Present address: Division of Biology, Faculty of Life Sciences, Imperial College at Silwood Park, Ascot, Berkshire SL5 7PY, UK
A stochastic version of the Beddington-DeAngelis functional response: modelling interference for a finite number of predators
Article first published online: 7 OCT 2008
© 2008 The Authors. Journal compilation © 2008 British Ecological Society
Journal of Animal Ecology
Volume 78, Issue 1, pages 134–142, January 2009
How to Cite
Van Der Meer, J. and Smallegange, I. M. (2009), A stochastic version of the Beddington-DeAngelis functional response: modelling interference for a finite number of predators. Journal of Animal Ecology, 78: 134–142. doi: 10.1111/j.1365-2656.2008.01480.x
- Issue published online: 11 DEC 2008
- Article first published online: 7 OCT 2008
- Received 4 October 2007; accepted 29 August 2008; Handling Editor: Graeme Hays
- Carcinus maenas;
- continuous time Markov chain;
- foraging behaviour;
- interference competition;
- predator-dependent functional response
- 1The predator-dependent Beddington–DeAngelis functional response model can be considered as an extension of the prey-dependent Holling's type II functional response model, since it includes, apart from the states ‘searching for prey’ and ‘handling prey’, a third behavioural state, namely ‘mutual interference with competitors’. The model is further based upon the underlying idea of mass action, which means that it is assumed that predator and prey numbers are infinitely large.
- 2This latter assumption casts doubt on the applicability of the model to experimental situations, which have been used to estimate the underlying behavioural parameters, because such experiments are usually performed with very few competitors.
- 3Therefore, a stochastic version of the Beddington–DeAngelis model is presented which overcomes these problems. A maximum-likelihood procedure for parameter estimation is presented and applied to shore crabs foraging on blue mussels.
- 4In passing, a mistake in the derivation of the deterministic Beddington–DeAngelis model is corrected, resulting in a slightly different solution.