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Trophic interactions and abiotic forcing in the aquatic ecosystems: a modeling approach

Dissertation

zur Erlangung des akademischen Grades

des Doktors der Naturwissenschaften (Dr. rer. nat.) an der

Universität Konstanz

Mathematisch-Naturwissenschaftliche Sektion Fachbereich Biologie

vorgelegt von Onur Kerimoglu

Tag der mündlichen Prüfung: 13.10.2011 Referent: Prof. Dr. Frank Peeters

Referent: Dr. Dietmar Straile

Konstanzer Online-Publikations-System (KOPS)

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Table of Contents

General Introduction...3

Background and Motivation ...3

Outline of the thesis...7

Chapter 1 Effects of a half a millennium winter on a deep lake – a shape of things to come?...9

Introduction ...10

Study site and methods...12

Results ...15

Discussion...23

Appendix A ...29

Chapter 2 Seasonal, inter-annual and long term variation in top-down vs. bottom-up regulation of primary production...31

Introduction ...32

Material and Methods...34

Results ...37

Discussion...42

Appendix A ...48

Appendix B...53

Chapter 3 Modeling ciliate dynamics in spring ...57

Introduction ...58

Material & Methods ...59

Results ...69

Discussion...74

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Chapter 4 Role of phytoplankton cell size on the competition for nutrients and light in

incompletely mixed systems...81

Introduction ...82

The Model ...84

Results ...89

Discussion...104

Appendix A ...109

Concluding Remarks and Perspectives ...113

Influence of winter meteorology on the limnological parameters...113

Regulation of phytoplankton and ciliate populations in Lake Constance ...114

Influence of cell size on phytoplankton resource competition...118

Zusammenfassung ...123

Summary...127

References ...129

Acknowledgements ...151

Record of achievement / Abgrenzung der Eigenleistung ...153

Publication List...155

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General Introduction

Background and Motivation

Role of modeling in the field of ecology

Ecological research focuses on the interactions of living organisms with each other and their surrounding abiotic environment. Understanding and knowledge gained by means of ecological research can serve in a wide array of contexts ranging from examination of selective processes of evolutionary dynamics to identification of operational tools for managing ecosystem services. Investigation of ecological interactions for any given task requires isolation of processes that are thought to be critically important and trading between generality, precision and realism in the form of simplifying assumptions (Levins 1966), as the enormous complexity implied by the presence of countless processes ranging from molecular to ecosystem scale cannot be contemplated altogether. Combination of those assumptions reflects a conceptual model, which can be very well in the form of a verbal statement or visualization in mind. However, a mathematical formalization improves the testability of the theories extracted from models by sharpening the description of assumptions and enabling a quantitative assessment of the consequences of their simultaneous operation (Murdoch et al. 2003).

While a match between theorized outcome and empirical observation, i.e., confirmation of a model, increases the probability that the conceptualization embodied by the model is not flawed and hence may bear a degree of predictive power (Reckhow and Chapra 1983), a mismatch necessarily indicates that either an important process has been neglected or the assumptions are not accurate (Oreskes et al. 1994).

Mathematical models have been in frequent usage in ecological research, most notably since the description of population dynamics of two interacting species by the use of differential equations in the early works of Lotka (1925) and Volterra (1931).

With regard to the trade-off between realism vs. generality of models, virtually two schools have emerged. The first school uses models mostly for deriving universal principles that would apply to many different ecosystems and interacting populations, such as the dynamic consequences of certain assumptions for describing functional response of organisms to changing conditions (e.g., Oaten and Murdoch 1975; Franks et al. 1986; Gentleman and Neuheimer 2008; Fenton et al. 2010) or the effects of particular trophic configurations on the community and population persistence (e.g., May 1973; Pimm et al. 1991; Stouffer and Bascompte 2010). The second school tends

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be more specific in their choice of model components and process descriptions in order to obtain accurate representations of particular ecosystems which usually bear significance with respect to delivery of public services (e.g., Jorgensen et al. 1986; Stow et al. 2003; Bruce et al. 2006; Oguz et al. 2008) or with respect to global-scale nutrient and carbon cycling (e.g., Fasham et al. 1990; Oschlies and Garcon 1998; Gruber 2008;

Buitenhuis et al. 2010). Following either approach, ecological modeling has become increasingly integrated into the body of research aiming to understanding how nature works.

Planktonic food webs

Ecological research requires monitoring and experimental manipulation of nature at scales ranging from individuals to whole ecosystems, depending on the research aim.

Planktonic organisms offer a number of advantages when the populations and higher levels of complexity are in consideration. Plankton can be easily maintained and manipulated in micro- or mesocosms that requires relatively little space and simple settings. Moreover, their fast turn-over rates allow rapid establishment of dynamic consequences that require multiple generations to develop, such as resolution of resource competition (e.g., Rothhaupt 1996), emergence of cyclic or chaotic dynamics (e.g., Fussmann et al. 2000; Beninca et al. 2008), and even evolutionary adaptations (e.g., Yoshida et al. 2003). Finally, their field monitoring is relatively easier due to the lower degree of heterogeneity in comparison to terrestrial systems, which are characterized by patchy distribution of highly mobile organisms. Based on these considerations, planktonic food webs can be thought of as model ecosystems facilitating derivation of overarching ecological principles (Sommer 1989; Rothhaupt 2000).

Besides providing an ideal niche for basic research, planktonic food webs are essential components of ecosystems that are both critical for human life and are exposed to increasing levels of stresses due to anthropogenic activity. For instance, the term

‘cultural eutrophication’ typically involves enrichment of water bodies with nutrient compounds incorporated by sewage discharges and agricultural run-off, which consequently lead to alteration of productivity and community patterns in the receiving ecosystems and cause a number of problems ranging from reduction of esthetic qualities to fatal blooms of harmful algae (Vollenweider 1968; Smayda 1997; Vitousek et al.

1997; Smith and Schindler 2009). While reduction of nutrient loading generally offers a viable solution (Jeppesen et al. 2005), alteration of ecosystem productivity in either direction is associated with many intriguing ecological concepts such as role of biotic

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regulation (e.g., Shapiro et al. 1975; Persson et al. 1988; Carpenter et al. 2001;

Hillebrand et al. 2007), dynamic stability of populations (e.g., Rosenzweig 1971; Moore et al. 1993; Abrams and Roth 1994; Diehl 2007) and resilience and alternative stable states of ecosystems (e.g., May 1977; Scheffer et al. 1993; Folke et al. 2004), which all constitute active areas of current research (Duarte et al. 2009; Smith and Schindler 2009). Human interference in biogeochemical cycles, especially the nitrogen-cycle, is considered to be one of the three Earth-system processes where the ‘planetary boundaries’ have been crossed, potentially degrading the habitability on Earth (Rockstrom et al. 2009).

Another pressing issue is the global warming phenomena. In the oceans, there is approximately 50 times more inorganic carbon than in the ocean. By depositing an estimated 118 ± 18 Pg C, the ocean has constituted a major sink for the 244 ± 20 Pg C of anthropogenic CO2 emissions over the past 200 years, in the absence of which, the atmospheric CO2 concentrations would be 55 ppm higher than the current observed levels of ~380 ppm (Sabine et al. 2004). However, whether the CO2 deposition efficiency will increase or decrease with further warming is currently under extensive debate (e.g., Sarmiento and LeQuere 1996; Canadell et al. 2007; Gloor et al. 2010).

