%0 Book Section %1 statphys23_0309 %A Lopez, C. %A Pigolotti, S. %A Hernandez-garcia, E. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K dynamics ecological ecology evolution formation pattern population statphys23 topic-10 %T Species clustering in competitive Lotka-Volterra models %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=309 %X We study the properties of general Lotka-Volterra models with competitive interactions. The intensity of the competition depends on the position of species in an abstract niche space through an interaction kernel. We show analytically and numerically that the properties of these models change dramatically when the Fourier transform of this kernel is not positive definite, due to a pattern forming instability. We estimate properties of the species distributions, such as the steady number of species and their spacings, for different types of kernels.

@incollection{statphys23_0309, abstract = {We study the properties of general Lotka-Volterra models with competitive interactions. The intensity of the competition depends on the position of species in an abstract niche space through an interaction kernel. We show analytically and numerically that the properties of these models change dramatically when the Fourier transform of this kernel is not positive definite, due to a pattern forming instability. We estimate properties of the species distributions, such as the steady number of species and their spacings, for different types of kernels.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Lopez, C. and Pigolotti, S. and Hernandez-garcia, E.}, biburl = {https://www.bibsonomy.org/bibtex/299a4eda35c2110523f857e251df19608/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {0178591623505b5fa01eb334ba7fa54e}, intrahash = {99a4eda35c2110523f857e251df19608}, keywords = {dynamics ecological ecology evolution formation pattern population statphys23 topic-10}, month = {9-13 July}, timestamp = {2007-06-20T10:16:16.000+0200}, title = {Species clustering in competitive Lotka-Volterra models}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=309}, year = 2007 }