has been applied to reveal changes in the temporal development of daily totals. The most distinct changes have been found for the seasons and the growing seasons and only slight changes for the calendar year and the meteorological half-years. The findings of this study showed a shifting seasonality with decreasing number of heavy precipitation events in the growing season I (April, May, June) and increasing number of events in growing season II (July, August, September). Furthermore, a distinct periodicity has been revealed in all findings for all seasons, particularly striking in the growing seasons, indicating the influence of large scale drivers as potentially the North Atlantic Oscillation on local precipitation extremes. Our data showed, that kernel occurrence rate estimation is a suitable approach to analyze the temporal development of heavy precipitation with a high temporal and spatial resolution. Keywords: heavy precipitation, precipitation extremes, kernel occurrence rate estimation regional climate change, trend variability and stability, shifting seasonality 1 Introduction trends only for a few locations and pointed out the strik- ing seasonality in the trend pattern of precipitation ex- Extreme weather events, respectively changes in climate tremes in Europe. In Germany the occurrence of pre- extremes, are an ongoing research topic all over the cipitation extremes depends on seasons with regional world (Karl and Easterling, 1999; Easterling et al., variances (Trömel and Schönwiese, 2007). Seasonal 2000; Tebaldi et al., 2006; WMO, 2013). The IPCC analyzes of heavy precipitation for Saxony (Eastern Ger- special report focuses on the management of the risks of many) gave a very inconsistent impression. For winter extreme events and disasters to advance climate change increases have been found for Germany (Zolina et al., adaption (Field, 2012). Especially heavy or extreme 2008), central-western Europe (Zolina et al., 2009) and precipitation is of particular interest, due to its high central and eastern Europe (Bartholy and Pongrácz, variability compared to other climate elements. 2007), whereas Trömel and Schönwiese (2007) re- Increasing heavy precipitation trends have been re- ported nearly no changes to small increases for the ported worldwide (Frich et al., 2002; Groisman et al., north-eastern part of Germany for extreme precipitation 2005; Alexander et al., 2006; Moberg et al., 2006). in the winter months. In the summer season heavy pre- A complex and non-uniform spatial pattern of extreme cipitation trends are weak, rarely significant and spa- precipitation changes were observed for the last cen- tially not coherent (Moberg and Jones, 2005; Moberg tury on a regional scale in Europe (Alpert et al., 2002; et al., 2006). Wetting trends have been identified for cen- Klein Tank and Können, 2003; Brunetti et al., 2004; tral and western Europe (Moberg and Jones, 2005). Moberg and Jones, 2005; Zolina et al., 2010). For Eu- For the north-eastern part of Germany a decrease of rope increasing heavy precipitation tendencies with low the occurrence of relatively high precipitation have been spatial coherency have been identified (Klein Tank and noticed (Trömel and Schönwiese, 2007). Increasing Können, 2003). Zolina et al. (2005) confirmed robust summer precipitation trends have been reported for most of the Czech Republic (Kyselý, 2009), with Czech Re- ∗ Corresponding author: Andrea S. Schaller, Chair of Meteorology, Institute public being important due to its location at the south- of Hydrology and Meteorology, Faculty of Environmental Sciences, Techni- east border of Saxony. Diverse heavy precipitation ten- sche Universität Dresden, Pienner Str. 23, 01737 Tharandt, Germany, e-mail: dencies have been reported for spring: For west Ger- Andrea.Schaller@mailbox.tu-dresden.de © 2020 The authors DOI 10.1127/metz/2020/0771 Gebrüder Borntraeger Science Publishers, Stuttgart, www.borntraeger-cramer.com
336 A.S. Schaller et al: Occurrence frequency of heavy precipitation in Saxony Meteorol. Z. (Contrib. Atm. Sci.) 29, 2020 many heavy precipitation increased (Hundecha and cipitation events, which means all precipitation events Bárdossy, 2005). In Czech Republic on the other hand reaching the 95th percentile was included. Therefore, significant declines in the frequency of heavy precipi- the index R95p, referring to the Climate Change In- tation were found in spring (Kyselý, 2009). In autumn dices by the WMO, was used. The nonparametric Kernel Germany shows a non-uniform spatial extreme precipi- Occurrence Rate Estimation was used to identify peri- tation pattern, with increasing heavy precipitation (mag- ods