Winter diatom blooms in a regulated river in South Korea: explanations based on evolutionary computation

SUMMARY 1. An ecological model was developed using genetic programming (GP) to predict the time-series dynamics of the diatom, Stephanodiscus hantzschii for the lower Nakdong River, South Korea. Eight years of weekly data showed the river to be hypertrophic (chl. a, 45.1 ± 4.19 l gL )1 , mean ± SE, n ¼ 427), and S. hantzschii annually formed blooms during the winter to spring flow period (late November to March). 2. A simple non-linear equation was created to produce a 3-day sequential forecast of the species biovolume, by means of time series optimization genetic programming (TSOGP). Training data were used in conjunction with a GP algorithm utilizing 7 years of limnological variables (1995–2001). The model was validated by comparing its output with measurements for a specific year with severe blooms (1994). The model accurately predicted timing of the blooms although it slightly underestimated biovolume (training r 2 ¼ 0.70, test r 2 ¼ 0.78). The model consisted of the following variables: dam discharge and storage, water temperature, Secchi transparency, dissolved oxygen (DO), pH, evaporation and silica concentration. 3. The application of a five-way cross-validation test suggested that GP was capable of developing models whose input variables were similar, although the data are randomly used for training. The similarity of input variable selection was approximately 51% between the best model and the top 20 candidate models out of 150 in total (based on both Root Mean Squared Error and the determination coefficients for the test data). 4. Genetic programming was able to determine the ecological importance of different environmental variables affecting the diatoms. A series of sensitivity analyses showed that water temperature was the most sensitive parameter. In addition, the optimal equation was sensitive to DO, Secchi transparency, dam discharge and silica concentration. The analyses thus identified likely causes of the proliferation of diatoms in ‘river-reservoir hybrids’ (i.e. rivers which have the characteristics of a reservoir during the dry season). This result provides specific information about the bloom of S. hantzschii in river systems, as well as the applicability of inductive methods, such as evolutionary computation to river-reservoir hybrid systems.

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

[2]  G. Morabito,et al.  Topical observations on centric diatoms (Bacillariophyceae, Centrales) of Lake Como (N. Italy) , 2003 .

[3]  H. M. Canter Fungal and protozoan parasites and their importance in the ecology of the phytoplankton , 1979 .

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

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

[6]  G. Ball,et al.  A Comparison of Artificial Neuronal Network and Conventional Statistical Techniques for Analysing Environmental Data , 2000 .

[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]  P. Goethals,et al.  Use of genetic algorithms to select input variables in decision tree models for the prediction of benthic macroinvertebrates , 2003 .

[10]  Marten Scheffer,et al.  PISCATOR, an individual-based model to analyze the dynamics of lake fish communities , 2002 .

[11]  Peter A. Whigham,et al.  Modelling Microcystis aeruginosa bloom dynamics in the Nakdong River by means of evolutionary computation and statistical approach , 2003 .

[12]  E. Bellinger,et al.  Ecological study of Stephanodiscus rotula during a spring diatom bloom: dynamics of intracellular elemental concentrations and correlations in relation to water chemistry, and implications for overall geochemical cycling in a temperate lake , 2003 .

[13]  G. Joo,et al.  Role of Silica in Phytoplankton Succession : An Enclosure Experiment in the Downstream Nakdong River (Mulgum) , 2000 .

[14]  Yoshihiro Suzuki,et al.  GROWTH RESPONSES OF SEVERAL DIATOM SPECIES ISOLATED FROM VARIOUS ENVIRONMENTS TO TEMPERATURE , 1995 .

[15]  Peter Goethals,et al.  Optimization of Artificial Neural Network (ANN) model design for prediction of macroinvertebrates in the Zwalm river basin (Flanders, Belgium) , 2004 .

[16]  G. Joo,et al.  Zooplankton grazing on bacteria and phytoplankton in a regulated large river (Nakdong River, Korea) , 2000 .

[17]  G. Harris Phytoplankton Ecology: Structure, Function and Fluctuation , 1986 .

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

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

[20]  Armando Blanco,et al.  A genetic algorithm to obtain the optimal recurrent neural network , 2000, Int. J. Approx. Reason..

[21]  Holger R. Maier,et al.  Flow management strategies to control blooms of the cyanobacterium, Anabaena circinalis, in the River Murray at Morgan, south Australia , 2001 .

[22]  K. Sabbe,et al.  Spring phytoplankton assemblages in and around the maximum turbidity zone of the estuaries of the Elbe (Germany), the Schelde (Belgium/The Netherlands) and the Gironde (France) , 1999 .

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

[24]  Min-Ho Jang,et al.  Winter Stephanodiscus bloom development in the Nakdong River regulated by an estuary dam and tributaries , 2003, Hydrobiologia.

[25]  G. Joo,et al.  Spatial and temporal dynamics of phytoplankton communities along a regulated river system, the Nakdong River, Korea , 2002, Hydrobiologia.

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

[27]  A. R. Zafar Seasonality of phytoplankton in some South Indian lakes , 1986, Hydrobiologia.

[28]  K Hutcheson,et al.  A test for comparing diversities based on the Shannon formula. , 1970, Journal of theoretical biology.

[29]  Antoine Guisan,et al.  Predictive habitat distribution models in ecology , 2000 .

[30]  S. S. Kilham Silicon and phosphorus growth kinetics and competitive interactions between Stephanodiscus minutes and Synedra sp.: With 1 figure and 1 table in the text , 1984 .

