Population consequences of the competition of variable individuals under various of resource dynamics

Authors

  • Janusz Uchmański Cardinal Stefan Wyszynski University

DOI:

https://doi.org/10.17161/eurojecol.v10i2.21706

Keywords:

individual-based model, individual variability, population dynamics, unlimited resource growth, limited resource growth

Abstract

Individual-based model of the dynamics of population with non-overlapping generation and explicitly introduced resources which are unequal partitioned  between competing individuals is analysed. It is investigated how individual variability in assimilation of different kinds of resources influences population dynamics. Following kinds of resources are considered: unlimited resources with linear or exponential growth and limited resources growing logistically or with seasonal dynamics. When resources are unlimited population dynamics exhibits oscillations of number of individuals and resources which sooner or later end in extinction of the population. An increase of individual variability increases extinction time. Population dynamics is different when resources growth is limited. Number of individuals in the population initially increases until a certain level is reached, then fluctuates around that level. However, still greater individual variability guarantees greater persistence of the population, especially in rich environments.

References

Bazykin A. D. (1985) Matematiceskaja biofizika vzaimodejstvujuscih populacji. Moscow: Nauka (in Russian).

Begon M. & Mortimer M. (1996) Population ecology. A unified study of animals and plants. Sunderland: Sinauer Associates Inc., Publishers.

Duncan A. & Klekowski R. Z. (1975) Parameters of energy budgets. In: W. Grodziński, R. Z. Klekowski, A. Duncan (eds) Methods of Ecological Bioenergetics (pp. 97-147). Oxford : Blackwell Scientific Publications.

Grimm V. & Uchmański J. (2002) Individual variability and population regulation: a model of significance of within-generation density dependence. Oecologia 131: 196-202.

Ivlev V. S. (1961) Experimental Ecology of the Feeding of Fishes. New Haven: Yale University Press.

Jobling M. (1993) Bioenergetics: food intake and energy partitioning. In: J. C. Rankin, F. B. & Jensen (eds) Fish ecophysiology (pp. 1-44). New York: Chapman and Hall.

Kaliszewicz A., Jost K., Grimm V., Uchmański J. (2005) Predation effects on the evolution of life-history traits in a clonal oligochaete. The American Naturalist, 166: 409-417.

Kalmykov L. V. & Kalmykov V. L. (2015) A white-box model of S-shaped and double S-shaped single-species population growth. PeerJ 3:e948; DOI 10.7717/peerj.948.

Kalmykov V. L. & Kalmykov L. V. (2024) Manifesto for transparent mathematical modeling: from ecology to general science. Academia Biology, https:/doi.org/10.20935/AcadBiol6166.

Łomnicki A. (1988) Population ecology of individuals. Princeton: Princeton University Press.

Majkowski J & Uchmański J (1980) Theoretical foundations of individual growth equations. Polish Ecological Studies 6:7-31.

May R. (ed.) (1976) Theoretical ecology. Principles and applications. Oxford: Blackwell Scientific Publications.

Maynard Smith J. (1974) Models in ecology. Cambridge: Cambridge University Press.

Murray J. D. (1990) Mathematical biology. Berlin: Springer-Verlag.

Nakano S. (1995) Individual differences in resource use, growth and emigration under the influence of a dominance hierarchy in fluvial red-spotted masu salmon in a natural habitat. Journal of Animal Ecology 64: 75-84.

Nicholson A. J. (1933) The balance of animal population. Journal of Animal Ecology 178, 2: 132-148.

Pianka E. R. (1966) Latitudinal gradients in species diversity: a review of concepts. American

Naturalist 100: 33-46.

Pielou E. C. (1977)Mathematical ecology. New York: John Wiley & Sons.

Petrusiewicz K. (1978) Osobnik, populacja, gatunek. Warszawa: Państwowe Wydawnictwo Naukowe (in Polish).

Striganova B. R. & Porjadina N. M. (005) Zivotnoje naselenije pocv borealnyh lesov Zapadno-Sibirskoj ravniny. Moscow: KMK Scientific (in Russian).

Tilman D. (1977) Resource competition between planktonic algae: an experimental and theoretical approach. Ecology 58: 338-348.

Tilman D. (1982) Resource competition and community structure. Princeton: Princeton University Press.

Uchmański J. (1985) Differentiation and frequency distributions of body weights in plants and animals. Philosophical Transactions of Royal Society of London Ser. B 310: 175.

Uchmański J. (1987) Resource partitioning among unequal competitors. Ekologia Polska 35,1: 71-87.

Uchmański J. (1999) What promotes persistence of a single population: an individual-based model. Ecological Modelling 115: 227-241.

Uchmański J. (2000) Individual variability and population regulation: an individual-based. Oikos 90: 539-548.

Uchmański J. (2019) Cyclic outbreaks of forest insects: a two-dimensional individual-based model. Theoretical Population Biology 128: 1-18.

Uchmański J. (2023) Catastrophic dynamics: how to avoid population extinction? Ecological Modelling 483. DOI: http//doi.org/10.1016/j.ecolmodel.2023.110438

Uchmański J. & Dgebuadze J. (1990) Factors effecting skewness of weight distributions in even-aged populations: a numerical model. Polish Ecological Studies 16: 297-311.

Uvarov B. P. (1931) Insects and climate. Transactions of the Royal Entomological Society of London. 79: 174-186.

Wissel Ch. (1989) Theoretische öekologie. Berlin: Springer-Verlag, Berlin.

Weiner J. (1990) Asymmetric competition in plant populations. Trends in Ecology and Evolution 5: 360-364.

Wyszomirski T. (1992) Detecting and displaying size bimodality: kurtosis, skweness and bimodalizable distributions. Journal of Theoretical Biology 158: 109-128.

Wyszomirski T., Wyszomirska I., Jerzyna I. (1999) Simple mechanism of size distribution dynamics in crowded and uncrowded virtual monocultures. Ecological Modelling 115: 253-273.

Yamagishi H. (1969) Postembrional growth and its variability of the tree marine fishes with special reference to mechanism of growth variability in fishes. Researches in Population Ecology 11: 14-33.

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Published

2024-10-09

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How to Cite

Uchmański, J. (2024). Population consequences of the competition of variable individuals under various of resource dynamics. European Journal of Ecology, 10(2). https://doi.org/10.17161/eurojecol.v10i2.21706