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Semiparametric change points detection using single index spatial random effects model in environmental epidemiology study

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  • Hamdy F F Mahmoud
  • Inyoung Kim

Abstract

Environmental health studies are of great interest in research to evaluate the mortality-temperature relationship by adjusting spatially correlated random effects as well as identifying significant change points in temperature. However, this relationship is often not expressed using parametric models, which makes identifying change points an even more challenging problem. This paper proposes a unified semiparametric approach to simultaneously identify the nonlinear mortality-temperature relationship and detect spatially-dependent change points. A unified method is proposed for the model estimation, spatially dependent change points detection, and testing whether they are significant simultaneously by a permutation-based test. We operate under the assumption that change points remain constant, yet acknowledge the uncertainty regarding their precise number. These change points are influenced by the smoothing of an unknown function, which in turn relies on a smoothing variable and spatial random effects. Consequently, the detection of change points may be influenced by spatial effects. In this paper, several simulation studies are conducted to evaluate the performance of our proposed approach. The advantages of this unified approach are demonstrated using epidemiological data on mortality and temperature.

Suggested Citation

  • Hamdy F F Mahmoud & Inyoung Kim, 2024. "Semiparametric change points detection using single index spatial random effects model in environmental epidemiology study," PLOS ONE, Public Library of Science, vol. 19(12), pages 1-21, December.
    • Handle: RePEc:plo:pone00:0315413
    DOI: 10.1371/journal.pone.0315413
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    References listed on IDEAS

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    1. Peninah Murage & Shakoor Hajat & Angie Bone, 2018. "Variation in Cold-Related Mortality in England Since the Introduction of the Cold Weather Plan: Which Areas Have the Greatest Unmet Needs?," IJERPH, MDPI, vol. 15(11), pages 1-14, November.
    2. Hamdy F. F. Mahmoud & Inyoung Kim & Ho Kim, 2016. "Semiparametric single index multi change points model with an application of environmental health study on mortality and temperature," Environmetrics, John Wiley & Sons, Ltd., vol. 27(8), pages 494-506, December.
    3. Wei Lin & K. B. Kulasekera, 2007. "Identifiability of single-index models and additive-index models," Biometrika, Biometrika Trust, vol. 94(2), pages 496-501.
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