Continuous coexistence or discrete species? A new review of an old question

10255 15 13647 2 23902 document 13647 IR-12-020.pdf application/pdf 70f2e27e4550ac64b71b0eb68191cc5b MD5 427259 2016-01-15 08:48:13 https://pure.iiasa.ac.at/id/eprint/10255/1/IR-12-020.pdf 10255 1 1 text en public

IR-12-020.pdf

15 14643 1 26373 document 14643 indexcodes.txt text/x-c++ 6ab84c7eade3e36e7b7ae95241827000 MD5 17312 2016-01-15 09:53:35 https://pure.iiasa.ac.at/id/eprint/10255/2/indexcodes.txt 10255 2 2 text/x-c++ other Generate index codes conversion from text to indexcodes en public

indexcodes.txt

lightbox.jpg

preview.jpg

medium.jpg

small.jpg

IR-12-020.pdf

http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/13647 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/13647 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/13647 archive 351 disk0/00/01/02/55 2016-01-15 08:48:13 2021-08-27 17:23:00 2016-01-15 08:48:13 monograph show 3 Barabas G. Pigolotti S. Gyllenberg M. Dieckmann U. 1668 0000-0001-7089-0393 Meszena G. Continuous coexistence or discrete species? A new review of an old question pub iis_ecl prog_eep Question: Is the coexistence of a continuum of species or ecological types possible in real-world communities? Or should one expect distinctly different species? Mathematical methods: We study whether the coexistence of species in a continuum of ecological types is (a) dynamically stable (against changes in population densities) and (b) structurally robust (against changes in population dynamics). Since most of the reviewed investigations are based on Lotka-Volterra models, we carefully explain which of the presented conclusions are model-independent. mathematical conclusions: Seemingly plausible models with dynamically stable continuous- coexistence solutions do exist. However, these models either depend on biologically unrealistic mathematical assumptions (e.g. non-differentiable ingredient functions) or are structurally unstable (i.e. destroyable by arbitrarily small modifications to those ingredient functions). The dynamical stability of a continuous-coexistence solution, if it exists, requires positive definiteness of the model's competition kernel. Biological conclusions: While the classical expectation of fixed limits to similarity is mathematically naive, the fundamental discreteness of species is a natural consequence of the basic structure of ecological interaction 2012 published IR-12-020 IR-12-020 66 public interim_report IIASA, Laxenburg, Austria 33 FALSE info:eu-repo/semantics/book