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Thirteen years of monitoring an alpine short-lived perennial: Novel methods disprove the former assessment of population viability

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  • Logofet, Dmitrii O.
  • Golubyatnikov, Leonid L.
  • Kazantseva, Elena S.
  • Belova, Iya N.
  • Ulanova, Nina G.

Abstract

Our former assessment of viability in a local population of Androsace albana, an alpine short-lived perennial plant species (Logofet et al., 2020b), relied upon 10-year observations of the population structure on permanent sample plots and the corresponding, time-inhomogeneous, matrix model of stage-structured population dynamics. We applied a concept of the population in a random environment and its stochastic growth rate (λS) estimated by a Monte Carlo technique under the so-called “i.i.d.” mode of randomness, a simple model popular in the literature, meaning independent, identically distributed environments. All the Monte Carlo tests resulted in the estimates of λS < 1, meaning a negative forecast of population viability. A recent expansion of the monitoring period up to 13 years has now been combined with a more realistic model of randomness, namely, a Markov chain of changes in the environment that is recovered from a longer time-series of a local weather index correlated with variations in the asymptotic growth rate (λ1) of the model population within the 13-year period. The former design of Monte Carlo tests with the updated time series of λ1s and the realistic model of randomness have principally changed the viability assessment to λS > 1, whereas the i.i.d. tests have still resulted in λS < 1, i.e., a qualitatively opposite forecast of population viability.

Suggested Citation

  • Logofet, Dmitrii O. & Golubyatnikov, Leonid L. & Kazantseva, Elena S. & Belova, Iya N. & Ulanova, Nina G., 2023. "Thirteen years of monitoring an alpine short-lived perennial: Novel methods disprove the former assessment of population viability," Ecological Modelling, Elsevier, vol. 477(C).
  • Handle: RePEc:eee:ecomod:v:477:y:2023:i:c:s0304380022003064
    DOI: 10.1016/j.ecolmodel.2022.110208
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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. Sanz, Luis, 2019. "Conditions for growth and extinction in matrix models with environmental stochasticity," Ecological Modelling, Elsevier, vol. 411(C).
    3. Logofet, Dmitrii O., 2013. "Projection matrices in variable environments: λ1 in theory and practice," Ecological Modelling, Elsevier, vol. 251(C), pages 307-311.
    4. Logofet, Dmitrii O. & Kazantseva, Elena S. & Onipchenko, Vladimir G., 2020. "Seed bank as a persistent problem in matrix population models: From uncertainty to certain bounds," Ecological Modelling, Elsevier, vol. 438(C).
    5. Logofet, Dmitrii O., 2019. "Does averaging overestimate or underestimate population growth? It depends," Ecological Modelling, Elsevier, vol. 411(C).
    6. Dmitrii O. Logofet & Leonid L. Golubyatnikov & Nina G. Ulanova, 2020. "Realistic Choice of Annual Matrices Contracts the Range of λ S Estimates," Mathematics, MDPI, vol. 8(12), pages 1-15, December.
    7. Nguyen, Vuong & Buckley, Yvonne M. & Salguero-Gómez, Roberto & Wardle, Glenda M., 2019. "Consequences of neglecting cryptic life stages from demographic models," Ecological Modelling, Elsevier, vol. 408(C), pages 1-1.
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    1. Dmitrii O. Logofet, 2023. "Pattern-Multiplicative Average of Nonnegative Matrices Revisited: Eigenvalue Approximation Is the Best of Versatile Optimization Tools," Mathematics, MDPI, vol. 11(14), pages 1-12, July.

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