Carbon, nitrogen, and phosphorus content of freshwater zooplankton, Limnology and Oceanography, vol.36, issue.4, p.807814, 1991. ,
DOI : 10.4319/lo.1991.36.4.0807
URL : http://onlinelibrary.wiley.com/doi/10.4319/lo.1991.36.4.0807/pdf
Plankton functional type modelling: running before we can walk?, Journal of Plankton Research, vol.27, issue.11, 2005. ,
DOI : 10.1029/GB002i003p00199
URL : https://academic.oup.com/plankt/article-pdf/27/11/1073/4481304/fbi076.pdf
Blue-Green Algae in a ???Greenhouse Century???? New Insights from Field Data on Climate Change Impacts on Cyanobacteria Abundance, Ecosystems, vol.698, issue.3, 2015. ,
DOI : 10.1007/s10750-012-1149-2
Seasonal and inter-annual scales of variability in phytoplankton assemblages: comparison of phytoplankton dynamics in three peri-alpine lakes over a period of 28 years, Freshwater Biology, vol.81, issue.1, p.98115, 2004. ,
DOI : 10.2307/3547051
Grazing limitation and nutrient limitation in marine ecosystems: Steady state solutions of an ecosystem model with multiple food chains, Limnology and Oceanography, vol.39, issue.3, 1994. ,
DOI : 10.4319/lo.1994.39.3.0597
Mountain Weather and Climate: A General Overview and a Focus on Climatic Change in the Alps, Hydrobiologia, vol.12, issue.1, p.316, 2006. ,
DOI : 10.1127/phyto/24/1994/667
URL : http://www.unige.ch/climate/Publications/Beniston/HydBiol2006.pdf
Modeling succession of key resourceharvesting traits of mixotrophic plankton. The ISME journal 11, 2017. ,
DOI : 10.1038/ismej.2016.92
URL : http://www.nature.com/ismej/journal/v11/n1/pdf/ismej201692a.pdf
Longwave radiation budget in the Mediterranean Sea, Journal of Geophysical Research, vol.33, issue.C2, 1995. ,
DOI : 10.1111/j.2153-3490.1981.tb01745.x
Variations in the Microcystin Production of Planktothrix rubescens (Cyanobacteria) Assessed from a Four-Year Survey of Lac du Bourget (France) and from Laboratory Experiments, Microbial Ecology, vol.69, issue.Suppl, 2005. ,
DOI : 10.1127/archiv-hydrobiol/155/2002/383
The daily integral of growth by Planktothrix rubescens calculated from growth rate in culture and irradiance in Lake Zürich, New Phytologist, vol.146, p.301316, 2000. ,
A general framework for aquatic biogeochemical models. Environmental Modelling & Software 61, p.249265, 2014. ,
DOI : 10.1016/j.envsoft.2014.04.002
URL : http://plymsea.ac.uk/6404/1/BrugBold2014.pdf
Predicting future eects from nutrient abatement and climate change on phosphorus concentrations in, Ecological Modelling, vol.221, 2010. ,
DOI : 10.1016/j.ecolmodel.2010.02.013
URL : http://uu.diva-portal.org/smash/get/diva2:308368/FULLTEXT01
Description of a exible and extendable physical-biogeochemical model system for the water column, Journal of Marine Systems, vol.61, 2006. ,
Diversity in the inuence of temperature on the growth rates of freshwater algae, and its ecological relevance, Freshwater Biology, vol.50, p.291300, 2005. ,
Coupling high-resolution measurements to a three-dimensional lake model to assess the spatial and temporal dynamics of the cyanobacterium Planktothrix rubescens in a medium-sized lake, Hydrobiologia, vol.698, p.7795, 2012. ,
Relationships between phytoplankton growth and cell size in surface oceans: Interactive effects of temperature, nutrients, and grazing, Limnology and Oceanography, vol.55, issue.3, p.965972, 2010. ,
DOI : 10.4319/lo.2010.55.3.965a
URL : http://mel.xmu.edu.cn/upload_paper/2014325165656-qhBlF3.pdf
A biogeochemical model of Lake Pusiano (North Italy) and its use in the predictability of phytoplankton blooms: first preliminary results, Journal of Limnology, vol.65, issue.1, 2006. ,
DOI : 10.4081/jlimnol.2006.59
, J. Limnol, vol.65, p.5964
Coexistence of mixotrophs, autotrophs, and heterotrophs in planktonic microbial communities, Journal of Theoretical Biology, vol.262, issue.3, p.517527, 2010. ,
