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On second order sensitivity for stage-based population projection matrix models

Author

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  • McCarthy, Dominic
  • Townley, Stuart
  • Hodgson, Dave

Abstract

In this paper we present a simple method for identifying life-history perturbations in population projection matrices that yield an accelerating population growth rate. Accelerating growth means that the dependence of the growth rate on the perturbation is convex. Convexity, when the second sensitivity of the growth rate is positive, is calculated using a new formula derived from the transfer function of the perturbed system. This formula is used to explore the relationship between stasis and growth probabilities from stage-structured population projection matrices.

Suggested Citation

  • McCarthy, Dominic & Townley, Stuart & Hodgson, Dave, 2008. "On second order sensitivity for stage-based population projection matrix models," Theoretical Population Biology, Elsevier, vol. 74(1), pages 68-73.
    • Handle: RePEc:eee:thpobi:v:74:y:2008:i:1:p:68-73
    DOI: 10.1016/j.tpb.2008.04.008
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    Cited by:

    1. Kendall, Bruce E. & Fujiwara, Masami & Diaz-Lopez, Jasmin & Schneider, Sandra & Voigt, Jakob & Wiesner, Sören, 2019. "Persistent problems in the construction of matrix population models," Ecological Modelling, Elsevier, vol. 406(C), pages 33-43.

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