Although the potential variations in the oceanic CO2 uptake rates driven by physical processes such as changes in CO2 solubility, vertical advection and mixing can be predicted with relatively high certainty, those to be driven by the biotic response remains to be highly unpredictable with the current level of understanding (Sarmiento et al. 1998; Falkowski and Oliver 2007). Plankton communities strongly respond to selective pressures mediated by the physical environment (e.g., Rodriguez et al. 2001;

Li 2002). Improving our understanding and predictive capabilities on the global warming phenomena thus requires integration of some fundamental ecological concepts into the biogeochemical models as recently exemplified by Dutkiewicz et al. (2009).

Life in a deep water body

Light is one of the essential requirements for primary production, and consequently for the production at higher trophic levels. In a water column, light availability decreases across depth, due to the absorption by the suspended particles of organic and inorganic origin. Mineral nutrients, on the other hand, are typically supplied from the bottom of the water column where they are deposited within sediments in particulate form and re- mineralized by microbial processes (Wetzel 2001; Antia 2005). Therefore, specific production rates throughout the water column can vary dramatically (Klausmeier and

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Litchman 2001), as determined by the interaction between the growth kinetics of species and opposing gradients of light and mineral nutrients. However, vertical distribution of phytoplankton biomass does not depend on the net specific production rates alone, as the produced biomass is redistributed within the water column at rates determined by the turbulent mixing intensity (Huisman et al. 1999a), influencing in turn, the production and resource gradients. This system, in which the interaction between dynamic components evolve through feedback loops, constitutes a mathematically challenging problem as it is intractable by analytical methods and requires numerical procedures to tackle (Ryabov and Blasius 2011).

Within the last few decades, considerable progress has been made in our theoretical understanding on the effects of dispersal rates on population and community dynamics with the help of simplifying assumptions on the nature of mixing intensity, mainly by ignoring the temporal and spatial variability (e.g., Huisman et al. 1999a;

Diehl 2002; Jager et al. 2010; Ryabov and Blasius 2011). Contrastingly, in studies focusing on operational needs, e.g., prediction of the annual cycle of material cycling and plankton dynamics in particular systems, the notion of temporal and spatial variability in the mixing regime has been commonplace since Sverdrup’s (1953) critical depth hypothesis, according to which, the seasonal spring bloom development is enabled by the depth of the intensely mixed surface layer to retreat above a critical depth as the water column becomes stratified. Earlier studies mimicked such spatio- temporal transitions in the mixing regime by certain simplifications such as assuming a variation in the dilution rate of the non-motile entities over the season (e.g., Evans and Parslow 1985; Fasham et al. 1990) or by forcing their biological models by turbulent diffusion coefficients estimated from measured tracer (e.g., temperature) gradients along a water column which are usually found in a coarse spatio-temporal resolution (e.g., Tett et al. 1986; Radach and Moll 1993). Progresses in computational technologies, hence, their accessibility over the last two decades allowed ecosystem modelers to employ computationally demanding hydro-dynamical models to predict the spatio- temporal distribution of turbulent diffusion coefficients at a high resolution and without the need for a priori knowledge on tracer gradients (e.g., Stramska and Dickey 1993;

Sharples and Tett 1994; Oguz et al. 1996; Oschlies and Garcon 1998; Tian et al. 2003;

Bruce et al. 2006; Salihoglu et al. 2008; Hofmann et al. 2011).

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Outline of the thesis

This thesis focuses on various aspects of plankton dynamics in deep water bodies and makes extensive use of different modeling strategies. In chapter 1, the extreme limnological conditions regarding biotic and abiotic variables observed in Lake Constance, following an anomalously warm winter in 2006/07 were analyzed on a mechanistic basis, and the possibility to infer potential consequences of future warming is evaluated. A hydro-dynamical model was used to check the role of particular sequencing of meteorological conditions on the occurrence of observed conditions, as well as those to be anticipated. In chapter 2, the changes in the regulation of phytoplankton production across 3 decades of oligotrophication in Lake Constance were investigated. A novel technique, combining a hydro-dynamically forced plankton model, long-term data and an experimental concept frequently used to measure interaction strengths in nature was developed to quantify the limitation of phytoplankton growth imposed by different factors on a daily basis. Quantification of impacts at a high temporal resolution allowed assessment of variations on seasonal scales and on inter- annual scales, and their interaction. In chapter 3, the ciliates, which are recognized to be main source of herbivory during the early algal growth period in seasonally forced aquatic systems, were in focus. Different formulations accounting for their losses were implemented in a hydro-dynamically forced plankton model and the plausibility of mechanisms accounted for by these formulations for the regulation of ciliates

was evaluated based on the success of these different model formulations in reproducing the 16 years of measured biomasses of algae and ciliates in Lake Constance. In chapter 4, role of cell size on algal competitive abilities in a heterogeneous environment was elaborated. A vertically resolved reaction-advection- diffusion model and a separate consideration of nutrient uptake and assimilation processes enabled elucidation of a novel competition mechanism whereby, despite their lower growth and uptake rates, large species can gain competitive dominance depending on the upwards supply rate of cells with greater amounts of surplus nutrients at the deeper layers. System parameters such as the mixing intensity, along with its vertical and temporal variations, nutrient concentrations at the bottom and background turbidity are shown to affect the competitive outcome by changing the nutrient and light gradients across the water column.

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Chapter 1 Effects of a half a millennium winter on a deep lake – a shape of things to come?

Dietmar Straile, Onur Kerimoglu, Frank Peeters, Marc C. Jochimsen, Reiner Kümmerlin, Karsten Rinke, Karl-Otto Rothhaupt

Abstract

Analyses of the effects of extreme climate periods have been used as a tool to predict ecosystem functioning and processes in a warmer world. The winter half-year 2006/2007 (w06/07) has been extremely warm and was estimated to be a half-a- millennium event in central Europe. Here we analyse the consequences of w06/07 for the temperatures, mixing dynamics, phenologies and population developments of algae and daphnids (thereafter w06/07 limnology) in a deep central European lake and investigate to what extent analysis of w06/07 limnology can really be used as a predictive tool regarding future warming. Different approaches were used to put the observations during w06/07 into context: 1) a comparison of w06/07 limnology with long-term data, 2) a comparison of w06/07 limnology with that of the preceding year, and 3) modelling of temperature and mixing dynamics using numerical experiments.

These analyses revealed that w06/07 limnology in Lake Constance was indeed very special as the lake did not mix below 60m depth throughout winter. Because of this, anomalies of variables associated strongly with mixing behaviour, e.g. Schmidt stability and a measure for phosphorus upward mixing during winter exceeded several standard deviations the long-term mean of these variables. However, our modelling results suggest that this extreme hydrodynamical behaviour was only partially due to w06/07 meteorology per se, but depended also strongly on the large difference in air temperature to the previous cold winter which resulted in complete mixing and considerable cooling of the water column. Furthermore, modelling results demonstrated that with respect to absolute water temperatures, the model “w06/07” most likely underestimates the increase in water temperature in a warmer world as one warm winter is not sufficient to rise water temperatures in a deep lake up to those expected under a future climate.

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Keywords: climate change, Daphnia, Lake Constance, mixing, phenology, phytoplankton bloom, plankton succession, winter sequence

Introduction

Climate change is expected to strongly alter the functioning of ecosystems. However, it is difficult to predict in necessary detail the consequences of warming for a specific ecosystem. One possibility to learn about the effects of warming is to study the effects of extreme weather periods. For example the exceptional heat wave in central Europe during summer 2003 (Schär et al. 2004) was analysed to provide insights about temperature gradients, stratification strengths and oxygen dynamics in a warmer world (Jankowski et al. 2006). The 2003 heat wave not only caused changes in the abiotic conditions in freshwater systems, but was also associated with significant changes in the dynamics of aquatic populations and communities, e.g., exceptional blooms of cyanobacteria in lakes (Johnk et al. 2008) and dinoflagellates in the ocean (Gomez and Souissi 2008), declines in benthic invertebrate species richness (Mouthon and Daufresne 2006), as well as severe mass mortality events of fish (BUWAL et al. 2004;

Wegner et al. 2008) and marine benthic invertebrates (Garrabou et al. 2009). Several of these studies suggested that the ecological consequences of this extreme summer may indeed be expected in a warmer climate.

