Weak chaos, Allee points, and intermittency emerging from niche construction in population models
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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.
KeywordsAllee Effect Chaos Discrete maps Itermittency
- Lande, R., Engen, S. and Saether, B.E., 2003. Stochastic population dynamics in ecology and conservation. Oxford University Press on Demand.Google Scholar
- Murray, D.L., Cox, E.W., Ballard, W.B., Whitlaw, H.A., Lenarz, M.S., Custer, T.W., Barnett, T. and Fuller, T.K., 2006. Pathogens, nutritional deficiency, and climate influences on a declining moose population. Wildl Monogr, 166(1), pp.1–30Google Scholar
- Vandermeer J, Perfecto I (2007) The diverse faces of ecosystem engineers in agroecosystems. In: Cuddingham K, Byers JE, Wilson WG, Hastings A (eds) Ecosystem Engineering. Academic PressGoogle Scholar
- Vandermeer J, Perfecto I (2019) Complex systems in applied ecology: the case of the Green Coffee Scale. PNAS, In ReviewGoogle Scholar