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Optimal Sampling Regimes for Estimating Population Dynamics

Author

Listed:
  • Rebecca E. Atanga

    (Department of Statistical Sciences and Operations Research, Virginia Commonwealth University, Richmond, VA 23284, USA
    These authors contributed equally to this work.)

  • Edward L. Boone

    (Department of Statistical Sciences and Operations Research, Virginia Commonwealth University, Richmond, VA 23284, USA
    These authors contributed equally to this work.)

  • Ryad A. Ghanam

    (Department of Statistical Sciences and Operations Research, Virginia Commonwealth University, Richmond, VA 23284, USA
    Department of Statistical Sciences and Operations Research, Virginia Commonwealth University—Qatar, Education City, Doha 8095, Qatar
    These authors contributed equally to this work.)

  • Ben Stewart-Koster

    (Australian Rivers Institute, Griffith University, Southport 4222, Australia)

Abstract

Ecologists are interested in modeling the population growth of species in various ecosystems. Specifically, logistic growth arises as a common model for population growth. Studying such growth can assist environmental managers in making better decisions when collecting data. Traditionally, ecological data is recorded on a regular time frequency and is very well-documented. However, sampling can be an expensive process due to available resources, money and time. Limiting sampling makes it challenging to properly track the growth of a population. Thus, this design study proposes an approach to sampling based on the dynamics associated with logistic growth. The proposed method is demonstrated via a simulation study across various theoretical scenarios to evaluate its performance in identifying optimal designs that best estimate the curves. Markov Chain Monte Carlo sampling techniques are implemented to predict the probability of the model parameters using Bayesian inference. The intention of this study is to demonstrate a method that can minimize the amount of time ecologists spend in the field, while maximizing the information provided by the data.

Suggested Citation

  • Rebecca E. Atanga & Edward L. Boone & Ryad A. Ghanam & Ben Stewart-Koster, 2021. "Optimal Sampling Regimes for Estimating Population Dynamics," Stats, MDPI, vol. 4(2), pages 1-17, April.
    • Handle: RePEc:gam:jstats:v:4:y:2021:i:2:p:20-307:d:531532
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    References listed on IDEAS

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    3. F. R. Oliver, 1964. "Methods of Estimating the Logistic Growth Function," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 13(2), pages 57-66, June.
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