Besides summer also winter meteorological conditions have been shown to have strong and long-lasting effects on the ecology of lakes but also of other ecosystems (Straile and Stenseth 2007). Winter conditions can influence survival rates and hence will affect the dispersal potential of invasive species (Thieltges et al. 2004) and/or the size of the “founder population” of native species for the next growing season (Tonn and Paszkowski 1986; Danylchuk and Tonn 2006). Finally, in many lakes the end of cold winter conditions which are either associated with ice cover or winter mixis finally releases phytoplankton from light limitation and initiates the phytoplankton spring bloom (Weyhenmeyer et al. 1999; Peeters et al. 2007b). The importance of winter and early spring conditions for ecological processes actually explains to a large extent the success of the winter index of the North Atlantic Oscillation as a predictor of ecological state variables and processes (Ottersen et al. 2001; Drinkwater et al. 2003; Mysterud et al. 2003; Straile et al. 2003b; Straile and Stenseth 2007). Finally, since warming in the northern hemisphere is expected to be strongest in winter (IPCC 2007b), analyzing the

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consequences of an extreme winter for the development of aquatic systems is important for understanding the possible effects of climate warming on plankton succession.

The winter 2006/2007 (w06/07) was an extreme weather period for Central Europe likely to be the warmest winter during the last 500 years (Luterbacher et al.

2007). Furthermore, the temperatures observed during w06/07 were within the temperature ranges expected with climate change at the end of this century (Beniston 2007). A comparison with climate predictions based on the IPCC SRES A2 climate scenario, which assumes no reduction in CO2 emissions during this century, suggests that temperatures observed during w06/07 would occur at least during 1 year within a 2 year time period by 2100 (Beniston 2007). As a consequence of the extreme meteorological conditions, strong phenological anomalies have been observed after w06/07 in terrestrial ecosystems (Luterbacher et al. 2007; Maignan et al. 2008;

Rutishauser et al. 2008).

Here we investigate the physicochemical and biological response of a large and deep lake to the extreme conditions of w06/07. Thereby, we use four approaches: 1) we relate monthly means of several state variables during w06/07 with the monthly long- term means of these state variables and calculate how strongly the observations from w06/07 deviate from long-term means. 2) We compare depth resolved data on water temperature, chlorophyll concentration as well Daphnia abundance measured at a high temporal and water-depth resolution measured in w06/07 with data from the preceding winter 2005/2006 (w05/06). 3) We use a hydrodynamical model to simulate the water temperature and compare these simulations with simulations assuming long-term persistence of w05/06 and w06/07 meteorological conditions, respectively. 4) Based on data analysis and numerical experiments we investigate to which extent the observed effects can be explained by the w06/07 on its own and/or by the sequence of w06/07 following w05/06. Using these four approaches, we do not only discuss the ecological consequences of extreme weather conditions in winter on lake ecosystems but also address the question, which conclusions derived from the observations of an extreme year in fact may serve as a projection of the limnology of deep lakes in a warmer climate.

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Study site and methods

Upper Lake Constance is a large (472 km2), deep (zmax = 252m) and warm-monomictic lake at the northern fringe of the Alps. After the 1950s increased phosphorus inflow into the lake resulted in strong eutrophication, which peaked in the 1970/80s reaching total phosphorus concentrations around 80 µg L-1. Since then phosphorus inflows were strongly reduced and total phosphorus concentrations in the lake have returned now to typical levels (< 10 µg L-1) before eutrophication. The response of the lake to changes in phosphorus inflows is well documented (see monograph by Bauerle and Gaedke 1998).

Likewise, the response of the lake to climate variability was analysed in some detail in recent years (Straile 2000; Straile et al. 2003a; Peeters et al. 2007a; Peeters et al.

2007b). Model simulations predict strong increases in epilimnetic as well as hypolimnetic water temperatures and an earlier timing of the phytoplankton spring bloom with warming (Peeters et al. 2007a).

The analysis of w06/07 anomalies was based on water properties and water sample concentrations from two sites in Lake Constance (Fig. 1.1): site C (water temperature, Schmidt stability (Schmidt 1928), soluble reactive phosphorus, O2

concentration, phytoplankton biovolume) at the center of Upper Lake Constance (water depth: 250 m), site BM (chlorophyll a concentration, Daphnia abundance) within the Überlinger See, a fjordlike appendix of Upper Lake Constance (water depth: 140 m).

Seasonal development of water temperatures and stratification patterns at the two sites are very similar as it is possible to very well simulate water temperature dynamics at site BM with a hydrodynamical model calibrated with data from site C (Peeters et al.

2007b). Air temperatures were measured at Konstanz (MET in Fig. 1.1) and provided by the German National Meteorological Service (DWD). From time series of monthly data or monthly averages of data sampled with higher temporal resolution we calculated anomalies for the w06/07 values, e.g. determined how many standard deviations the w06/07 values differed from the long-term mean in the respective months.

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Figure 1.1 Location of the two sampling sites (C, BM) within Lake Constance and of the meteorological station (MET).

The long-term data sets used to calculate the w06/07 anomalies differed in length and dated back to 1964 (water temperature and O2 concentration), 1967 (soluble reactive phosphorus concentration), 1973 (air temperature), 1976 (phytoplankton biovolume), 1979 (Daphnia abundance, but no data in 1983), and 1980 (chlorophyll a concentration, but no data in second half of 1983 and in 1984, 1985). To account for the strong changes in soluble reactive phosphorus (SRP) during eutrophication and oligotrophication of Lake Constance, for each sampling date and depth, we calculated the relative SRP concentration as the ratio between the depth specific SRP and the maximum SRP value of each date. The average relative SRP concentration within the upper 20 m of the water column (relSRP) was then used as a measure of mixing (Straile et al. 2003a). RelSRP values approaching one indicate homogeneous distribution of SRP throughout the water column and hence the presence of deep-water mixing. We then use the maximum relSRP attained within a specific winter (relSRPmax) to quantify the overall mixing intensity of this winter. As the length of the reference period differed between variables, the anomalies are not comparable in a strict sense. However, all the results presented are robust against using different reference periods, e.g. for all variables the period 1980 – 2006. Further details about sampling methods and sampling frequencies of these long-term data sets can be found in Häse et al. (1998), Kümmerlin (1998), Straile & Geller (1998) and Straile et al. (2003a).

Samples for the comparison between w05/06 and w06/07 were taken at site BM (Fig. 1.1). Water temperatures were measured at a high temporal resolution with a thermistor chain (17 thermistors within the upper 20 m of the water column, 16

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thermistors from 20 to 135 m depth), chlorophyll a samples were taken at distinct depths, i.e., 0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 12.5, 15, 17.5, 20, 22.5, 25, 30, 40, 50 and 60m.

Daphnia was sampled with a Clarke-Bumpus sampler with a vertical haul from 140 m depth.