of high and low occurrence frequencies (Mudelsee nitude and frequency) in west Germany (Hundecha et al., 2004). The main advantages of this method is the and Bárdossy, 2005) and decreasing in north-east Ger- completely unsusceptible to outliners (Dalelane and many (Trömel and Schönwiese, 2007). Deutschländer, 2013). The study area was eastern Heavy precipitation analyzes of Germany and Czech Germany and particularly the Free State of Saxony with Republic showed opposed heavy precipitation tenden- its exposed geographic position (influence of the up- cies for some seasons. Trömel and Schönwiese (2007) lands to typical weather conditions and increasing con- stated different spatial trends in the western and east- tinental climate from west to east). Times series of lo- ern part of Germany regarding the behavior of precip- cal measured daily precipitation sums are the bases for itation extremes. Previous studies concerning precipita- Station Mode Data (1917–2013) and Grid Mode Data tion extremes in Germany underrepresented the east part (1961–2015) as well. For Grid Mode Data interpolated of Germany using far too few or unrepresentative mea- time series with a resolution of 1×1 km are used to as- suring stations. This problem is visualized in Zolina sure a high spatial resolution. et al. (2008), leading to the question: What kind of ex- treme precipitation behavior can be found in the east of Germany? 2 Data and methods Extreme precipitation can be defined by amount of precipitation and frequency of precipitation events. Ex- The analyzes is based on daily precipitation data from treme precipitation events affect the environment, hu- meteorological stations in the Free State of Saxony, man life and the economy. Increasing numbers of heavy Germany. The occurrence frequency of heavy precip- precipitation events would have a great impact on their itation was evaluated using the index R95p, which vulnerability and would lead to damage. Consequently, thereby functions as peak over threshold approach. In the frequency of these events is an important parame- order to quantify the temporal development of the oc- ter. There are several ways to define the frequency of currence frequency over time the kernel occurrence precipitation extremes. A common way is the Climate rate estimation was applied to Station Mode Data as Change Indices introduced by the World Meteorologi- well as Grid Mode Data, covering the time period cal Organization (WMO) (Karl et al., 1999; Peter- 01.01.1917–31.12.2015. son et al., 2001; Peterson, 2005). For the percentile based Indices, the WMO considers the 95th and the 2.1 Study Area 99th percentile as the relevant percentiles. Groisman The Free State of Saxony is a landlocked Federal State et al. (2005) refers to heavy precipitation regarding the and lies in the east of Germany. The regional climate is 95th percentile and to extreme precipitation regarding characterized by a westerlies temperate climate and is the 99th percentile. influenced by Mediterranean and continental air masses. Precipitation has a high spatial variability. Due to The topographic relief of Saxony can be described from the complex and non-uniform changing spatial patterns north to south by low lands (plains) followed by down of extreme precipitation in Europe, studying regional lands and hill lands of the Ore Mountains (Fig. 1). Pre- heavy precipitation characteristics requires data in high cipitation is mainly determined by the location of the resolution. Highly important, due to analyzing precipi- mountains to the prevailing wind direction. Dominat- tation as an element with high variability, is the focus on ing is the west-southwest-wind leading to orographic temporal development. Trend analyzes of certain time lift on the windward side and foehn winds on the lee- periods strongly depend on start and end date. Analy- ward side of the northern edge of the Ore Mountains. zing different periods of one time series can result in Therefore, the highest precipitation of Saxony can be different trends in direction and magnitude. Therefore, found at the western slopes of the Ore Mountains. For methods with the ability to consider the temporal devel- this study, eight stations representing all landforms have opment are of special interest. been analyzed. Furthermore, the transects North–South The focus of this study is the temporal develop- and West–East are used to give a spatial insight. ment of the occurrence of heavy precipitation as an ex- treme weather event. Consequently, we have analyzed 2.2 Data basis the occurrence frequency of heavy precipitation with high temporal and spatial resolution for the seasons, the Local measured values of corrected daily precipita- growing seasons, the meteorological half-years and the tion totals were used as database. The position of calendar year separately. The summer months are partic- the measuring stations for Station Mode Data can be ularly important because of their tremendous effects on seen in Fig. 1. Station Mode Data cover the time agriculture. This study focused on moderate heavy pre- span 1917–2013 (Dresden-Klotzsche, Fichtelberg) and