DOI : 10.1016/j.jtbi.2009.10.027
Impact of internal waves on the spatial distribution of Planktothrix rubescens (cyanobacteria) in an alpine lake. The ISME journal 5, p.580589, 2011. ,
URL : https://hal.archives-ouvertes.fr/bioemco-00580734
Deep living Planktothrix rubescens modulated by environmental constraints and climate forcing, Hydrobiologia, vol.698, p.2946, 2012. ,
Vitamin B12 and Marine Ecology. IV. The Kinetics of Uptake, Growth and Inhibition in Monochrysis Lutheri, Journal of the Marine Biological Association of the United Kingdom, vol.33, issue.03, p.689733, 1968. ,
DOI : 10.1038/191868a0
Protocoles d'analyse du phytoplancton de l'INRA: prélèvement, dénombrement et biovolumes, 2008. ,
The dry weight estimate of biomass in a selection of Cladocera, Copepoda and Rotifera from the plankton, periphyton and benthos of continental waters, Oecologia, vol.17, issue.1, p.7597, 1975. ,
DOI : 10.1007/BF00377592
Allometric scaling and taxonomic variation in nutrient utilization traits and maximum growth rate of phytoplankton, Limnology and Oceanography, vol.57, issue.2, p.554566, 2012. ,
DOI : 10.4319/lo.2012.57.2.0554a
Temperature and phytoplankton growth in the sea, Fishery Bulletin, vol.70, 1972. ,
Abundance and toxicity of Planktothrix rubescens in the pre-alpine Lake Ammersee, Germany, Harmful Algae, vol.8, issue.2, p.329342, 2009. ,
DOI : 10.1016/j.hal.2008.07.006
A nitrogen-based model of plankton dynamics in the oceanic mixed layer, Journal of Marine Research, vol.48, issue.3, p.591639, 1990. ,
DOI : 10.1357/002224090784984678
Phytoplankton in a changing world: cell size and elemental stoichiometry, Journal of Plankton Research, vol.52, issue.5739, 2010. ,
DOI : 10.4319/lo.2007.52.5.2205
Misuse of the phytoplankton???zooplankton dichotomy: the need to assign organisms as mixotrophs within plankton functional types, Journal of Plankton Research, vol.455, issue.1, p.311, 2012. ,
DOI : 10.1038/nature07236
Building the "perfect beast": modelling mixotrophic plankton, Journal of Plankton Research, vol.37, issue.7210, p.965992, 2009. ,
DOI : 10.1038/nature07236
Implementation of ecological modeling as an eective management and investigation tool: Lake Kinneret as a case study, Ecological Modelling, vol.220, 2009. ,
Estimating future cyanobacterial occurrence and importance in lakes: a case study with Planktothrix rubescens in Lake Geneva, Aquatic Sciences, vol.78, issue.4, p.249263, 2017. ,
DOI : 10.1016/j.taap.2004.11.002
URL : https://hal.archives-ouvertes.fr/hal-01608611
Functional responses for zooplankton feeding on multiple resources: a review of assumptions and biological dynamics, Deep Sea Research Part II: Topical Studies in Oceanography, vol.50, issue.22-26, p.28472875, 2003. ,
DOI : 10.1016/j.dsr2.2003.07.001
Resource Competition in a Variable Environment: Phytoplankton Growing According to the Variable-Internal-Stores Model, The American Naturalist, vol.138, issue.4, p.811835, 1991. ,
DOI : 10.1086/285254
Stoichiometry, Herbivory and Competition for Nutrients: Simple Models based on Planktonic Ecosystems, Journal of Theoretical Biology, vol.214, issue.4, p.599618, 2002. ,
DOI : 10.1006/jtbi.2001.2488
Seasonal dynamics and depth distribution of Planktothrix spp. in Lake Steinsfjorden (Norway) related to environmental factors, Journal of Plankton Research, vol.31, issue.201, p.471482, 2007. ,
DOI : 10.1023/A:1003047019422
Zooplankton grazing and growth: Scaling within the 2-2,000-??m body size range, Limnology and Oceanography, vol.45, issue.8, p.687704, 1997. ,
DOI : 10.4319/lo.2000.45.8.1891
Ecological stoichiometry: An elementary approach using basic principles, Limnology and Oceanography, vol.58, issue.6, p.22192236, 2013. ,
DOI : 10.4319/lo.2013.58.6.2219a
, Eects of Temporal Priority on Interspecic Interactions and Community Development. Oikos 76, p.350358, 1996.
