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Elasticity analysis of population growth: Implications of matrix model construction

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  • Giaimo, Stefano

Abstract

Elasticity analysis can help ecologists and population managers to rank demographic processes based on their relative contributions to population growth. Here, numerous studies are reviewed where results of elasticity analysis that appear to be specific to the analyzed data can, to some extent, be anticipated on the basis of how the population projection matrix (PPM) was constructed in these studies, independently, or largely so, of the parametrization of this matrix with data. Focus is on the elasticities of population growth at demographic equilibrium to the entries of a time-independent population projection matrix. An essential component in the construction of a PPM is establishing its pattern, here defined as the location of nonnegative entries of the matrix and their demographic meaning. Studies using age-classified models are reviewed separately from studies using stage-classified models. While reviewing both types of studies, several interrelated rules are recalled that can help derive a ranking of elasticities, either from the pattern of the PPM alone or in combination with very little demographic data. It is suggested that greater awareness of the existence of these rules can be beneficial for practitioners of elasticity analysis: some desired results of this analysis can at times be predicted a priori or without full parametrization of the PPM; moreover, the rules can contribute to informing decisions based on the results of elasticity analysis.

Suggested Citation

  • Giaimo, Stefano, 2025. "Elasticity analysis of population growth: Implications of matrix model construction," Ecological Modelling, Elsevier, vol. 507(C).
    • Handle: RePEc:eee:ecomod:v:507:y:2025:i:c:s0304380025001486
    DOI: 10.1016/j.ecolmodel.2025.111163
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    References listed on IDEAS

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    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.
    2. Davison, Raziel & Stadman, Marc & Jongejans, Eelke, 2019. "Stochastic effects contribute to population fitness differences," Ecological Modelling, Elsevier, vol. 408(C), pages 1-1.
    3. Åberg, Per & Svensson, Carl Johan & Caswell, Hal & Pavia, Henrik, 2009. "Environment-specific elasticity and sensitivity analysis of the stochastic growth rate," Ecological Modelling, Elsevier, vol. 220(5), pages 605-610.
    4. W. Arthur, 1982. "The Ergodic Theorems of Demography: a Simple Proof," Demography, Springer;Population Association of America (PAA), vol. 19(4), pages 439-445, November.
    5. Giaimo, Stefano, 2022. "Selection on age-specific survival: Constant versus fluctuating environment," Theoretical Population Biology, Elsevier, vol. 145(C), pages 136-149.
    6. Takada, Takenori & Kawai, Yuka, 2020. "An analysis of elasticity vector distribution specific to semelparous species using randomly generated population projection matrices and the COMPADRE Plant Matrix Database," Ecological Modelling, Elsevier, vol. 431(C).
    7. Ibrahim, Lara & Preuss, Thomas G. & Schaeffer, Andreas & Hommen, Udo, 2014. "A contribution to the identification of representative vulnerable fish species for pesticide risk assessment in Europe—A comparison of population resilience using matrix models," Ecological Modelling, Elsevier, vol. 280(C), pages 65-75.
    8. Ezard, Thomas H.G. & Coulson, Tim, 2010. "How sensitive are elasticities of long-run stochastic growth to how environmental variability is modelled?," Ecological Modelling, Elsevier, vol. 221(2), pages 191-200.
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