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The effect of harvesting on the spatial synchrony of population fluctuations

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  • Engen, Steinar
  • Cao, Francisco J.
  • Sæther, Bernt-Erik

Abstract

Harvesting in space affects, in general, the spatial scale of the synchrony in the population fluctuations, which determines the size of the areas subjected to simultaneous quasi-extinction risk. Here we show that harvesting reduces the population synchrony scale if it depends more strongly on population fluctuations than the density dependence of the growth rate in the absence of harvesting. We show that constant and proportional harvesting always increases the spatial scale, using a theta-logistic model for density regulation. We also provide exact scaling results under harvesting for the Beverton–Holt and the Ricker stock-recruitment models that are commonly applied, e.g. in fisheries. Our results indicate that harvest in areas with large abundances should be encouraged to avoid increase of the spatial scale of synchrony in the population fluctuations that can lead to unexpected quasi-extinction of populations over large areas. Our results quantify this harvesting impact giving the resulting scales of spatial synchrony of population fluctuations. This emphasizes the importance of estimating the form of density dependence as well as the dependency of harvest upon population density of exploited populations, in order to get reliable predictions of the size of areas that can undergo simultaneous quasi-extinction.

Suggested Citation

  • Engen, Steinar & Cao, Francisco J. & Sæther, Bernt-Erik, 2018. "The effect of harvesting on the spatial synchrony of population fluctuations," Theoretical Population Biology, Elsevier, vol. 123(C), pages 28-34.
    • Handle: RePEc:eee:thpobi:v:123:y:2018:i:c:p:28-34
    DOI: 10.1016/j.tpb.2018.05.001
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    References listed on IDEAS

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    1. Reed, William J., 1979. "Optimal escapement levels in stochastic and deterministic harvesting models," Journal of Environmental Economics and Management, Elsevier, vol. 6(4), pages 350-363, December.
    2. Engen, Steinar, 2017. "Spatial synchrony and harvesting in fluctuating populations:Relaxing the small noise assumption," Theoretical Population Biology, Elsevier, vol. 116(C), pages 18-26.
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    Cited by:

    1. Karim, Md Aktar Ul & Aithal, Vikram & Bhowmick, Amiya Ranjan, 2023. "Random variation in model parameters: A comprehensive review of stochastic logistic growth equation," Ecological Modelling, Elsevier, vol. 484(C).

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