Finally, we used a hydrodynamical model, SIMSTRAT (Goudsmit et al. 2002;

Peeters et al. 2007b) to evaluate to what extent the physical conditions observed in w06/07 are representative of those to be anticipated with future warming. The model SIMSTRAT simulates vertical turbulent diffusion on the basis of a one dimensional k-ε model that is extended by an energy compartment mimicking the energy flux from wind energy to seiche energy and from seiche energy to turbulent kinetic energy and dissipation (Goudsmit et al. 2002; Peeters et al. 2007b). SIMSTRAT calculates energy fluxes across the air/water interface from hourly measurements of wind speed, wind direction, air temperature, solar radiation, relative humidity and cloud cover. Details on the preparation of the meteorological data for use in the model – e.g., on estimating the wind speed over open water and the solar radiation penetrating the lake surface – are given elsewhere (Peeters et al. 2007b). Based on the energy fluxes across the air/water interface, SIMSTRAT estimates the turbulent kinetic energy, k, and the rate of turbulent kinetic energy dissipation, ε, at different depths within the lake. Turbulent diffusivity Kz

is estimated from the proportionality Kz~ k2/ε. With respect to the energy fluxes into the seiche compartment of SIMSTRAT, we have slightly modified the original model by assuming that the energy flux from wind to seiche energy increases linearly with the Schmidt stability. Water temperature and density profiles are calculated based on the heat flux across the air-water interface, the short-wave radiation penetrating into the lake and the vertical profile of Kz. Heat fluxes due to long and short wave radiation, evaporation and conduction are simulated using empirical relationships. Light attenuation coefficients were based on measured chlorophyll concentrations.

In SIMSTRAT, which uses an implicit algorithm to solve the model equations, an internal vertical spatial resolution of 0.25 m and a time step of 10 min were used. The model was calibrated by adjusting 7 constant model parameters to minimise the root mean square error between simulated and measured water temperatures during the 6-yr time period from 1979 to 1984. Simulations were run continuously to predict vertical profiles of temperature and turbulent diffusivity. In this study we first tested if the model was able to simulate the temperature development during the two winters, i.e., w05/06 and w06/07. Then we used the model to conduct several numerical experiments

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1) to analyse the importance of summer and autumn 2006 meteorology for w06/07 dynamics (in the following exchange simulations), 2) to model the equilibrium winter dynamics which would be reached after forcing the model repeatedly with an annual meteorology file including w06/07 or w05/06 meteorology, 3) to test whether the extreme w06/07 limnology was caused solely by the meteorology of w06/07 or resulted from the specific sequence of winters, e.g., the cold w05/06 preceding the warm w06/07. In the first experiment (thereafter exchange simulations), we exchanged the meteorology of certain time periods from summer and autumn 2006 with meteorology from corresponding time periods from summer and autumn 2005 in order to test which part of summer/autumn 2006 meteorology was crucial for w06/07 water temperature dynamics. In the 2nd experiment (equilibrium simulations) we estimated the equilibrium winter dynamics of w06/07 by forcing the model repeatedly with the meteorology from 1 September 2006- 31 August 2007, i.e. considering a repeated sequence of a single year that includes w06/07 until the equilibrium seasonal courses of water temperatures were obtained (eq06/07). Thereafter the model was repeatedly forced with the meteorology between 1 September 2005-31 August 2006 to study the hypothetical equilibrium seasonal water temperatures of this time period that includes w05/06 (eq05/06). In the third experiment (sequence simulations) we generated 27 artificial meteorology files all starting from 1 January 1979 but continuing until 31 October 1979 (artificial meteorology 1), 31 October 1980 (artificial meteorology 2), … , and respectively, 31 October 2005 (artificial meteorology 27). Each of these 27 meteorologies were extended with an additional winter: the meteorology from 1 November 2006 – 31 March 2007. We used each of these artificial meteorologies to force the hydrodynamic model and calculated the winter mixing duration during the last winter, i.e., that forced with w06/07 meteorology. These mixing durations were then compared with the mixing duration during the winters obtained from the standard simulation forced with unmodified meteorology files. The duration of the winter mixing period was estimated as the number of days with a maximum temperature difference within the entire water column of less than a threshold of 0.25 °C.

Results

W06/07 anomalies - Air temperatures at Konstanz during w06/07 but also in spring 2007 were exceptionally warm (Fig. 1.2) resulting in exceptionally large water temperature anomalies from November to March during w06/07. As a consequence of

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high surface temperatures, Schmidt stability anomalies ≥ 2, i.e. a deviation from the mean ≥ 2 standard deviations, were observed from December towards April, with anomalies even exceeding 4 in February and March. This reflects the fact that w06/07 was the first winter within a >40 year time series with no mixing below 60 m water depth. These stability anomalies were associated with strong negative upper water column relSRP anomalies around 3 from January through March. In contrast, no large deep water O2 anomalies were observed. Also, anomalies of chlorophyll a, phytoplankton biovolume and Daphnia abundance were small compared to e.g., anomalies of water temperature, Schmidt stability and relSRP. Although they were measured at two different sampling sites (BM and C in Fig. 1.1, respectively), chlorophyll a and phytoplankton biovolume anomalies were similar, which further supports that at the scale of this investigation the differences between the two sampling sites can be considered as negligible.

W06/07 compared to w05/06 – W06/07 was preceded by the rather cold w05/06 ranking third coldest in our time series based on average winter air temperatures and seventh coldest based on upper water layer (0-20 m) temperatures. As w06/07 was clearly the warmest winter in both, air and water temperature records, there was a striking temperature difference between the two years, which needs to be taken into account when analysing the ecological implications of w06/07 (see below). As a consequence of low air temperatures, w05/06 was characterised by a long period of homeothermy throughout the water column lasting 3 months, i.e., from January until the end of March and consequently a considerable cooling of hypolimnetic water temperatures (Fig. 1.3).

In contrast, during w06/07 no period of homeothermy was observed and mixing during February and March did not extend to depths below the upper 60 m of the water column. The years differed also markedly in the onset of surface warming which was advanced in 2007 as compared to 2006 by more than one month (Fig. 1.3 and Fig. 1.4).

As a consequence of differences in mixing regime, chlorophyll a dynamics also differed strongly between years (Fig. 1.3 and Fig. 1.4). Low chlorophyll a concentrations (0.2 µg L-1) were observed especially during January and February 2006, whereas the lack of complete mixing resulted in elevated upper-water layer chlorophyll a concentration throughout w06/07. Furthermore, in February and March elevated chlorophyll a concentration extended down to a depth of approximately 50 m, i.e. the depth of the mixed layer (Fig. 1.3). Bloom development was strongly advanced in 2007 as compared

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to 2006, with an early bloom developing already in mid March, whereas it took until the end of April until similar surface concentration were obtained in 2006. However bloom onset in 2007 (13 March) defined as the first sampling date where chlorophyll a concentrations surpassed 3 µg L-1 (Peeters et al., 2007a) did not show strong anomalies as it was only 1.2 standard deviations earlier than the average bloom onset in the long-term record (1st of April ± 16.9 days).

Figure 1.2 Temporal developments of w06/07 state variables as compared to the long- term temporal development. White circles represent the long-term mean, the grey area ± 1 standard deviation around the mean; the black circles represent the values for w06/07.

Numbers indicate how many standard deviations w06/07 values deviate from the long- term means in the respective months. The following state variables are shown: AT: air temperature, WT: water temperature [0 – 20 m depth], S: Schmidt stability, O2: oxygen concentration in deep water [200 – 250m depth], relSRP: relative SRP concentrations in upper water layers [0-20m depth], chlorophyll a and phytoplankton biovolume concentrations [0-20 m depth], Daphnia abundance [1000 individuals m-2 integrated over a depth of 140 m].

