Details zur Publikation

Kategorie Textpublikation
Referenztyp Zeitschriften
DOI 10.1016/j.mbs.2009.11.001
Titel (primär) A correct formulation for a spatially implicit predator-prey metacommunity model
Autor dos Santos, F.A.S.; Costa, M.I.S.
Quelle Mathematical Biosciences
Erscheinungsjahr 2010
Department OESA
Band/Volume 223
Heft 2
Seite von 79
Seite bis 82
Sprache englisch
Keywords Metacommunity models; State transition models; Set relations; Bascompte and Solé's model
Abstract In order to mitigate the problem of increasing model complexity with increasing number of occupation states in spatially implicit metacommunity models, the assumption of independency among species distributions is often required. In the present paper, we show that this approach only works correctly if set relations among patch occupancy states are considered adequately. This is illustrated by means of a well-known, although incorrectly formulated, predator-prey metacommunity model devised by Bascompte and Sole [1]. We demonstrate that this model shows anomalous dynamical behavior caused by inconsistence between the model formulation and its assumptions. In order to formalize our finding we develop a corrected model formulation that accounts for the principles of set theory so that the sum of the system compartments change rate is nulled. Applying this method successfully rules out the occurrence of anomalous dynamical behavior found in the original model. Finally we discuss the implications of our findings for the accuracy of model predictions.
dauerhafte UFZ-Verlinkung
dos Santos, F.A.S., Costa, M.I.S. (2010):
A correct formulation for a spatially implicit predator-prey metacommunity model
Math. Biosci. 223 (2), 79 - 82 10.1016/j.mbs.2009.11.001