Generic limnological models on the touchstone: Testing the lake simulation library SALMO-OO and the rule-based Microcystis agent for warm-monomictic hypertrophic lakes in South Africa

Abstract Generic models are required to share models for the same category of ecosystems in order to facilitate comparative scenario analyses and forecasting, and classify ecosystem health. However, generality is the most often neglected one of the three criteria for model validation: reality, precision and generality. The paper suggests to validate models for lake ecosystem categories defined by (a) circulation types of lakes that to some degree reflect climate and morphometry, and (b) trophic states of lakes that to some degree reflect community structures and habitat properties. Two models are tested for South African lakes belonging to the category of warm-monomictic and hypertrophic lakes: the deterministic simulation library SALMO-OO and a rule-based agent for Microcystis discovered by evolutionary computation. SALMO-OO is an object-oriented implementation of mass balance equations for a typical pelagic food web (diatoms, green algae, blue-green algae, and cladocerans) and nutrient cycles (PO 4 -P, NO 3 -N, detritus) as well as alternative process models for algal growth and grazing, zooplankton growth and mortality. During validation the best performing model structure is determined for a number of lakes belonging to the same category. SALMO-OO is implemented in JAVA providing an interactive user-interface. The rule-based Microcystis agent has been discovered by the hybrid evolutionary algorithm HEA after training by merged time series data of three lakes belonging to the same category and 14-fold cross-validation for data of all 14 years of each lake. The agent allows 7-days-ahead forecasting of Microcystis abundance for any of the three lakes. It can be concluded that the design and validation of models for ecosystem categories improves the generality of models, and promotes both model as well as data sharing. Future work will focus on distinctive ecological features of ecosystem categories to be considered in informed structure design and validation of category models.

[1]  R. Levins The strategy of model building in population biology , 1966 .

[2]  C. van Ginkel,et al.  The seasonal and spatial distribution of cyanobacteria in South African surface waters , 2000 .

[3]  R. Robarts Factors controlling primary production in a hypertrophic lake (Hartbeespoort Dam, South Africa) , 1984 .

[4]  Friedrich Recknagel,et al.  Rule-based agents for forecasting algal population dynamics in freshwater lakes discovered by hybrid evolutionary algorithms , 2008, Ecol. Informatics.

[5]  Friedrich Recknagel,et al.  Hybrid Evolutionary Algorithm for Rule Set Discovery in Time-Series Data to Forecast and Explain Algal Population Dynamics in Two Lakes Different in Morphometry and Eutrophication , 2006 .

[6]  Richard A. Park,et al.  A generalized model for simulating lake ecosystems , 1974 .

[7]  T. Zohary,et al.  Diurnal mixed layers and the long-term dominance of Microcystis aeruginosa , 1989 .

[8]  J. Benndorf,et al.  Problems of application of the ecological model salmo to lakes and reservoirs having various trophic states , 1982 .

[9]  George B. Arhonditsis,et al.  Eutrophication model for Lake Washington (USA): Part I. Model description and sensitivity analysis , 2005 .

[10]  Pei Hongping,et al.  Study on the algal dynamic model for West Lake, Hangzhou , 2002 .

[11]  H. Cao,et al.  Adaptive agents for forecasting seasonal outbreaks of blue-green algal populations in lakes categorised by circulation type and trophic state , 2008 .

[12]  Friedrich Recknagel,et al.  Short- and long-term control of external and internal phosphorus loads in lakes—A scenario analysis , 1995 .

[13]  C.E. Van Ginkel,et al.  Monitoring microcystin toxin and chlorophyll in five South African impoundments , 2006 .

[14]  E. Welch,et al.  Restoration and Management of Lakes and Reservoirs , 2005 .

[15]  Jürgen Benndorf,et al.  Possibilities and Limits for Controlling Eutrophication by Biomanipulation , 1995 .