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Figure 1.3 Comparison of water temperature (left panel) and chlorophyll a dynamics (right panel) during w05/06 and w06/07 at station BM. No water temperature data for November 2006 and no chlorophyll a data below 60 m water depth are available.

Daphnia dynamics did not differ substantially during the winter period up to the end of March in w05/06 and w06/07 (Fig. 1.4), despite the much higher chlorophyll a concentrations in w06/07 than in w05/06. However, the timing of minimum (18 April 2006 versus 27 March 2007: 22 days) and maximum (30 May 2006 versus 2 May 2007:

28 days) Daphnia abundances was considerably earlier in 2007 as compared to 2006 resulting in a temporal forward shift of spring growth of Daphnia populations. In both years the timing of the minimum was at the last sampling date before water temperatures finally rose above 6°C (24April 2006 versus 31March 2007: 24 days).

However, in contrast to the only slight forward shift of the onset of the algal bloom, the timing of the Daphnia maximum in 2007 was the earliest one in a 28 year time series, 2.2 standard deviations earlier than the long-term average timing during 1979-2006 (9th of June ± 16.9 days). Note also, that both, Daphnia minimum and Daphnia maximum abundances were rather similar in both years.

Modelling - The hydrodynamical model simulating water temperatures over a 29 year time period starting in 1979 adequately predicted the key differences in thermal stratification observed during the time periods w05/06 and w06/07: the long period of homeothermy of w05/06 as compared to incomplete mixing during w06/07 as well as the advanced onset of the stratification in 2007 (Fig. 1.5). However, the depth of the mixed layer in w06/07 was approximately 40 m deeper in the model as compared to the observed values.

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Figure 1.4 Development of a) water temperature, b) chlorophyll a and c,d) Daphnia abundances during w05/06 (continuous line, filled circles) as compared to w06/07 (hatched line, open circles) at site BM. Water temperatures and chlorophyll a concentrations represent upper water column (0-20m) averages, whereas Daphnia abundances are integrated over the whole water column (0-140m). Daphnia abundances are presented on arithmetic and logarithmic scales as the two different scales are necessary to present both winter dynamics as well as the spring growth phase.

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Figure 1.5 A hydrodynamical simulation experiment on the short versus long-term effects of winter conditions. Upper panel: 1) Simulated water temperatures during the winters of 2005/06 and 2006/07. Middle panel: Simulated equilibrium water temperatures for the two winters which would have been obtained after repeatedly using the meteorological conditions between 01 September 2005-31 August 2006 (eq05/06) and 01 September 2006-31 August 2007 (eq06/07), respectively (equilibrium simulations). Lower panel: Long-term development of upper (0-20m, red line) and lower (20-250m, blue line) water column temperatures assuming that w06/07 would be the norm until Sep 2020 and w05/06 from Sep 2020 onwards. The simulations were driven with the following meteorology: between 01 September 2007-31 August 2020, the meteorology of 01 September 2006-31 August 2007 was repeated. Between 01 September 2020-31 December 2035, the meteorology of 01 September 2005-31 August 2006 was repeated.

Long-term simulation with the meteorology of w05/06 (eq05/06) did not result into strong differences as compared to the simulation of w05/06: deep-water temperatures were slightly reduced and the period of full mixing started approximately half-month earlier. In contrast, long-term simulation with the meteorology of w06/07 revealed striking differences as compared to the simulations for w06/07: water temperatures were strongly elevated and approached 7 °C when homeothermy was established. In this state, the warming of deeper water layers allowed complete mixing

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in the eq06/07 simulations. Interestingly, hydrodynamical modelling suggests that it would take five w06/07 winters to reach the new equilibrium shown in Fig. 1.5.

Likewise five w05/06 winters would be needed to cool down the lake again to the situation prior to w06/07. Note also, that the equilibrium seasonal water temperature dynamics of the two periods 01 September 2005 – 31 August2006 versus 01 September 2006 – 31 August2007 do hardly differ regarding their maximum temperatures obtained during summer, but strongly in the winter minimum temperatures. This suggests that the crucial difference in meteorological conditions between these two periods is during the winter half year. This conclusion was further supported by our exchange simulations.

These simulation experiments suggested that the hydrodynamical key characteristics of w06/07, i.e., no deep-water mixing and elevated water temperatures depend on the meteorology from November 2006 onwards: An exchange of the meteorology from 01 June 2006 - 31 October 2006 with 01 June 2005 - 31 October 2005 did hardly change the simulations for w06/07, whereas an exchange of November 2006 with November 2005 resulted in whole water column homeothermy (see supporting online information).

As mixing dynamics showed the strongest anomalies we examined the relationship between winter air temperatures and mixing strength expressed as relSRPmax in detail. The relationship between average (November - March) winter air temperatures (AT) and winter mixing was nonlinear (Fig. 1.6a). A piece-wise regression suggests a change point at an AT of 2.3 ± 0.6°C (SE). Below this threshold no relationship between relSRPmax and AT was apparent (r = 0.12, ns, n = 10), whereas above the threshold a strong inverse relationship existed (r = -0.64, p < 0.001, n = 16).

However, the residuals of relSRPmax from the piece-wise regression model in years with AT below 2.3°C were related to the AT of the previous year (Fig. 1.6b, r = 0.6, p <

0.09, n =9) and to the deep-water temperatures in November, i.e. at the start of the respective winter (Fig. 1.6c, r = 0.64, p < 0.05, n = 10). Residual relSRPmax above 2.3°C was neither related to AT of the previous winter (Fig. 1.6d) nor to hypolimnetic water temperatures in November (Fig. 1.6e).

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Figure 1.6 a) Relationship of winter mixing intensity expressed as the maximum relative SRP concentration in a specific winter to the average (November - March) air temperature (AT). The fit is a piecewise linear regression which suggests a change point at AT = 2.3 (± 0.65 SE) °C. The regression equations are y = 71.1 + 4.7 * x, and y = 131.5 -20.9 * x below and above the change point, respectively. Overall model fit is F4,32 = 8.47, p < 0.0003. b, c) relationships between the residuals of the piecewise regression model below the change point with AT from the preceding winter, and average November deep-water temperatures (below 100 m), respectively, d, e) relationships between the residuals of the piecewise regression model above the change point with AT from the preceding winter, and November deep-water temperatures, respectively. W06/07 is indicated as an open circle and is included in statistical analyses.

Average mixing duration in standard simulations was 62.4 ± 3.7 (SE) days (Fig.

1.7). Modelled mixing duration in the standard simulation was significantly related to data derived mixing strength as estimated from relSRPmax (r = 0.6, p < 0.001, n = 28).

W06/07 meteorology in sequence simulations resulted in a mixing duration of 33.8 ± 3.4 (SE) days, i.e. lead to a reduction by 28.6 ± 4.4 (SE) days. W06/07 meteorology would have resulted in 5 sequences with zero mixing, whereas in our standard

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simulations only during the sequence w05/06 Æ w06/07 zero mixing was predicted. On the other hand, sequence simulations suggest that in 23 out of 28 sequences (82 %) w06/07 on its own would not have resulted in a lack of mixing. This exemplifies the importance of the sequence of winter meteorology for the extreme mixing conditions during w06/07. Using another threshold value instead of the water column temperature difference ≤ 0.25 °C as a criterion for full mixing does change the absolute number of mixing days but not the difference between standard and experimental simulations.

Figure 1.7 Frequency of winter mixing duration in the standard simulation in which the historical sequence of winters was maintained (white bars) and in all w06/07 of the sequence simulations (black bars). Winter mixing duration was estimated as the number of days during winter in which the maximum temperature difference in the water column was less than 0.25 °C. For further details see method sections.