[31]  J. Descy,et al.  Can a community of small‐bodied grazers control phytoplankton in rivers? , 1998 .

[32]  P. Bukaveckas,et al.  Phytoplankton growth in the Ohio, Cumberland and Tennessee Rivers, USA: inter-site differences in light and nutrient limitation , 2004, Aquatic Ecology.

[33]  Md. Ahsanul Kabir,et al.  Phytoplankton primary production in a mesotrophic pond in sub-tropical Bangladesh , 1995, Hydrobiologia.

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

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

[36]  Friedrich Recknagel,et al.  Discovery of predictive rule sets for chlorophyll-a dynamics in the Nakdong River (Korea) by means of the hybrid evolutionary algorithm HEA , 2006, Ecol. Informatics.

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

[38]  Kwang-Seuk Jeong,et al.  Delayed influence of dam storage and discharge on the determination of seasonal proliferations of Microcystis aeruginosa and Stephanodiscus hantzschii in a regulated river system of the lower Nakdong River (South Korea). , 2007, Water research.

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

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

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

[42]  O. Dubovskaya,et al.  Comparative Analysis of Ecophysiological Characteristics of Stephanodiscus hantzschii Grun. in the Periods of Its Bloom in Recreational Water Bodies , 2002, Russian Journal of Ecology.

[43]  Jun Matsumoto,et al.  Summer Monsoon over the Asian Continent and Western North Pacific , 1994 .

[44]  J. Bobbin,et al.  Knowledge discovery for prediction and explanation of blue-green algal dynamics in lakes by evolutionary algorithms , 2001 .

[45]  E. Donk,et al.  TEMPERATURE EFFECTS ON SILICON‐ AND PHOSPHORUS‐LIMITED GROWTH AND COMPETITIVE INTERACTIONS AMONG THREE DIATOMS 1 , 1990 .

[46]  G. Hornberger,et al.  Modelling algal behaviour in the river thames , 1984 .

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

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

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

[50]  P. Kilham A HYPOTHESIS CONCERNING SILICA AND THE FRESHWATER PLANKTONIC DIATOMS1 , 1971 .

[51]  F. Magilligan,et al.  Changes in hydrologic regime by dams , 2005 .

[52]  Holger R. Maier,et al.  Advection, growth and nutrient status of phytoplankton populations in the lower River Murray, South Australia , 2000 .

[53]  Andrew R.G. Large,et al.  Rehabilitation of River Margins , 1994 .

[54]  C. Nalewajko PHOTOSYNTHESIS AND EXCRETION IN VARIOUS PLANKTONIC ALGAE , 1966 .

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

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

[57]  J. Finn,et al.  Streamflow regulation and fish community structure , 1988 .

[58]  J. Descy,et al.  Grazing by large river zooplankton: a key to summer potamoplankton decline? The case of the Meuse and Moselle rivers in 1994 and 1995 , 1998, Hydrobiologia.

[59]  S. Lek,et al.  Applications of artificial neural networks for patterning and predicting aquatic insect species richness in running waters , 2003 .

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

[61]  G. Joo,et al.  The phytoplankton succession in the lower part of hypertrophic Nakdong River (Mulgum), South Korea , 1998 .

[62]  Aristotelis Mantoglou,et al.  Management of coastal aquifers based on nonlinear optimization and evolutionary algorithms , 2004 .

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

[64]  Julian D. Olden,et al.  Illuminating the “black box”: a randomization approach for understanding variable contributions in artificial neural networks , 2002 .

[65]  J. A. Mechling,et al.  TEMPERATURE EFFECTS ON SILICON LIMITED GROWTH OF THE LAKE MICHIGAN DIATOM STEPHANODISCUS MINUTUS (BACILLARIOPHYCEAE) 1 , 1982 .

[66]  Wenrui Huang,et al.  Neural network modeling of salinity variation in Apalachicola River. , 2002, Water research.

[67]  R. Hecky,et al.  Hypothesized resource relationships among African planktonic diatoms , 1986 .

[68]  J. Descy,et al.  The phytoplankton community of the River Meuse, Belgium: seasonal dynamics (year 1992) and the possible incidence of zooplankton grazing , 1994, Hydrobiologia.

[69]  E. I. L. Silva,et al.  The seasonality of monsoonal primary productivity in Sri Lanka , 1987, Hydrobiologia.

[70]  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).

[71]  Friedrich Recknagel,et al.  Simulation of aquatic food web and species interactions by adaptive agents embodied with evolutionary computation: a conceptual framework , 2003 .

[72]  E. Cha,et al.  Patterning of Community Changes in Benthic Macroinvertebrates Collected from Urbanized Streams for the Short Time Prediction by Temporal Artificial Neuronal Networks , 2000 .

[73]  Young-Seuk Park,et al.  Patterning and predicting aquatic macroinvertebrate diversities using artificial neural network. , 2003, Water research.

[74]  Xin Yao,et al.  Evolving neural networks for chlorophyll-a prediction , 2001, Proceedings Fourth International Conference on Computational Intelligence and Multimedia Applications. ICCIMA 2001.

[75]  Holger R. Maier,et al.  Use of artificial neural networks for modelling cyanobacteria Anabaena spp. in the River Murray, South Australia , 1998 .

[76]  G. Benoy,et al.  Sediment accumulation and Pb burdens in submerged macrophyte beds , 1999 .