Abstract:
Investigation of logical deterministic cellular automata models of population dynamics allows to reveal detailed individual-based mechanisms. The search for such mechanisms is important in connection with ecological problems caused by overexploitation of natural resources, environmental pollution and climate change. Classical models of population dynamics have the phenomenological nature, as they are “black boxes”.Phenomenological models fundamentally complicate research of detailed mechanisms of ecosystem functioning. We have investigated the role of fecundity and duration of resources regeneration in mechanisms of population growth using four models of ecosystem with one species. These models are logical deterministic cellular automata and are based on physical axiomatics of excitable medium with regeneration. We have modeled catastrophic death of population arising from increasing of resources regeneration duration. It has been shown that greater fecundity accelerates population extinction. The investigated mechanisms are important for understanding mechanisms of sustainability of ecosystems and biodiversity conservation. Prospects of the presented modeling approach asa method of transparent multilevel modeling of complex systems are discussed.
Keywords:
population dynamics, cellular automata, complex systems, population catastrophes, autowaves.
Received: 25.07.2015 Revised: 12.11.2015
Document Type:
Article
UDC:519.8
Language: Russian
Citation:
L. V. Kalmykov, V. L. Kalmykov, “Investigation of individual-based mechanisms of single-species population dynamics by logical deterministic cellular automata”, Computer Research and Modeling, 7:6 (2015), 1279–1293
\Bibitem{KalKal15}
\by L.~V.~Kalmykov, V.~L.~Kalmykov
\paper Investigation of individual-based mechanisms of single-species population dynamics by logical deterministic cellular automata
\jour Computer Research and Modeling
\yr 2015
\vol 7
\issue 6
\pages 1279--1293
\mathnet{http://mi.mathnet.ru/crm293}
\crossref{https://doi.org/10.20537/2076-7633-2015-7-6-1279-1293}
Linking options:
https://www.mathnet.ru/eng/crm293
https://www.mathnet.ru/eng/crm/v7/i6/p1279
This publication is cited in the following 5 articles:
Vyacheslav L. Kalmykov, Lev V. Kalmykov, “Manifesto for transparent mathematical modeling: from ecology to general science”, Academia Biology, 2024
Lev V. Kalmykov, Vyacheslav L. Kalmykov, “A solution to the dilemma ‘limiting similarity vs. limiting dissimilarity’ by a method of transparent artificial intelligence”, Chaos, Solitons & Fractals, 146 (2021), 110814
D N Bukharov, S M Arakelian, O Ya Butkovsky, G A Evstyunin, “Granular dynamic structures of different topologies on the surface of solid materials; control of their distribution by laser treatment”, IOP Conf. Ser.: Mater. Sci. Eng., 896:1 (2020), 012138
D N Bukharov, A O Kucherik, S M Arakelian, “Models of the formation of roughness on the surface of materials and the movement of molten flows under the laser melting processes”, IOP Conf. Ser.: Mater. Sci. Eng., 896:1 (2020), 012137
I. V. Matyushkin, M. A. Zapletina, “Obzor po tematike kletochnykh avtomatov na baze sovremennykh otechestvennykh publikatsii”, Kompyuternye issledovaniya i modelirovanie, 11:1 (2019), 9–57