Discussion

The winter 2006/07 had striking effects on the hydrodynamics and ecology of Lake Constance. However, the possibility of using the conditions and dynamics during 2006/07 as a blueprint for those expected with global warming will depend strongly on the state variables and processes that are actually considered: for some variables (e.g.

plankton phenology) w06/07 may indeed be a glimpse for future warming, however, changes in other state variables and/or processes may be less strong (e.g. mixing behaviour) or even stronger (e.g. water temperature) in a warmer climate than the changes observed from w05/06 towards w06/07.

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Partially, anomalies calculated for chlorophyll a, algal biovolume and Daphnia abundance may also be influenced by changes in the trophic status of the lake. As both, algal and Daphnia abundances have declined with oligotrophication (Anneville et al.

2005, Straile, unpublished data), low positive or even negative anomalies during w06/07 may be due to the response to oligotrophication. However, calculation of anomalies based on detrended data (results not shown) did not suggest a strong underestimation of climate related w06/07 anomalies due to the confounding effects of oligotrophication. This supports previous results that especially during winter algal and zooplankton population may be more limited by light and low temperatures, respectively, than by nutrients or food availability (Peeters et al. 2007b; Schalau et al.

2008).

The comparison of w06/07 with w05/06 is not confounded by changes in trophic status as the winter phosphorus concentration integrated over the total water column was similar in the two adjacent years. Rather, the comparison emphasizes the importance of meteorological forcing for the ecology of a large and deep lake. Whereas the cold w05/06 caused a long period of homeothermy, mixing, and cooling of the complete water body down to 4°C, mild w06/07 cooled down upper water layers (0-20 m) to only 5.2°C. As deep-water temperatures during w06/07 still were around 4°C, the density gradient between upper (lighter) and lower (heavier) water layers prevented mixing during w05/06 with consequences for e.g., upward mixing of nutrients, downward mixing of oxygen and phytoplankton growth. As phytoplankton growth during winter in a deep lake is strongly reduced by mixing (Peeters et al. 2007b), the absence of deep-water mixing during w06/07 caused enhanced chlorophyll a concentrations down to the mixing depth of approximately 40-60m. Striking differences between these two winters were also observed in regard to the microbial plankton (Kamjunke et al. 2009).

The comparison between plankton developments in 2007 versus 2006 strongly supports previous modelling results suggesting that algal development in Lake Constance depends largely on mixing dynamics (Peeters et al. 2007b) whereas Daphnia development during spring is strongly controlled by water temperatures but much less by food availability (Schalau et al. 2008). Furthermore these data support the model prediction (Schalau et al. 2008) that an earlier temperature increase will change the timing of minimum and maximum Daphnia abundances but not the height of the maxima. The change in the timing of maximum abundances resulting from faster

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growth of Daphnia in warmer waters in turn leading to an earlier overexploitation of the algal food (Schalau et al. 2008). While average chlorophyll a concentrations during April 2007 did not differ from those during March 2007 water temperatures were still below 6 °C in March but increased strongly during April. This suggests that the increase in Daphnia numbers during April 2007 was predominantly caused by the increase in water temperatures.

Both, anomaly calculations as well as hydrodynamical modelling suggest that the specific sequence of winters, i.e., cold w06/07 followed by warm w06/07, is important for understanding the response of deep Lake Constance to w06/07. Largest anomalies were observed for variables related to winter mixing, e.g. Schmidt stability and relSRP. The specific sequence of winters resulted in a large temperature difference in w06/07 between rather warm surface temperature and still cold deep-water temperatures remaining from the last significant cooling during w05/06. The large vertical temperature difference within the water column caused large w06/07 Schmidt stability anomalies and relSRP anomalies in the upper water layers. The latter are primarily caused by the absence of up-ward mixing of SRP during w06/07.

Additionally, enhanced uptake of SRP due to enhanced phytoplankton biomass throughout w06/07 possibly further reduced relSRP. Absence of mixing in w06/07 did not result in large hypolimnetic O2 anomalies. However, during w06/07 O2 anomalies declined from a positive anomaly of 1.8 in January 2007 – still due to full mixing and deep-water oxygen replenishment during w05/06 - towards zero in March 2007 reflecting the absence of downward mixing of O2. The w06/07 hypolimnetic O2

temporal development is hence in contrast to the long-term average temporal hypolimnetic O2 development during winter in Lake Constance, which is characterised by an increase of O2 concentrations (Fig. 1.2) due to late winter mixing. Nevertheless, the absence of winter mixing in one year does not cause large hypolimnetic O2

anomalies because oxygen depletion in the deep water of Lake Constance appears to be low due to its oligotrophic state. However, oxygen depletion can result in deep lakes from a series of warm winters causing a saw-tooth like development of deep water temperatures and a continuous decline of hypolimnetic O2 concentrations (Livingstone 1997; Straile et al. 2003a).

Recent climate change scenarios for winter mixing and the onset of stratification in Lake Constance predicted that warming should result in an earlier phytoplankton spring bloom and in a shorter duration but not a complete absence of the winter mixing

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period (Peeters et al. 2007a). The complete absence of deep water mixing observed during w06/07 seems to suggest that the reality of warming has already outrun the projections from scenario simulations. However, the comparison of the w06/07 hydrodynamical simulations with the eq06/07 hydrodynamical simulation shows that the strong effect of w06/07 on the mixing regime is at least partially due to the fact that w06/07 was preceded by the rather cold w05/06. The latter resulted in rather cool hypolimnetic waters and w06/07 apparently was not severe enough to cool upper water layer temperatures down to those in the hypolimnion, i.e., to reach homeothermy. In the eq06/07 simulations hypolimnetic temperatures have increased up to 7.5 °C and in this case, w06/07 meteorological conditions would result in homeothermy and winter mixing. The complex relationship between winter air temperature sequences and mixing strength was also revealed by the non-linear relationship between average winter air temperatures and our measure of mixing strength (relSRPmax). Warm winters clearly decreased relSRPmax as a warm winter decreases the likelihood to cool upper water layers down to hypolimnetic temperatures, i.e. to reach homeothermy. In contrast, average air temperatures below 3 °C always resulted in relSRPmax larger than 50 %. In these years relSRPmax seems to be partially related to the air temperatures of the previous winter and consequently to hypolimnetic water temperatures in November. A warm previous winter results in a warmer hypolimnion throughout the present winter (Straile et al. 2003a) thereby increasing the likelihood of homeothermy. Hence, winter mixing strength in a deep lake seems to be strongly influenced by air temperatures of the current and the previous winter. However, high temperatures in the current winter decrease the likelihood of homeothermy whereas high temperatures in the previous winter increase the likelihood of homeothermy. While the previous winter may have a strong influence on the mixing dynamics of the current winter (Fig. 1.7), the previous summer is much less likely to have a strong influence (see exchange simulations in supporting online information). This is because variability in summer meteorology mainly influences upper water layer temperatures but hardly the temperatures of the large volumes of hypolimnetic water. As a consequence, summer air temperatures will not have a similarly long lasting effect on stratification as winter air temperatures, which influence the temperatures of the hypolimnion.

