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

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  • Damos, Petros

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.

Suggested Citation

  • Damos, Petros, 2015. "Mixing times towards demographic equilibrium in insect populations with temperature variable age structures," Theoretical Population Biology, Elsevier, vol. 103(C), pages 93-102.
    • Handle: RePEc:eee:thpobi:v:103:y:2015:i:c:p:93-102
    DOI: 10.1016/j.tpb.2015.04.005
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    1. Robert Schoen & Young Kim, 1991. "Movement toward stability as a fundamental principle of population dynamics," Demography, Springer;Population Association of America (PAA), vol. 28(3), pages 455-466, August.
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