Parameter estimation of an ecological system by a neural network with residual minimization training

Ecological Modelling

Volumn 189, Issue 3-4, 2005, Pages 289-304

  Wu, Jun ^a   Fukuhara, Makoto ^a   Takeda, Tatsuoki ^a  

^a UNIVERSITY OF ELECTRO COMMUNICATIONS   (Japan)

Author keywords

Data assimilation; Delay differential equation; Neural network; Parameter estimation; Predator prey dynamics; Residual minimization training

Indexed keywords

INTEGRAL EQUATIONS; NEURAL NETWORKS; OPTIMIZATION; PARAMETER ESTIMATION;

DATA ASSIMILATION; DELAY DIFFERENTIAL EQUATION; PREDATOR-PREY DYNAMICS; RESIDUAL MINIMIZATION TRAINING;

ECOLOGY;

ARTIFICIAL NEURAL NETWORK; DATA ASSIMILATION; EQUATION; PREDATOR-PREY INTERACTION;

PROTOZOA;

EID: 27744558427     PISSN: 03043800     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ecolmodel.2005.04.013     Document Type: Article

References (20)

1. A.C. Davison, and D.V. Hinkley Bootstrap Methods and Their Application 1997 Cambridge University Press Cambridge
2. S.P. Ellner, B.E. Kendall, S.N. Wood, E. McCauley, and C.J. Briggs Inferring mechanism from time-series data: delay-differential equations Physica D 100 1997 182 194
3. S.P. Ellner, and Y. Seifu Fitting population dynamic models to time-series data by gradient matching Ecology 83 8 2002 2256 2270
4. K. Funahashi The approximate realization of continuous mapping by neural networks Neural. Netw. 2 1989 183 192
5. L.R. Ginzburg Assuming reproduction to be a function of consumption raises doubts about some popular predator-prey models J. Anim. Ecol. 67 1998 325 327
6. M.H. Hassoun Fundamentals of Artificial Neural Networks 1995 MIT Press Cambridge, MA
7. W. Horbelt, J. Timmer, and W. Mezer Estimating parameters in nonlinear differential equations with application to physiological data G. Osipenko Proceedings of DIFFEQ98: Second International Conference on Differential equation and Applications Saint Petersburg 1998 The Press of State Technical University Saint Petersburg 23 33
8. C. Jost, and S.P. Ellner Testing for predator dependence in predator-prey dynamics: a non-parametric approach Oroc. R. Soc. Lond. B 267 2000 1611 1620 Electronic Appendices to this paper (http://www.pubs.royalsoc.ac.uk )
9. A. Liaqat, M. Fukuhara, and T. Takeda Application of neural network collocation method to data assimilation Comput. Phys. Commun. 141 2001 350 364
10. A. Liaqat, M. Fukuhara, and T. Takeda Optimal estimation of parameters of dynamical systems by neural network collocation method Comput. Phys. Commun. 150 2003 215 234
11. A. Liaqat, M. Fukuhara, and T. Takeda Applying a neural network collocation method to an incompletely known dynamical system via weak constraint data assimilation Mon. Weather Rev. 131 2003 1696 1714
12. X.F. Ma, M. Fukuhara, and T. Takeda Neural network CT image reconstruction method for small amount of projection data Nucl. Instr. Meth. A 449 2000 366 377
13. X.F. Ma, and T. Takeda Asymmetric Abel inversion by neural network for reconstruction of plasma density distribution Nucl. Instr. Meth. A 492 2002 178 189
14. A. Sitz, U. Schwarz, J. Kurths, and H.U. Voss Estimation of parameters and unobserved components for nonlinear systems from noisy time series Phys. Rev. E 66 2002 016210
15. T. Takeda, A. Liaqat, and M. Fukuhara Neural network with residual minimization training as a general inverse solver Proceedings of the International Workshop on Modern Science and Technology Sep. 19-20 2002 The University of Electro-Communications Tokyo 145 150
16. S. Tang, Y. Li, and Y. Wang Simultaneous equations, error-in-variable models, and model integration in system ecology Ecol. Model. 142 2001 285 294
17. S. Tang, and Y. Wang A parameter estimation program for the error-in-variable model Ecol. Model. 156 2002 225 236
18. B.G. Veilleux An analysis of the predatory interaction between paramecium and didinium J. Anim. Ecol. 48 1979 787 803
19. S.N. Wood Semi-parametric population models Aspects Appl. Biol. 53 1999 41 49
20. S.N. Wood Partially specified ecological models Ecol. Monogr. 71 2001 1 25