Barabas, G., Pigolotti, S., Gyllenberg, M., Dieckmann, U. ORCID: https://orcid.org/0000000170890393, & Meszena, G. (2012). Continuous coexistence or discrete species? A new review of an old question. IIASA Interim Report. IIASA, Laxenburg, Austria: IR12020

Text
IR12020.pdf Download (427kB)  Preview 
Abstract
Question: Is the coexistence of a continuum of species or ecological types possible in realworld 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 LotkaVolterra models, we carefully explain which of the presented conclusions are modelindependent.
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. nondifferentiable ingredient functions) or are structurally unstable (i.e. destroyable by arbitrarily small modifications to those ingredient functions). The dynamical stability of a continuouscoexistence 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
Item Type:  Monograph (IIASA Interim Report) 

Research Programs:  Evolution and Ecology (EEP) 
Depositing User:  IIASA Import 
Date Deposited:  15 Jan 2016 08:48 
Last Modified:  27 Aug 2021 17:23 
URI:  http://pure.iiasa.ac.at/10255 
Actions (login required)
View Item 