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Environmental dimensionality.

Kalle Parvinen1, Ulf Dieckmann1

  • 1Department of Mathematics and Statistics, University of Turku, FIN-20014 Finland.

Journal of Theoretical Biology
|March 20, 2018
PubMed
Summary
This summary is machine-generated.

The environmental feedback dimension, lower than the number of regulating variables, predicts species coexistence. This dimension is determined by analyzing species impacts and population growth sensitivities, offering ecological insights.

Keywords:
Competitive exclusionFitness proxyImpactPopulation regulationSensitivity

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Area of Science:

  • Ecology
  • Theoretical Ecology
  • Mathematical Biology

Background:

  • The competitive exclusion principle states that the number of regulating variables (n) bounds the number of coexisting species.
  • Models can sometimes use fewer regulating variables, defined by the environmental feedback dimension.

Purpose of the Study:

  • To investigate methods for determining the environmental feedback dimension.
  • To analyze the relationship between environmental feedback dimension and species coexistence.

Main Methods:

  • Analyzing the two components of environmental feedback: the impact map and the sensitivity map.
  • Demonstrating the independence of the local sensitivity dimension from the choice of population growth measure.
  • Defining and analyzing impact dimension and sensitivity dimension.

Main Results:

  • The local sensitivity dimension is well-defined and independent of specific population growth measures.
  • Impact dimension is reduced when the feasible environment set has lower dimension than n.
  • Sensitivity dimension is reduced when not all environmental variables independently affect population growth sign.

Conclusions:

  • The environmental feedback dimension provides crucial information for predicting potential species coexistence.
  • The combined effects of impact and sensitivity dimensions can lead to a lower environmental dimension than initially suggested by n.