, Pelagic functional group modeling: Progress, challenges and prospects. Deep Sea Research Part II: Topical Studies in Oceanography 53, p.459512, 2006.
The proliferation of the toxic cyanobacterium Planktothrix rubescens following restoration of the largest natural French lake (Lac du Bourget), Harmful Algae, vol.4, issue.4, 2005. ,
DOI : 10.1016/j.hal.2003.12.006
URL : https://hal.archives-ouvertes.fr/hal-00711669
The need for ecological monitoring of freshwaters in a changing world: A case study of Lakes, Environmental Monitoring and Assessment, vol.186, p.34553476, 2014. ,
from Lake Bourget (France) after restoration, Freshwater Biology, vol.48, issue.4667, p.24722487, 2014. ,
DOI : 10.1046/j.1365-2427.2003.01134.x
Summer heatwaves promote blooms of harmful cyanobacteria, Global Change Biology, vol.136, issue.3, p.495512, 2008. ,
DOI : 10.1093/plankt/12.2.423
Summary diagrams for coupled hydrodynamic-ecosystem model skill assessment, Journal of Marine Systems, vol.76, p.6482, 2009. ,
Phosphorus gain by bacterivory promotes the mixotrophic agellate Dinobryon spp. during re-oligotrophication, Journal of Plankton Research, vol.29, p.3946, 2007. ,
Role of phytoplankton cell size on the competition for nutrients and light in incompletely mixed systems, Journal of Theoretical Biology, vol.300, p.330343, 2012. ,
DOI : 10.1016/j.jtbi.2012.01.044
Seasonal, inter-annual and long term variation in top-down versus bottom-up regulation of primary production, Oikos, vol.85, issue.2, p.223234, 2013. ,
DOI : 10.1890/04-0151
How zooplankton feed: mechanisms, traits and trade-os, Biological Reviews of the Cambridge Philosophical Society, vol.86, p.311339, 2011. ,
Air-sea bulk transfer coecients in diabatic conditions, Boundary Layer Meteorology, vol.9, p.91112, 1975. ,
Buoyancy regulation and vertical migration by Oscillatoria Rubescens in Crooked Lake, British Phycological Journal, p.427442, 1982. ,
A computer model of buoyancy and vertical migration in cyanobacteria, Journal of Plankton Research, vol.12, issue.1, p.161183, 1990. ,
DOI : 10.1093/plankt/12.1.161
Strategies for the co-existence of zooplankton with the toxic cyanobacterium Planktothrix rubescens in Lake Zürich, Journal of Plankton Research, vol.21, p.659683, 1999. ,
Highfrequency monitoring of phytoplankton dynamics within the European water framework directive: application to metalimnetic cyanobacteria, Biogeochemistry, vol.106, p.229242, 2011. ,
URL : https://hal.archives-ouvertes.fr/bioemco-00642853
The role of functional traits and trade-os in structuring phytoplankton communities: scaling from cellular to ecosystem level, Ecology Letters, vol.10, p.11701181, 2007. ,
Contrasting size evolution in marine and freshwater diatoms, Proceedings of the National Academy of Sciences 106, 2009. ,
DOI : 10.1029/2005GL022463
Linking traits to species diversity and community structure in phytoplankton, p.1528, 2010. ,
DOI : 10.1007/978-90-481-9908-2_3
Carbon to volume relationships for dinoagellates , diatoms , and other protist plankton, Limnology and Oceanography, vol.45, p.569579, 2000. ,
DOI : 10.4319/lo.2000.45.3.0569
URL : http://onlinelibrary.wiley.com/doi/10.4319/lo.2000.45.3.0569/pdf
Modelling functional groups of phytoplankton in three lakes of dierent trophic state, Ecological Modelling, vol.211, p.279291, 2008. ,
The role of mixotrophic protists in the biological carbon pump, Biogeosciences, vol.11, 2014. ,
Kinetics of nutrient uptake and growth in phytoplankton, Journal of Phycology, vol.23, 1987. ,
