Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 31103
Observer Design for Ecological Monitoring

Authors: I. López , J. Garay, R. Carreño, Z. Varga


Monitoring of ecological systems is one of the major issues in ecosystem research. The concepts and methodology of mathematical systems theory provide useful tools to face this problem. In many cases, state monitoring of a complex ecological system consists in observation (measurement) of certain state variables, and the whole state process has to be determined from the observed data. The solution proposed in the paper is the design of an observer system, which makes it possible to approximately recover the state process from its partial observation. The method is illustrated with a trophic chain of resource – producer – primary consumer type and a numerical example is also presented.

Keywords: monitoring, observer system, trophic chain

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 878


[1] Metz, J. A. J. 1977. State space model for animal behaviour. Ann. Syst. Res. 6: 65-109.
[2] Metz, J. A. J. and Dickmann O. (Eds), 1986. The Dinamics of Physiologically structured Populations, Springer Lecture Notes in Biomath. 68.
[3] Kalman, R. E., Falb, P. L., Arbib, M. A., 1969. Topics in Mathematical System Theory. McGraw-Hill, New York.
[4] Zadeh, L. A. and Desoer, C. A., 1963. Linear System Theory-The State Space Approach, New York: McGraw-Hill Book Co.
[5] Chen, Ben M.; Lin, Zongli; Shamesh, Yacov A., 2004. Linear Systems Theory. A Structural Decomposition Approach. Birkhauser, Boston.
[6] Lee, E.B. and Markus, L., 1971. Foundations of Optimal Control Theory. New York-London-Sydney : Wiley.
[7] Varga, Z., Scarelli, A. and Shamandy, A., 2003. State monitoring of a population system in changing environment. Community Ecology 4 (1), 73-78.
[8] López I, Gámez M, Molnár, S., 2007a. Observability and observers in a food web. Applied Mathematics Letters 20 (8): 951-957.
[9] López, I., Gámez, M., Garay, J. and Varga, Z., 2007b. Monitoring in a Lotka-Volterra model. Biosystems, 83, 68-74.
[10] Gámez, M., López, I. and Varga, Z., 2008. Iterative scheme for the observation of a competitive Lotka-Volterra system. Applied Mathematics and Computation. 201 811-818.
[11] Gámez, M.; López, I. and Molnár, S., 2008. Monitoring environmental change in an ecosystem. Biosystems, 93, 211-217.
[12] Varga, Z., 2008. Applications of mathematical systems theory in population biology. Periodica Mathematica Hungarica. 51 (1), 157-168.
[13] Shamandy, A., 2005. Monitoring of trophic chains. Biosystems, Vol. 81, Issue 1, 43-48.
[14] Svirezhev, Yu.M. and D.O. Logofet (1983). Stability of biological communities. Mir Publishers, Moscow.
[15] Jorgensen, S., Svirezhev, Y. (Eds.), 2004. Towards a Thermodynamic Theory for Ecological Systems Pergamon
[16] Odum, E. P. 1971. Fundamentals of Ecology. 3rd ed. Saunders, Philadelphia. 574 pp.
[17] Yodzis, P. (1989). Introduction to Theoretical Ecology. Harper & Row. New York.
[18] Sundarapandian, V., 2002. Local observer design for nonlinear systems. Mathematical and computer modelling 35, 25-36.