Cited by 17Mathematical and Theoretical Epidemiology and Ecology ModelsEcology and Vegetation Dynamics StudiesCellular Automata and Applications

A solution to the biodiversity paradox by logical deterministic cellular automata

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Kalmykov, Lev V., Kalmykov, Vyacheslav L.·2015·Acta Biotheoretica

Published version of a preprint

Abstract

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. The principle is important as the basis for ecological theory. On a relatively simple model we show a mechanism of indefinite coexistence of complete competitors which violates the known formulations of the competitive exclusion principle. This mechanism is based on timely recovery of limiting resources and their spatio-temporal allocation between competitors. Because of limitations of the black-box modeling there was a problem to formulate the exclusion principle correctly. Our white-box multiscale model of two-species competition is based on logical deterministic individual-based cellular automata. This approach provides an automatic deductive inference on the basis of a system of axioms, and gives a direct insight into mechanisms of the studied system. It is one of the most promising methods of artificial intelligence. We reformulate and generalize the competitive exclusion principle and explain why this formulation provides a solution of the biodiversity paradox. In addition, we propose a principle of competitive coexistence.

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Crossref · 10.1007/s10441-015-9257-9

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Authors
Kalmykov, L. V., & Kalmykov, V. L.
Affiliations
Russian Academy of Sciences (RU)
Corresponding author
Kalmykov, Vyacheslav L.
Venue
Acta Biotheoretica
Published
2015-05-16
Volume
63
Issue
2
Pages
203-221
ISSN
  • 0001-5342 (ISSN-L)
  • 1572-8358
OpenAlex
W2950631708
Cited by
17
References
32
Citations by year
2025: 3 · 2024: 1 · 2023: 1 · 2021: 1 · 2020: 2 · 2019: 1 · 2017: 4 · 2016: 3 · 2015: 1
FWCI
2.86
Type
journal article
Language
en
Open access
Locations
  • Acta Biotheoretica (publishedVersion)
  • bioRxiv (Cold Spring Harbor Laboratory) (acceptedVersion)
  • PubMed (publishedVersion)
Topics
  • Health Sciences › Medicine › Public Health, Environmental and Occupational Health › Mathematical and Theoretical Epidemiology and Ecology Models
  • Physical Sciences › Environmental Science › Nature and Landscape Conservation › Ecology and Vegetation Dynamics Studies
  • Physical Sciences › Computer Science › Computational Theory and Mathematics › Cellular Automata and Applications
Keywords
competitive exclusion, competitive coexistence, two-species competition, resource recovery, multiscale modeling, white-box modeling, deductive reasoning
MeSH terms
Cell Physiological Phenomena, Models, Theoretical, Population Dynamics, Species Specificity, Ecosystem, Biodiversity

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