Toxic cyanobacterial blooms in reservoirs under a semiarid mediterranean climate: The magnification of a problem, Environmental Toxicology, vol.169, issue.509, p.399404, 2007. ,
DOI : 10.1127/archiv-hydrobiol/145/1999/147
Grazing of two toxic Planktothrix species by Daphnia pulicaria: potential for bloom control and transfer of microcystins, Journal of Plankton Research, vol.29, issue.10, 2007. ,
DOI : 10.1093/plankt/fbm062
URL : https://hal.archives-ouvertes.fr/hal-00711636
Biogeochemical model of Lake Zürich: model equations and results, Ecological Modelling, vol.141, issue.77103, 2001. ,
DOI : 10.1016/s0304-3800(01)00256-3
Bio-optical and biogeochemical properties of dierent trophic regimes in oceanic waters, Limnology and Oceanography, vol.50, 2005. ,
DOI : 10.4319/lo.2005.50.6.1795
URL : http://onlinelibrary.wiley.com/doi/10.4319/lo.2005.50.6.1795/pdf
Rarity, ecological memory, rate of oral change in phytoplanktonand the mystery of the Red Cock, Hydrobiologia, vol.653, p.4564, 2010. ,
Optimality-based model of phytoplankton growth and diazotrophy, Marine Ecology Progress Series, vol.489, issue.116, 2013. ,
DOI : 10.3354/meps10449
URL : http://www.int-res.com/articles/feature/m489p001.pdf
Irradience measurements in the upper ocean, Journal of Physical Oceanography, vol.7, p.952956, 1977. ,
Albedo of the Sea Surface, Journal of the Atmospheric Sciences, vol.29, issue.5, p.959970, 1972. ,
DOI : 10.1175/1520-0469(1972)029<0959:AOTSS>2.0.CO;2
Harmful lamentous cyanobacteria favoured by reduced water turnover with lake warming, Nature Climate Change, vol.2, p.809813, 2012. ,
DOI : 10.1038/nclimate1581
URL : http://www.zora.uzh.ch/id/eprint/134628/1/Posch_Nature_Climate_Change_2012.pdf
A simulation study of the feedback of phytoplankton on thermal structure via light extinction, Freshwater Biology, vol.42, 2010. ,
DOI : 10.1080/15715124.2003.9635214
When do aquatic systems models provide useful predictions, what is changing, and what is next? Environmental Modelling and Software 61, p.287296, 2014. ,
DOI : 10.1016/j.envsoft.2014.01.009
A General Circulation Model for Upper Ocean Simulation, Journal of Physical Oceanography, vol.18, issue.11, p.16011626, 1988. ,
DOI : 10.1175/1520-0485(1988)018<1601:AGCMFU>2.0.CO;2
URL : http://journals.ametsoc.org/doi/pdf/10.1175/1520-0485%281988%29018%3C1601%3AAGCMFU%3E2.0.CO%3B2
Vertical distribution and composition of phytoplankton under the inuence of an upper mixed layer, Journal of Theoretical Biology, vol.263, 2010. ,
Long-term phytoplankton community changes in a deep subalpine lake: responses to nutrient availability and climatic fluctuations, Freshwater Biology, vol.276, issue.4, p.825846, 2010. ,
DOI : 10.4319/lo.2008.53.4.1294
Eects of nutrient availability and temperature on phytoplankton development: A case study from large lakes south of the Alps, Aquatic Sciences, vol.74, p.555570, 2012. ,
Eco-evolutionary dierences in light utilization traits and distributions of freshwater phytoplankton, Limnology and Oceanography, vol.56, p.589598, 2011. ,
DOI : 10.4319/lo.2011.56.2.0589
Phytoplankton functional type modelling: Running before we can walk? A critical evaluation of the current state of knowledge, Ecological Modelling, vol.320, p.2943, 2016. ,
DOI : 10.1016/j.ecolmodel.2015.08.029
, Beyond the Plankton Ecology Group (PEG) Model: Mechanisms Driving Plankton Succession. Annual Review of Ecology, Evolution, and Systematics 43, 2012.
