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Vyacheslav L. Kalmykov

Publications and source records attributed to Vyacheslav L. Kalmykov.

2 recordsLinked to original sources
bioRxiv2014

A solution to the biodiversity paradox by logical deterministic cellular automata

The paradox of biological diversity is the key problem of theoretical ecology. The paradox consists in the contradiction between the competitive exclusion principle and the observed biodiversity. This principle was formulated incorrectly because of limitations of the traditional black-box models of interspecific competition. The principle is very important as the basis for understanding evolutionary processes. Our white-box multiscale models are based on logical deterministic individual-based cellular automata. This approach allows to provide an automatic deductive inference on the basis of a system of axioms and to get a direct holistic insight into the studied system. It is one of the most promising methods of artificial intelligence. Here on simplest models we show a mechanism of competitive coexistence which violates the known formulations of the competitive exclusion principle. We reformulate and generalize the competitive exclusion principle and explain why our formulations provide a solution of the biodiversity paradox. In addition, we propose a principle of competitive coexistence.\n\nGraphical abstract\n\nO_FIG O_LINKSMALLFIG WIDTH=200 HEIGHT=88 SRC=\"FIGDIR/small/006817_ufig1.gif\" ALT=\"Figure 1000\">\nView larger version (21K):\norg.highwire.dtl.DTLVardef@17f69c5org.highwire.dtl.DTLVardef@1f91196org.highwire.dtl.DTLVardef@f1ce70org.highwire.dtl.DTLVardef@12829e8_HPS_FORMAT_FIGEXP M_FIG C_FIG

Ecology↗
bioRxiv2014

On a solution of the biodiversity paradox and a competitive coexistence principle

The biodiversity paradox is the central problem in theoretical ecology. The paradox consists in the contradiction between the competitive exclusion principle and the observed biodiversity. This contradiction is the key subject of the long-standing and continuing biodiversity debates. The paradox impedes our insights into biodiversity conservation. Previously we proved that due to a soliton-like behaviour of population waves complete competitors can indefinitely coexist in one closed homogeneous habitat on one and the same limiting resource under constant conditions of environment, without any trade-offs and cooperations. As this fact violates the known formulations of the competitive exclusion principle we have reformulated the principle. Here we explain why this reformulation of the principle results in a solution of the biodiversity paradox. In addition, we generalize the competitive exclusion principle. Reasoning by contradiction, we formulate a generalized principle of competitive coexistence. These principles expand theoretical basis for biodiversity conservation and sustainable development.

Ecology↗