Mixing times towards demographic equilibrium in insect populations with temperature variable age structures

Petros Damos

Theoretical Population Biology, 2015, vol. 103, issue C, 93-102

Abstract: In this study, we use entropy related mixing rate modules to measure the effects of temperature on insect population stability and demographic breakdown. The uncertainty in the age of the mother of a randomly chosen newborn, and how it is moved after a finite act of time steps, is modeled using a stochastic transformation of the Leslie matrix. Age classes are represented as a cycle graph and its transitions towards the stable age distribution are brought forth as an exact Markov chain. The dynamics of divergence, from a non equilibrium state towards equilibrium, are evaluated using the Kolmogorov–Sinai entropy. Moreover, Kullback–Leibler distance is applied as information-theoretic measure to estimate exact mixing times of age transitions probabilities towards equilibrium.

Keywords: Insect population; Matrix model; Markov chain; Entropy convergence; Demographic equilibrium (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:103:y:2015:i:c:p:93-102

DOI: 10.1016/j.tpb.2015.04.005

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