Modelling Microcystis aeruginosa bloom dynamics in the Nakdong River by means of evolutionary computation and statistical approach

Dynamics of a bloom-forming cyanobacteria (Microcystis aeruginosa ) in a eutrophic river � /reservoir hybrid system were modelled using a genetic programming (GP) algorithm and multivariate linear regression (MLR). The lower Nakdong River has been influenced by cultural eutrophication since construction of an estuarine barrage in 1987. During 1994 � /1998, the average concentrations of nutrients and phytoplankton were: NO3 � /N, 2.7 mg l � 1 ;N H 4 � /N, 0.6 mg l � 1 ;P O 4� � /P, 34.7 m gl � 1 ; and chlorophyll a , 50.2 m gl � 1 . Blooms of M. aeruginosa occurred in summers when there were droughts. Using data from 1995 to 1998, GP and MLR were used to construct equation models for predicting the occurrence of M. aeruginosa . Validation of the model was done using data from 1994, a year when there were severe summer blooms. GP model was very successful in predicting the temporal dynamics and magnitude of blooms while MLR resulted rather insufficient predictability. The lower Nakdong River exhibits reservoir-like ecological dynamics rather than riverine, and for this reason a previous river mechanistic model failed to describe uncertainty and complexity. Results of this study suggest that an inductive-empirical approach is more suitable for modelling the dynamics of bloom-forming algal species in a river � /reservoir transitional system. # 2002 Elsevier Science B.V. All rights reserved.

[1]  Ivan Bratko,et al.  Equation discovery with ecological applications , 1999 .

[2]  Peter A. Whigham Inductive bias and genetic programming , 1995 .

[3]  Xin Yao,et al.  Evolutionary computation : theory and applications , 1999 .

[4]  H. Utermöhl Zur Vervollkommnung der quantitativen Phytoplankton-Methodik , 1958 .

[5]  Peter A. Whigham,et al.  Predictive modelling of plankton dynamics in freshwater lakes using genetic programming , 1999 .

[6]  N. Foged Diatoms in Eastern Australia , 1978 .

[7]  Friedrich Recknagel,et al.  Prediction and elucidation of phytoplankton dynamics in the Nakdong River (Korea) by means of a recurrent artificial neural network , 2001 .

[8]  I. Dimopoulos,et al.  Application of neural networks to modelling nonlinear relationships in ecology , 1996 .

[9]  Jacco C. Kromkamp,et al.  A computer model of buoyancy and vertical migration in cyanobacteria , 1990 .

[10]  Gea-Jae Joo,et al.  Articles : Long - Term Trend of the Eutrophication of the Lower Nakdong River , 1997 .

[11]  Larry R. Medsker,et al.  Microcomputer applications of hybrid intelligent systems , 1996 .

[12]  Peter A. Whigham,et al.  Induction of a marsupial density model using genetic programming and spatial relationships , 2000 .

[13]  S. Mitrovic,et al.  Low nitrate concentrations in a tidally mixed river coincide with replacement of chlorophytes by the cyanophyte Microcystis , 2000 .

[14]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[15]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[16]  Eric Renshaw Modelling biological populations in space and time , 1990 .

[17]  A. Marker,et al.  Spatial and temporal characteristics of algae in the River Great Ouse. I. Phytoplankton , 1997 .

[18]  Alan H. Fielding,et al.  Machine Learning Methods for Ecological Applications , 2012, Springer US.

[19]  Gea-Jae Joo,et al.  Microcystis bloom formation in the lower Nakdong River, South Korea: importance of hydrodynamics and nutrient loading , 1999 .

[20]  Milan Straškraba,et al.  Ecotechnological models for reservoir water quality management , 1994 .

[21]  Peter A. Whigham,et al.  Evolving structure - optimising content , 2001, Proceedings of the 2001 Congress on Evolutionary Computation (IEEE Cat. No.01TH8546).

[22]  F. Recknagel ANNA – Artificial Neural Network model for predicting species abundance and succession of blue-green algae , 1997, Hydrobiologia.

[23]  J. Bailey–Brock,et al.  An Unique Anchialine Pool in the Hawaiian Islands , 1998 .

[24]  F. Recknagel,et al.  Elucidation and Prediction of Aquatic Ecosystems by Artificial Neuronal Networks , 2000 .

[25]  Sovan Lek,et al.  Artificial Neuronal Networks , 2000 .

[26]  Ulrich Sommer,et al.  The PEG-model of seasonal succession of planktonic events in fresh waters , 1986, Archiv für Hydrobiologie.

[27]  Peter Calow,et al.  The River's handbook: hydrological and ecological principles. Vol. 1 , 1993 .

[28]  Young-Seuk Park,et al.  Patternizing communities by using an artificial neural network , 1996 .

[29]  Peter Nordin,et al.  Genetic programming - An Introduction: On the Automatic Evolution of Computer Programs and Its Applications , 1998 .

[30]  N. N. Smirnov,et al.  A revision of the Australian Cladocera (Crustacea) , 1983 .

[31]  David E. Goldberg,et al.  Genetic algorithms and Machine Learning , 1988, Machine Learning.

[32]  S. Jørgensen Integration of Ecosystem Theories: A Pattern , 1994, Ecology & Environment.

[33]  Peter A. Whigham,et al.  Evolving difference equations to model freshwater phytoplankton , 2000, Proceedings of the 2000 Congress on Evolutionary Computation. CEC00 (Cat. No.00TH8512).

[34]  John R. Koza,et al.  Genetic programming - on the programming of computers by means of natural selection , 1993, Complex adaptive systems.

[35]  B. Moss,et al.  Ecology of fresh waters : man and medium, past to future , 1998 .

[36]  H. Paerl Dynamics of Blue-Green Algal (Microcystis aeruginosa) Blooms in the Lower Neuse River, North Carolina: Cauative Factors and Potential Controls , 1987 .

[37]  F. Sklar,et al.  Articulation, accuracy and effectiveness of mathematical models: A review of freshwater wetland applications☆ , 1985 .

[38]  V. Cassie A contribution to the study of New Zealand diatoms , 1989 .

[39]  Alan H. Fielding,et al.  An introduction to machine learning methods , 1999 .

[40]  Colin S. Reynolds,et al.  The ecology of freshwater phytoplankton , 1984 .

[41]  G. Joo,et al.  Zooplankton Dynamics in the Hyper-Eutrophic Nakdong River System (Korea) Regulated by an Estuary Dam and Side Channels , 2001 .

[42]  Raymond P. Canale,et al.  Modeling biochemical processes in aquatic ecosystems , 1976 .

[43]  David B. Fogel,et al.  Evolutionary Computation: The Fossil Record , 1998 .

[44]  F. H. Rigler,et al.  The phosphorus‐chlorophyll relationship in lakes1,2 , 1974 .

[45]  G. Joo,et al.  Vertical distribution of Microcystis population in the regulated Nakdong River, Korea , 2000, Limnology.

[46]  B. Moss,et al.  Ecology of Fresh Waters , 1980 .