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Weak chaos, Allee points, and intermittency emerging from niche construction in population models

  • John VandermeerEmail author
Original Article
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Abstract

The idea of niche construction is regarded as an interesting, if not essential, element of population dynamics. Classical results from population biology emerge from such a formulation, such as chaotic behavior, the self-organized emergence of Allee points, critical transitions, and hysteresis. Relaxing the assumption of a descending limb in classic 1-D map representations of chaos, the application of the Pomeau–Manneville map is suggested as more realistic in some situations. This alternative formulation does not allow for the emergence of a “self-organized” Allee point but introduces a new concept to the potential behavior of populations in discrete time, intermittency sensitively dependent on initial conditions, but with a distorted form referred to as weak chaos.

Keywords

Allee Effect Chaos Discrete maps Itermittency 

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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Ecology and Evolutionary BiologyUniversity of MichiganAnn ArborUSA

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