Meteorol. Z. (Contrib. Atm. Sci.) A.S. Schaller et al: Occurrence frequency of heavy precipitation in Saxony 337 29, 2020 Figure 1: Elevation map of the Free State of Saxony with selected measuring stations and transects. 1951–2013 (Burgstadt, Görlitz, Jöhstadt, Lauenstein, the natural regions of Saxony. The transect West–East Leipzig-Holzhausen, Plauen). Due to station relocation, shows the course through the station Görlitz (Fig. 1). the timeseries of the stations Wahnsdorf (1917–1960) The eastwards increasing continental influence is of spe- and Dresden-Klotzsche (1961–2013) have been assem- cial interest. The transect north-south ends at the station bled. Grid Mode Data for the transects cover the time Fichtelberg in the Ore Mountains. It represents the max- span 1961–2015. Local measured values of corrected imal north-south expansion with the highest altitude dif- daily precipitation stations are the database for the Grid ference and represents all natural regions. Mode Data. At the IHM (Institute for Hydrology and The analyzes focused on the change of the occur- Meteorology) the local measured values (raw data of rence rate during the course of the year. Therefore, each the Deutscher Wetterdienst) have been made to homoge- time series has been analyzed for several time periods, nous and consistent data sets. Subsequently, these time namely the seasons: spring (March, April, May), sum- series were spatially interpolated (Indicator Kriging) for mer (June, July, August), autumn (September, October, each day using ReKis (Regionales Klimainformation- November), winter (December, January, February), for ssystem) with a resolution of 1×1 km. After registration growing season I (April, May, June) and growing sea- the data sets are available online at http://www.rekis. son II (July, August, September). Additionally, the me- org. A study by Kronenberg and Bernhofer (2015) teorological summer half-year (April-September), the ensured the plausibility of the data set. The extraction- meteorological winter half-year (October-March) and tool ExtRa (Extrahierung Rasterzellen) has been used the calendar year have been regarded. to extract time series for each grid point. As a result, time series for about 20.00 pseudostations, each repre- 2.3 Peak-Over-Threshold (POT) Approach/ senting a 1×1 km grid of Saxony, have been extracted. inhomogeneous poisson process Scatter plots comparing precipitation time series (raw and processed) of Station Mode Data and location corre- The main advantage of POT-Approaches is that only sponding grid ensure the quality of the used Grid Mode data of interest (the extremes) are included in the analy- Data. Data for the transects consist of stripes with 1 km zes. Quasi-continuous time series are reduced to days, width, extracted from the Grid Mode Data. The transects exceeding a defined threshold u. The remaining days of give the possibility to visualize possible gradients of the the time series can be seen as an inhomogeneous poisson heavy precipitation behavior and therefore to represent process, which is the condition for the kernel occurrence
338 A.S. Schaller et al: Occurrence frequency of heavy precipitation in Saxony Meteorol. Z. (Contrib. Atm. Sci.) 29, 2020 Figure 2: Precipitation total for Heavy Precipitation R95p event in mm for the Free State of Saxony for 1961–1990. rate estimation. The threshold u has to be set, requiring therefore shows distinct height dependence. The precip- the independence of two consecutively events and there- itation totals R95p decreases slightly from west to east. fore catching the real extremes and gaining a statistical acceptable sample size. For analyzing heavy precipita- 2.4 Kernel Occurrence Rate Estimation tion events, the index R95p has been proven to achieve suitable threshold values. The kernel occurrence rate estimation is a nonparametric Heavy precipitation events are defined by the in- kernel method developed by Diggle (1985) for smooth- dex R95p. The index R95p is based on defining days ing poisson process data. The occurrence rate is esti- with heavy precipitation according to statistical per- mated by centiles, rather than using arbitrary values, having