Climate change and the phytoplankton spring bloom: warming and overwintering zooplankton have similar effects on phytoplankton, Global Change Biology, vol.58, issue.08, p.154162, 2011. ,
DOI : 10.1017/CBO9780511546013
The role of predation in plankton models, Journal of Plankton Research, vol.14, issue.1, p.157172, 1992. ,
DOI : 10.1093/plankt/14.1.157
Gross growth eciencies of protozoan and metazoan zooplankton and their dependence on food concentration, predator-prey weight ratio, and taxonomic group, Limnology and Oceanography, vol.42, p.13751385, 1997. ,
Occurrence and mass development of Mougeotia spp. (Zygnemataceae) in large, deep lakes, Hydrobiologia, vol.698, issue.270, p.1729, 2014. ,
DOI : 10.1007/s10750-012-1145-6
Trait-based representation of diatom functional diversity in a plankton functional type model of the eutrophied southern North Sea, Limnology and Oceanography, vol.59, issue.6, 2014. ,
DOI : 10.4319/lo.2014.59.6.1958
On the Strategy of "Eating Your Competitor": A Mathematical Analysis of Algal Mixotrophy, Ecology, vol.77, issue.7, 1997. ,
DOI : 10.2307/2265705
Long-term temperature evolution in a deep sub-alpine lake, Lake Bourget, France: how a one-dimensional model improves its trend assessment, Hydrobiologia, vol.244, issue.0, p.4964, 2014. ,
DOI : 10.1016/j.ecolmodel.2012.06.016
, Phytoplankton variability in Lake Bourget: Phytoplankton dynamics and meteorology. Lakes & Reservoirs: Research and Management 7, p.93102, 2002.
Contribution of mathematical modeling to lake ecosystem understanding, Hydrobiologia, vol.300301, p.433442, 1995. ,
The critical pressures of gas vesicles in Planktothrix rubescens in relation to the depth of winter mixing in Lake Zurich, Journal of Plankton Research, vol.20, p.13571375, 1998. ,
Comparison of the depth where Planktothrix rubescens straties and the depth where the daily insolation supports its neutral buoyancy, New Phytologist, vol.162, p.133145, 2004. ,
Light-dependent growth rate determines changes in the population of Planktothrix rubescens over the annual cycle in Lake Zürich, Switzerland, New Phytologist, vol.154, p.671687, 2002. ,
A size-structured food-web model for the global ocean, Limnology and Oceanography, vol.57, issue.6, 2012. ,
DOI : 10.4319/lo.2012.57.6.1877a
Marine mixotrophy increases trophic transfer eciency, mean organism size, and vertical carbon ux, Proceedings of the National Academy of Sciences 113, p.29582963, 2016. ,
Autotrophic Stoichiometry Emerging from Optimality and Variable Colimitation, Frontiers in Ecology and Evolution, vol.4, p.131, 2016. ,
Mechanistic origins of variability in phytoplankton dynamics: Part I: niche formation revealed by a size-based model, Marine Biology, vol.55, issue.9, p.23192335, 2013. ,
DOI : 10.1016/j.seares.2005.08.002
, Appendices A Composition of functional groups
, Taxonomic classes and stage classes contributing to each zooplankton group are listed in table A1. Major phytoplankton species in Lake Bourget making up the top ~80 % biovolume of each phytoplankton group, and the taxonomic class they belong are
, Sensitivity of scenario analysis to the model structure
, is really associated with thèpriority eect' as claimed in the main text, in the absence of its competitors (other phytoplankton groups), P. Rubescens should reach to substantial abundances in 2010, even if starting from a small initial abundance after winter. In order to test this prediction, we performed the scenario analysis with an alternative model structure, which P. Rubescens is the only autotroph available in the system, herbivorous zooplankton (ZH) feeds on P, 2010.
Results of the scenario analysis obtained with this simple model structure is qualitatively dierent than those obtained with the reference model described in the text: initial inoculum of P. Rubescens indeed only determines the timing of the bloom, and not the presence/absence (Fig. B1) This analysis suggests that the disappearance of P. Rubescens from Lake Bourget is not a simple linear response to the inoculum size, but a case of competitive exclusion facilitated by the priority eect ,
, Surface (0-20 m) average water column average state variables with initial DIP concentration of DIP 0 = 0.46 mmolP m 3 as in 2010 (solid lines), DIP 0 = 0.91 mmolP m 3 as in 2004 (dashed lines), in combination with initial P. rubescens concentration of P R 0 = 0.01 mmolC m 3 as (was assumed) in 2010 (no marker), (triangles). Initial conditions for all other variables and meteorological forcing was as, 2010.