Statistical analysis of data can solely not answer the question whether the influence of a warm winter on mixing and plankton growth is due to the air temperature of the warm winter alone or is supported by the specific sequence of this winter, as a

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warm winter also increases the probability that there is a large temperature difference between two successive winters. However, sequence simulations showed that although w06/07 would have reduced mixing duration considerably, w06/07 would have resulted in a complete loss of mixing only in 18 % of the sequences examined, whereas in 82 % of winters the temperature difference between successive winters was not large enough to prevent mixing. This suggests that if we take w06/07 as a model for the effects of climate warming on winter mixing and its associated consequences, we would overestimate the effects of a warmer climate on a deep lake. On the other hand, a large difference in temperatures between two consecutive winters may be expected to occur more often in a warmer world as models predict increasing temperature variability in the next century (Schär et al. 2004). In conclusion, w06/07 most likely overestimates the consequences of a warmer climate for winter mixing, although the frequency and duration (Peeters et al. 2007a) of winter mixing in the future will likely be reduced as compared to the 20th century.

Regarding absolute water temperature in the epilimnion and especially in the hypolimnion w06/07 underestimates the effects of warming. One warm winter in a deep lake is not sufficient to strongly heat up the entire water column. The eq06/07 simulations suggested that it would need at least five repetitions of w06/07 meteorology for the lake to reach a new equilibrium in regard to winter water temperatures and mixing regime. This number should however be regarded as a minimum estimate as the w06/07 simulations showed that the model tends to overestimate the depth of the mixed layer during winter which suggests that vertical turbulent diffusivity was somewhat too strong in the simulations. A reduced turbulent diffusivity in the model would result in a longer transition period towards a new equilibrium.

Nevertheless, in a generally warmer climate with repeated winter conditions as in w06/07 epilimnetic and hypolimnetic water temperatures are predicted to increase beyond the temperatures observed during a single extreme winter (see eq06/07 simulations and Peeters et al. 2007a). Especially, the predicted unprecedented warming of deeper water layers may have striking consequences for species which use deeper water layers within a part of their life cycle. For example, in Lake Constance eggs of the dominant planktivorous fish (Coregonus lavaretus) develop on the surface of and planktonic copepods (Cyclops vicinus) diapause within deep hypolimnetic sediments (Straile et al. 2007; Seebens et al. 2009)(Straile et al., 2007; Seebens et al., 2009).

Hence, strongly increased hypolimnetic water temperatures may cause a mismatch of

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fish larvae and copepods emerging from the hypolimnion with their respective epilimnetic food sources. In addition deep-water warming is also of concern regarding hypolimnetic oxygen concentrations as increased water temperatures may lead to an increase in the rate of oxygen depletion within the water column and the sediment.

To conclude, the comparison of w06/07 limnology with w05/06 limnology, long-term data and simulation results revealed a complex answer to our question: is w06/07 limnology also a shape of the limnology expected to come with warming in a deep lake? The answer depends on the state variables and processes considered:

regarding the advances in phenology of e.g. the phytoplankton bloom and Daphnia spring development, w06/07 may indeed be typical for a warmer world. However, the reduction in vertical mixing indicated by the observations from warm winter w06/07 was very strong because w06/07 was preceded by the rather cold w05/06 and most likely will be less severe in a generally warmer world. With respect to absolute water temperatures, w06/07 most likely underestimates the increase in water temperature in a world as is predicted by IPCC scenarios. Consequently, the interpretation of observations from extreme winters as indicators of the consequences of climate warming for lakes ecosystems must be treated with great care, especially in deep lakes where the time scales of changes in abiotic conditions e.g. deep-water heat content, and their consequences on biota are substantially longer than the duration of the extreme event.

Acknowledgements

We thank Max Tilzer and Walter Geller (Limnological Institute, University of Konstanz) as well as Henno Rossknecht and Harald Hetzenauer (Institut für Seenforschung, Langenargen) and the German National Meteorological Service (Deutscher Wetterdienst) for providing limnological and meteorological long-term data.

Two reviewers provided insightful comments which substantially improved this manuscript. Financial support was given by the University of Konstanz and the Deutsche Forschungsgemeinschaft (project PE 701/2-1 within the AQUASHIFT programme, SPP 1162).

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Appendix A

Results of exchange simulation experiments on the importance of summer and autumn meteorology for water temperature dynamics during w06/07

The importance of meteorology prior to December 2006 for w06/07 water temperature dynamics was analyzed by exchanging the meteorology of summer and autumn 2006 with that of summer and autumn 2005 for time periods of variable length, e.g., November or June – October. This experiment showed that as compared to the standard simulation no large differences in water temperature occurred during w05/06 when exchanging June – October although this strongly affected epilimnetic and metalimnetic water temperatures in summer (Fig. 1.A1 B, F). In contrast, an exchange of November meteorology had strong effects lasting throughout the winter (Fig. 1.A1 C, G). Lower 2005 November temperatures in the second half of November (Fig. 1.A1 E, the first part of November 2005 was actually warmer then the first part of November 2006) would have resulted into enhanced cooling from this point onwards with consequences for water temperatures continuing until the next spring. This suggests that the rather high air temperatures from the 2nd half of November 2006 until March 2007 but not the temperatures from June to October 2006 are important in understanding w06/07 dynamics.

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Figure 1.A1 A) Air temperatures (7 day moving average) during the periods from May 2005 until April 2006 and May 2006 until April 2007, B) results of the standard simulation from May 2006 until April 2007, C) Simulation results of the exchange of June to October 2006 meteorology with June to October 2005 meteorology, D) Simulation results of the exchange of November 2006 meteorology with November 2005 meteorology, E) Daily differences in air temperature (7 day moving average) between the two time periods shown in A, F) Depth and time specific differences in water temperatures between the simulations shown in B and C,G) Depth and time specific differences in water temperatures between the simulations shown in B and D.

Please note, that maximum and minimum temperature differences extend the limits of the colour coding.

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Chapter 2 Seasonal, inter-annual and long term variation in top- down vs. bottom-up regulation of primary production

Onur Kerimoglu, Dietmar Straile, Frank Peeters

Abstract

Environmental change strongly affects primary productivity of ecosystems via modifying bottom-up and top-down regulation of primary producers. Here we present a novel approach to quantify the relative importance of regulating factors in natural systems over various time scales: we calculated daily effect sizes of major factors affecting phytoplankton growth during the spring bloom period during almost 3 decades of lake oligotrophication using numerical experiments with a data based simulation model. We show that with oligotrophication the regulation of spring phytoplankton shifts from primarily top-down to bottom-up, and that the changes in regulation are non- linearly related to the nutrient (phosphorus) concentrations. Our findings indicate that long-term changes in top-down regulation cannot be understood without considering multiple herbivore taxa, here, microzooplankton (ciliates) and mesozooplankton (daphnids). We further demonstrate that bottom-up and top-down regulation are not independent from each other and that their interaction is time-scale dependent.

Key words: effect size, oligotrophication, plankton succession, Daphnia, ciliates, hydrodynamically driven biological model

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Introduction

Primary productivity is a key process affecting global carbon fluxes and food web structures in ecosystems. On a global scale, humans alter producer biomass via changing e.g., global input rates of major plant nutrients (Jeppesen et al. 2005; Smith and Schindler 2009), herbivore abundances (Hughes 1994; Miehe et al. 2010) and climatic conditions (Behrenfeld et al. 2006; Boyce et al. 2010). In the face of future environmental change, a better understanding of the control of primary productivity and producer biomass is hence an immediate issue of ecological research (Elser et al. 2007;

Gruner et al. 2008).