the n t − T advantage of being geographically variable and catch- −1 i λ̂(t) = h K (2.1) ing the “real” precipitation extremes (Manton et al., i=1 h 2001). The index R95p is based on the Climate Change Indices established by the WMO (Karl et al., 1999; Pe- where K is the kernel function and h the bandwidth. The terson et al., 2001; Peterson, 2005), and is computed well known Epanechnikov-Kernel was used as followed. The 95th percentile values were calculated 3 of daily precipitation totals, and for each time series in- K(y) = (1 − yi ) (2.2) dividually, based on wet days with precipitation ≥ 1 mm 4 in the reference period 1961–1990. All time series are Choosing the bandwidth h is a crucial step (Efro- reduced to days reaching or exceeding that individually movich, 1999). There are several methods available to threshold value. All remaining days are considered as estimate the optimal bandwidth h. Heidenreich et al. days with heavy precipitation events. (2010) gave a detailed overview about commonly used Fig. 2 shows the spatial distribution of the precipita- methods. The method to estimate the bandwidth h has to tion totals R95p for Saxony. A heavy precipitation event be selected depending on the data set, whereby among is defined by exceeding the precipitation total R95p. The others the sample size has a decisive role (Heiden- mean precipitation totals for Saxony is about 17 mm. reich et al., 2010, 2013). For reasons of comparability a The totals distinctly increase from north to south, and unique bandwidth for all time series should be used. The
Meteorol. Z. (Contrib. Atm. Sci.) A.S. Schaller et al: Occurrence frequency of heavy precipitation in Saxony 339 29, 2020 primary aim was to determine a basic long term trend, 3.2 Temporal development in the growing therefore a pragmatic bandwidth of h = 2190 days = season 6 years has been determined. Hence, the bandwidth fo- cuses on periodicities above one decade and suppresses The temporal development has been determined for shorter periodicities. Due to boundary effects λ̂(t) is un- the growing seasons for all regarded stations altogether derestimated at the boundaries, thus λ̂(t) has to be disre- (Fig. 5). Especially since 1961 decreasing heavy precip- garded at the boundaries with the range of 0.5·h. In order itation frequencies can be found in growing season I and to reassure the bandwidth of 6 years, the bandwidth was increasing frequencies in growing season II. During pe- adapted for the different time periods. riods with high heavy precipitation frequency in grow- Information about the confidence intervals can be ing season II the heavy precipitation frequency was low achieved with bootstrap approach, which is necessary in growing season I at the same time. This tendency for unknown distributions. With the assumption that can be observed clearly for the 1950s, the 1980s and the number of events in a time interval is Poisson dis- very distinctive since the 1990s, forming a gap between tributed, the Bootstrap approach is not required (Sneth- heavy precipitation frequencies of the growing seasons. lage, 1999). Growing season II shows decreasing tendencies since The kernel occurrence rate estimation gives daily the 1970s. probabilities of heavy precipitation events. For the grow- The North–South transect (Fig. 6) and West–East ing seasons, the occurrence frequencies were converted transect (Fig. 7) give the possibility to visualize the to events per season for an easier understanding of the temporal development of heavy precipitation for cross- data. sections through Saxony to give a spatial view. Thereby, the x-axis of the transect Figures shows the temporal de- velopment from 1961–2015 of the occurrence frequency 3 Results of heavy precipitation and the y-axis the spatial course 3.1 Long-term temporal development of of each transect. The transect North–South of the y-axis heavy precipitation events R95p gives the course from north (upper part of the Figure) to south (lower part of the Figure). The transect West–East We found distinct patterns of the occurrence frequency shows the course from west (upper part of the Figure) of heavy precipitation during the course of the year. to east (lower part of the Figure). For example the lower The long-term temporal development has been ana- part of the Figure of the transect West–East shows the lyzed from 1917 to 2013 for the stations Dresden- temporal development of the Görlitz area. Klotzsche (Fig. 3) and Fichtelberg (Fig. 4). Addition- Overall both transects showed higher occurrence fre- ally, the stations Görlitz, Leipzig-Holzhausen, Plauen, quencies for growing season II than for growing sea- Jöhstadt, Burgstadt