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Article overview
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On the robustness of Gaussian competition in niche models | | Simone Pigolotti
; Cristobal Lopez
; Emilio Hernandez-Garcia
; Ken Haste Andersen
; | | Date: |
22 Feb 2008 | | Abstract: | We study the classical niche model of species competing for a partially
shared resource. The final distribution of species depends on the carrying
capacity and on the shape of the competition kernel, which is usually taken to
be Gaussian (i.e. a normal distribution). We show that this choice of kernel is
delicate since the Gaussian kernel is a borderline case between a family of
competition kernels giving rise to lumpy species distributions, and another
family of kernels that (like the Gaussian itself) result in homogenous
distributions. We demonstrate how species distributions are affected by adding
ecological, evolutionary or numerical effects to the basic niche model. Finally
we discuss the influence of the choice of carrying capacity function and
ecological mechanisms which may give rise to competition kernels belonging to
the family leading to lumped species distributions. | | Source: | arXiv, 0802.3274 | | Services: | Forum | Review | PDF | Favorites | |
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