Ever since the seminal work of (Hairston et al. 1960), determination of whether the abundance of organisms at a given trophic level is regulated by bottom-up factors such as resource availability or top-down factors such as predation has been a major goal in ecological research (Oksanen et al. 1981; McQueen et al. 1989; Elser and Goldman 1991). Ecologists nowadays recognize the simultaneous operation of top- down and bottom-up processes, and focus on their relative importance (Osenberg and Mittelbach 1996), interaction (Leibold 1989) and the response of relative importance and interactions to environmental change (Menge 2000; Carpenter et al. 2001; Jeppesen et al. 2003; Meserve et al. 2003; Gruner et al. 2008). Addressing these issues requires quantification and comparison of the ‘effect sizes’ of bottom-up versus top-down factors (Osenberg and Mittelbach 1996) and consideration of temporal scales encompassing multiple generations of interacting populations and emerging feedback effects therein (Gruner et al. 2008).

It is well known that the identity and intensity of interactions experienced by communities substantially vary throughout the season, or along successional stages (as in Sommer et al. 1986). Especially in the aquatic systems, population densities can change by orders of magnitude within a couple of weeks (Elser and Goldman 1991).

Seasonal changes in the intrinsic dynamics and in the environmental conditions can cause intra-annual variability in the relative importance of top-down versus bottom up processes. For example, Hoekman (2010) reported increasing top down effects with seasonally increasing temperatures. Inter-annual variability or long-term changes in abiotic conditions can also have substantial effects on species interactions and cause inter-annual changes in the relative importance of bottom-up and top-down control of species. Climate warming, for instance, through its differential effects on the phenology

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of interacting species, were shown to disrupt predator-prey interactions (Winder and Schindler 2004), which can consequetly diminish top-down control. Likewsie, changes in rainfall patterns were found to alter the relative importance of top-down vs. bottom- up forcing communities in terrestrial ecosystems (2003). All these complexities point to a need for an assesment of interactions with consideration of both inter- and intra- annual time scales.

It is also increasingly recognized that there is a need to consider the composition and diversity within a trophic level, as different species within a guild can complement each other with regard to the total exerted impact on another guild, and as different species can exhibit different responses to changing conditions (Leibold et al. 1997;

Persson 1999; Sommer et al. 2001; Bakker et al. 2006). In lake ecosystems, mesozooplankton (especially waterfleas of the genus Daphnia) and microzooplankton (especially ciliates) are considered to be the most important herbivores (Weisse et al.

1990; Tirok and Gaedke 2007). Due to their differences in size and life histories (Weisse 2006) both taxa are expected to differ in their response to algal dynamics, suggesting the necessity to study the top-down effects of at least these two taxa on phytoplankton separately.

Here we use a novel combination of long-term observations and dynamic simulations to study the regulation of spring phytoplankton dynamics. Bottom-up limitation of phytoplankton by phosphorus is compared to top-down limitation due to grazing by micro- and meso-zooplankton at a daily resolution during almost 3 decades of nutrient reduction in a well studied planktonic system. In this study, we focus on the spring bloom period, as the food webs in aquatic systems later in the season generally become more complex and the community structures change towards increasing functional heterogeneity (Sommer et al. 1986). Our analysis reveals differential variation in the impacts of the studied factors on spring phytoplankton at seasonal and long-term time scales and demonstrates a shift from the predominance of top-down to bottom-up forcing along a transition from eu/mesotrophic towards oligotrophic conditions. Our approach based on short and long-term quantification of the effect sizes of different potentially limiting factors provides novel insights into the seasonal and long-term dynamics of phytoplankton regulation.

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Material and Methods General approach

The relative importance of bottom-up versus top down regulation was quantified by combining the information from a long-term data set with a biological model driven by hydrodynamically calculated temperature and diffusivity profiles. The vertically resolved phytoplankton model of Peeters et al. (2007a; 2007b) was extended to include nutrient limitation of algal growth (see the Online Appendix A for a description and parameter values). The very detailed long-term data set with a high temporal resolution was utilized to limit the number of state variables and hence the complexity of the biological model, i.e., concentrations of soluble reactive phosphorous (SRP) and zooplankton (Daphnia, bosmina, cyclopoid copepods, Eudiaptomus) biomass were not simulated dynamically but taken from the measurements. As measurements of ciliate biomass were only available for some of the years (1987-1998 and 2006-2007) we estimated ciliate biomass for all years from a dynamic simulation of a coupled ciliate - phytoplankton model that was validated with the available data on ciliates and phytoplankton (see Appendix A). These estimates of ciliate biomass were then treated in the same way the data for other zooplankton groups were treated to force the un- coupled phytoplankton model. The importance of each regulating factor was quantified by comparing a model run that included all limiting factors with model runs in which limitation by one of the factors in focus, i.e. nutrients, ciliates or daphnids, was removed (for details see below).

Study Site

Lake Constance is a deep (zmax: 254m) warm-monomictic lake characterized by a consistent reduction of phosphorus loading during the last decades (Stich and Brinker 2010). The two most important herbivore groups during the spring period in Lake Constance are recognized to be daphnids and ciliates. The contribution of other taxa (e.g. Bosmina, copepods and rotifers) to herbivory has been shown to be of minor importance during spring (Gaedke et al. 2002; Tirok and Gaedke 2006). Hence, we concentrate on daphnid and ciliates as agents of top-down control in this study.

Data set

The meteorological data set used as input for both physical model and biological model consisted of hourly measurements of wind speed, wind direction, air temperature, solar radiation, relative humidity and cloud cover obtained from the Konstanz Meteorological station. A hydrodynamic model was calibrated with monthly to biweekly temperature

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profiles available for the period 1979-1984 from the deepest location in the main basin and qualitatively validated with high resolution data obtained from thermistor chains deployed at the deepest location in the western basin of Lake Constance (for details, see Peeters et al. 2007b). Plankton samples were collected weekly during the growing season at the deepest location of the western basin since 1979. However, chlorophyll a (hereafter chl a) concentrations were not measured in 1984 and 1985, Daphnia abundances not in 1983 and ciliate abundances not during 1979-1986 and 1999 – 2005.

Daphnid and ciliates biomasses were calculated from abundances and size structures according to Weisse & Mueller (1998) and Gaedke et al. (2002). As daphnid biomasses were not available in 1983 this year was excluded from our analysis. Soluble reactive phosphorus (SRP) concentrations were measured at the center of Upper Lake Constance.

Quantification of the impact of a factor controlling phytoplankton growth:

We adopt the definition by (Osenberg and Mittelbach 1996), who quantified limitation as ‘an index that isolates the effect of a limiting factor on per capita population growth’, i.e. algae growth in our study . Specific growth rate of algae can be written in the form:

dt A d Adt

r dA (ln )

)

(ϕ = = , (1)

where A is the concentration of algae and φ stands for a specific parameter set describing the control of phytoplankton growth by the relevant factors (e.g., light, nutrients, herbivores, etc). If the initial concentrations of control and treatment runs are identical, the degree of limitation Δrf due to a certain factor f, can be approximated by:

, ,

ln( t T / t C)

f

A A

r t

Δ = Δ (2)

where, over a manipulation duration Δt, At,C is the final algae concentration attained by a control simulation in which limitation by all considered factors were at ambient levels and At,T is the final algae concentration attained by a treatment simulation in which the limitation by factor f was completely eliminated while holding the other factors at ambient levels. Δrf has been used as a measure of effect size in meta-analyses (e.g., Downing et al. 1999) as well as to quantify ‘interaction strength’ in food webs (e.g., Berlow et al. 1999). The interpretation of Δrf as a measure of limitation due to a certain factor f requires that the manipulation duration is shorter than the time needed for feedback mechanisms to emerge (Downing et al. 1999). In this study, the manipulation duration was chosen to be 1 day (Δt = 1) to capture the overall outcome of day and night

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