and Lauenstein from 1951 to 2013 son I (Fig. 6 and 7). In the transect North–South (Fig. 6) have been analyzed to cover all regional characteristics the number of heavy precipitation events decreased in (A1–S6). The following Figures focus on the temporal growing season I for the whole transect with the min- development, due to the method individual numbers of imal turning point around the turn of the millennium. single years cannot be overestimated. In the 1970s a weak north-south gradient can be de- The occurrence frequency showed only an incon- tected, which later mitigated and then vanished. Alto- siderable variance regarding the calendar year and gether the growing season II showed increasing occur- the meteorological half-years for all stations. Stations rence of heavy precipitation events. In the 1970s and with a higher altitude (Fichtelberg, Fig. 4A), Jöhstadt since the 1990s a north-south gradient can be identified. Fig. S6A) showed slightly higher occurrence frequen- The local maxima of the heavy precipitation occurrence cies for the calendar year. Heavy precipitation events were situated in the hills, highlands and the mountains generally occurred more often in the meteorological on the windward side of the Ore Mountains. Since the summer half-year, than in the meteorological winter 1990s overall decreasing occurrence of heavy precipi- half-year (Fig. 4A, 5A, S1A–S6A). Only the station tation in growing season I and concurrently increasing Fichtelberg showed a higher occurrence frequency in in growing season II have been found. In the West–East the meteorological winter half-year than in the summer transect (Fig. 7) the occurrence of heavy precipitation half-year during the 1940s, 1960s and since the 1990s decreased in growing season I from 1961–2015. The lo- (Fig. 4A). cal maxima occurred around the 1970s in the east part of The highest occurrence frequencies appeared in the the transect. Over time, this area showed the strongest summer, compared to spring, autumn and winter. In- decrease. Beginning in the middle of the 1960s till the creasing and decreasing tendencies can be found in all start of the 1970s a west-east gradient existed. At the seasons for several stations for the short time series millennium turn the gradient reversed its direction to an (A1–A6, B). The overall development of the long time east-west gradient. In growing season II increasing oc- series (Fig. 3B, 4B) relativizes theses tendencies. The currence of heavy precipitation events have been found. most distinct changes have been found during the sum- Local maxima occurred since the 1990s and were situ- mer months, especially the growing seasons for all sta- ated west of the river Mulde, at the Elbe river and at the tions (Fig. 3C, 4C, S1C–S6C). highlands of east part of the transect.
340 A.S. Schaller et al: Occurrence frequency of heavy precipitation in Saxony Meteorol. Z. (Contrib. Atm. Sci.) 29, 2020 Figure 3: Occurrence frequency of heavy precipitation R95p per day for Dresden-Klotzsche for the year and the meteorological half- years (A), the seasons (B) and the growing seasons (C) for 1917–2013. Figure 4: Occurrence frequency of heavy precipitation R95p per day for Fichtelberg for the year and the meteorological half-years (A), the seasons (B) and the growing seasons (C) for 1917–2013.
Meteorol. Z. (Contrib. Atm. Sci.) A.S. Schaller et al: Occurrence frequency of heavy precipitation in Saxony 341 29, 2020 Figure 5: Occurrence frequency of heavy precipitation R95p in days per season in the growing seasons for the stations Fichtelberg, Dresden- Klotzsche for 1917–2013 and Görlitz, Leipzig-Holzhausen, Plauen, Jöhstadt, Burgstadt, Lauenstein for 1951–2013. Figure 6: Occurrence frequency of heavy precipitation R95p in days per season for transect North–South for growing season I (A) and growing season II (B) for 1961–2015. 3.3 Periodicity Longer time intervals as meteorological half-years and the calendar year showed a weaker periodicity than the seasons and growing seasons. Furthermore, high All analyzed stations (Figs. 3–5, A1–A6) and tran- occurrence frequencies in summer and low occur- sects showed a distinct periodicity for the sub- rence frequencies in winter appeared simultaneously periods (Figs. 6–7), which was alternating between (Figs. 3B–4B, A1B, A2B, A3B–A6B). Such opposed high and low occurrence frequencies. Temporarily in- developments have been found distinctly in the growing creases and decreases of the occurrence frequency pro- seasons (Figs. 5–7) and the meteorological half-years ceeded equally (on their level) in several sub-periods. (Figs. 3A–4A, A1A–A6A) for the whole time span.
