IDEAS home Printed from https://ideas.repec.org/a/gam/jstats/v4y2021i2p20-307d531532.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2571-905X/4/2/20/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2571-905X/4/2/20/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. D Williamson & M Goldstein, 2012. "Bayesian policy support for adaptive strategies using computer models for complex physical systems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(8), pages 1021-1033, August.
    3. Lin, Bo-qiang & Liu, Jiang-hua, 2010. "Estimating coal production peak and trends of coal imports in China," Energy Policy, Elsevier, vol. 38(1), pages 512-519, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Catherine Bobtcheff & Christian Gollier & Richard Zeckhauser, 2008. "Resource allocations when projects have ranges of increasing returns," Journal of Risk and Uncertainty, Springer, vol. 37(1), pages 93-93, August.
    2. Lin, Boqiang & Liu, Jianghua & Yang, Yingchun, 2012. "Impact of carbon intensity and energy security constraints on China's coal import," Energy Policy, Elsevier, vol. 48(C), pages 137-147.
    3. Tang, Erzi & Peng, Chong, 2017. "A macro- and microeconomic analysis of coal production in China," Resources Policy, Elsevier, vol. 51(C), pages 234-242.
    4. Lin, Boqiang & Ouyang, Xiaoling, 2014. "Analysis of energy-related CO2 (carbon dioxide) emissions and reduction potential in the Chinese non-metallic mineral products industry," Energy, Elsevier, vol. 68(C), pages 688-697.
    5. Zhang, Yujiang & Feng, Guorui & Zhang, Min & Ren, Hongrui & Bai, Jinwen & Guo, Yuxia & Jiang, Haina & Kang, Lixun, 2016. "Residual coal exploitation and its impact on sustainable development of the coal industry in China," Energy Policy, Elsevier, vol. 96(C), pages 534-541.
    6. Yang, D.L. & Tang, G.H. & Fan, Y.H. & Li, X.L. & Wang, S.Q., 2020. "Arrangement and three-dimensional analysis of cooling wall in 1000 MW S–CO2 coal-fired boiler," Energy, Elsevier, vol. 197(C).
    7. Xu Tang & Benjamin C. McLellan & Simon Snowden & Baosheng Zhang & Mikael Höök, 2015. "Dilemmas for China: Energy, Economy and Environment," Sustainability, MDPI, vol. 7(5), pages 1-13, May.
    8. Yu Hao & Shang Gao & Yunxia Guo & Zhiqiang Gai & Haitao Wu, 2021. "Measuring the nexus between economic development and environmental quality based on environmental Kuznets curve: a comparative study between China and Germany for the period of 2000–2017," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 23(11), pages 16848-16873, November.
    9. Gardebroek, Cornelis & Jongeneel, Roelof A., 2004. "The Growth In Organic Agriculture: Temporary Shift Or Structural Change?," 2004 Annual meeting, August 1-4, Denver, CO 20074, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    10. Lin, Boqiang & Wang, Ting, 2012. "Forecasting natural gas supply in China: Production peak and import trends," Energy Policy, Elsevier, vol. 49(C), pages 225-233.
    11. Zehua Yu & Zheng Li & Linwei Ma, 2023. "Strategies for the Resilience of Power-Coal Supply Chains in Low-Carbon Energy Transition: A System Dynamics Model and Scenario Analysis of China up to 2060," Sustainability, MDPI, vol. 15(9), pages 1-19, April.
    12. Chengjin Wang & César Ducruet, 2014. "Transport corridors and regional balance in China: the case of coal trade and logistics," Post-Print halshs-01069149, HAL.
    13. Höök, Mikael & Tang, Xu, 2013. "Depletion of fossil fuels and anthropogenic climate change—A review," Energy Policy, Elsevier, vol. 52(C), pages 797-809.
    14. Wang, Jianliang & Feng, Lianyong & Tverberg, Gail E., 2013. "An analysis of China's coal supply and its impact on China's future economic growth," Energy Policy, Elsevier, vol. 57(C), pages 542-551.
    15. Wang, Jianzhou & Jiang, Haiyan & Zhou, Qingping & Wu, Jie & Qin, Shanshan, 2016. "China’s natural gas production and consumption analysis based on the multicycle Hubbert model and rolling Grey model," Renewable and Sustainable Energy Reviews, Elsevier, vol. 53(C), pages 1149-1167.
    16. Wu, X.F. & Chen, G.Q., 2018. "Coal use embodied in globalized world economy: From source to sink through supply chain," Renewable and Sustainable Energy Reviews, Elsevier, vol. 81(P1), pages 978-993.
    17. Sivek, Martin & Jirásek, Jakub & Kavina, Pavel & Vojnarová, Markéta & Kurková, Tereza & Bašová, Andrea, 2020. "Divorce after hundreds of years of marriage: Prospects for coal mining in the Czech Republic with regard to the European Union," Energy Policy, Elsevier, vol. 142(C).
    18. Chang, Byeong-Yun & Li, Xu & Kim, Yun Bae, 2014. "Performance comparison of two diffusion models in a saturated mobile phone market," Technological Forecasting and Social Change, Elsevier, vol. 86(C), pages 41-48.
    19. Shang, Yizi & Hei, Pengfei & Lu, Shibao & Shang, Ling & Li, Xiaofei & Wei, Yongping & Jia, Dongdong & Jiang, Dong & Ye, Yuntao & Gong, Jiaguo & Lei, Xiaohui & Hao, Mengmeng & Qiu, Yaqin & Liu, Jiahong, 2018. "China’s energy-water nexus: Assessing water conservation synergies of the total coal consumption cap strategy until 2050," Applied Energy, Elsevier, vol. 210(C), pages 643-660.
    20. Syed Aziz Ur Rehman & Yanpeng Cai & Nayyar Hussain Mirjat & Gordhan Das Walasai & Izaz Ali Shah & Sharafat Ali, 2017. "The Future of Sustainable Energy Production in Pakistan: A System Dynamics-Based Approach for Estimating Hubbert Peaks," Energies, MDPI, vol. 10(11), pages 1-24, November.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jstats:v:4:y:2021:i:2:p:20-307:d:531532. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.