342 A.S. Schaller et al: Occurrence frequency of heavy precipitation in Saxony Meteorol. Z. (Contrib. Atm. Sci.) 29, 2020 Figure 7: Occurrence frequency of heavy precipitation R95p in days per season for transect West–East for growing season I (A) and growing season II (B) for 1961–2015. 4 Discussion served changes in growing season I and II were found to be more distinct than the results of spring and summer. The study revealed high variances in the development of Our findings revealed decreasing occurrence fre- the occurrence frequency of heavy precipitation events quencies in growing season I and increasing occurrence R95p for the seasons and growing seasons and less for frequencies in growing season II for several stations and the calendar year and the meteorological half-years. The the transects for 1951/1961–2015. This is in accordance intensity of the occurrence frequency of the seasons fol- with a study by Lupikasza et al. (2011). Heavy pre- lowed the precipitation pattern during the course of the cipitation frequencies were analyzed for 1951–2006 for year. The highest precipitation frequency was found in central-eastern Germany with decreasing spring trends summer associated to the thermally induced convective and increasing summer trends (Lupikasza et al., 2011). (heavy) precipitation behavior. In autumn the occurrence Therefore, the common months (April, May for spring, frequency of heavy precipitation events R95p decreased growing season I and July, August for summer, grow- and dropped in winter to the lowest level of the year. ing season II) showed the same trend direction. (Hänsel In spring the occurrence frequency increased and rose et al., 2009). to the highest level of the year in summer. This heavy Against the background of slight changes regarding precipitation behavior during the course of the year was the calendar year in our study, the observed changes in persistent but still changes were observed for the long- the growing seasons can be interpreted as shift during term temporal development of the occurrence frequency. the course of the year or shifting seasonality. Changes Basically, progressing on the same level of the occur- in the annual precipitation distribution have also been rence frequency, distinct variances have been observed found by Hänsel et al. (2009) for the period 1951–2006 in the seasons, especially in summer months. The ob- for Saxony. In their study, uniform negative trends for
Meteorol. Z. (Contrib. Atm. Sci.) A.S. Schaller et al: Occurrence frequency of heavy precipitation in Saxony 343 29, 2020 April to July and a shift of the maximum of the monthly Multidecadal Oscillation on extreme precipitation in Eu- precipitation from June/July to July/August were de- rope has been stated for all seasons (Casanueva et al., scribed. 2014). The East Atlantic Pattern influences summer pre- Increasing heavy precipitation in the summer sea- cipitation extremes (Casanueva et al., 2014). Both os- son may be explained with increasing convective pre- cillation patterns can also be a source for the periodicity cipitation due to temperature increases as follows: In- in our data. Additionally, the periodicity could also be creasing temperatures and heat waves have been de- explained by long-term-memory. However, further stud- scribed for East Germany for the summer season ies have to be conducted to reveal the source of the peri- by Hoy et al. (2017). With higher temperatures the odicity. intensity of extreme precipitation strongly increases As Dalelane and Deutschländer (2013) stated, (Lenderink and van Meijgaard, 2008; Haerter the nonparametric kernel estimation has only rarely been et al., 2010; Hardwick Jones et al., 2010). These in- used in climatology. They showed that this method is ef- creases exceed the atmosphere’s water-holding capacity fective for analyzing temperature extremes (Dalelane (Clausius-Clapeyron rate) (Lenderink and van Meij- and Deutschländer, 2013). Our analyzes showed, that gaard, 2008). Stratiform precipitation extremes in- kernel occurrence rate estimation is a suitable approach crease with temperature at approximately the Clausius- to visualize the temporal development of heavy precipi- Clapeyron rate, whereas convective precipitation ex- tation with a high temporal and spatial resolution. ceeds the Clausius-Clapeyron rate (Berg et al., 2013). Therefore, increasing temperatures may lead to increas- ing convective precipitation extremes. 5 Conclusion Our findings also revealed a distinct periodicity al- ternating between high and low occurrence frequen- The aim of this study was to show first results on spa- cies. The periodicity has been found in all stationary tial and temporal development of heavy precipitation in analyzes and in all analyzed sub-periods in different Saxony. The temporal development of the heavy precip- intenseness. Sub-periods with high heavy precipitation itation behavior and the influence of large scale drivers, frequency as summer and growing season II showed the namely atmospheric circulation patterns should be ana- periodicity more distinct than other sub-periods, which lyzed in further studies. Highly important in this regard was not fixed to specific years. Consecutive sub-periods is the influence of atmospheric circulation patterns on showed different tendencies of periodicity as well. All meso-scale characteristics of heavy precipitation (orog- findings shown for Saxony revealed a certain periodicity. raphy, wind exposure, precipitation shadow, direction of Therefore, the periodicity may be explained by a phe- mountain range and further more) with regard to the sea- nomenon of a higher scale. Such phenomenon may be sonality. The revealed changes in the heavy precipitation the sunspot cycle, the North Atlantic Oscillation (NAO) pattern during the summer months (shifting seasonal- or other longterm atmospheric oscillations and telecon- ity) should be investigated in further studies. Preferably, nection patterns. So far, studies have shown that changes analyzes should be performed on a larger scale with a in the NAO have direct impact on regional precipitation high resolution to achieve more information about the (Hurrell, 1995; Hurrell et al., 2003; Romano and extent of the changing patterns and gaining more infor- Preziosi, 2013). Furthermore, the impact of the NAO mation for agriculture and water supply. appears to apply particularly at specific levels of precipi- tation intensity, influencing the occurrence of heavy pre- cipitation events and their intensity (Stone et al., 2000). Markovic and Koch (2005) gave evidence for a tele- Appendencies connective influence of the NAO on the precipitation pattern of Germany. So far, the influence of Atlantic Figures A1–A6
344 A.S. Schaller et al: Occurrence frequency of heavy precipitation in Saxony Meteorol. Z. (Contrib. Atm. Sci.) 29, 2020 Figure A1: Occurrence frequency of heavy precipitation R95p per day for Leipzig-Holzhausen for the year and the meteorological half- years (A), the seasons (B) and the growing seasons (C) for 1951–2013. Figure A2: Occurrence frequency of heavy precipitation R95p per day for Görlitz for the year and the meteorological half-years (A), the seasons (B) and the growing seasons (C) for 1951–2013.
Meteorol. Z. (Contrib. Atm. Sci.) A.S. Schaller et al: Occurrence frequency of heavy precipitation in Saxony 345 29, 2020 Figure A3: Occurrence frequency of heavy precipitation R95p per day for Burgstadt for the year and the meteorological half-years (A), the seasons (B) and the growing seasons (C) for 1951–2013. Figure A4: Occurrence frequency of heavy precipitation R95p per day for Plauen for the year and the meteorological half-years (A), the seasons (B) and the growing seasons (C) for 1951–2013.
346 A.S. Schaller et al: Occurrence frequency of heavy precipitation in Saxony Meteorol. Z. (Contrib. Atm. Sci.) 29, 2020 Figure A5: Occurrence frequency of heavy precipitation R95p per day for Lauenstein for the year and the meteorological half-years (A), the seasons (B) and the growing seasons (C) for 1951–2013. Figure A6: Occurrence frequency of heavy precipitation R95p per day for Jöhstadt for the year and the meteorological half-years (A), the seasons (B) and the growing seasons (C) for 1951–2013.
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