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Improving Detection of Changepoints in Short and Noisy Time Series with Local Correlations: Connecting the Events in Pixel Neighbourhoods

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Listed:
  • Tuomas Rajala

    (Natural Resources Institute Finland (Luke))

  • Petteri Packalen

    (Natural Resources Institute Finland (Luke))

  • Mari Myllymäki

    (Natural Resources Institute Finland (Luke))

  • Annika Kangas

    (Natural Resources Institute Finland (Luke))

Abstract

Detecting changepoints in time series becomes difficult when the series are short and the observation variance is high. In the context of time series of environmental resource maps, it is often safe to assume that the abrupt events are spatially continuous, and so are the changepoints. We propose to utilise this assumption by means of hierarchical models where the changepoints are modelled using a spatial model. We demonstrate utility of the approach by constructing a Bayesian model based on the Potts model, with additional assumptions relevant to changepoint detection in national multi-source forest inventory maps. We discuss implementation issues and demonstrate the idea’s performance using a simulation study. We then apply the model to forest resource maps in order to detect felling events.

Suggested Citation

  • Tuomas Rajala & Petteri Packalen & Mari Myllymäki & Annika Kangas, 2023. "Improving Detection of Changepoints in Short and Noisy Time Series with Local Correlations: Connecting the Events in Pixel Neighbourhoods," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 28(3), pages 564-590, September.
    • Handle: RePEc:spr:jagbes:v:28:y:2023:i:3:d:10.1007_s13253-023-00546-1
    DOI: 10.1007/s13253-023-00546-1
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    References listed on IDEAS

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    1. Yudong Chen & Tengyao Wang & Richard J. Samworth, 2022. "High‐dimensional, multiscale online changepoint detection," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 84(1), pages 234-266, February.
    2. Michael Messer & Stefan Albert & Gaby Schneider, 2018. "The multiple filter test for change point detection in time series," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 81(6), pages 589-607, August.
    3. Sean Jewell & Paul Fearnhead & Daniela Witten, 2022. "Testing for a change in mean after changepoint detection," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 84(4), pages 1082-1104, September.
    4. Chen, Yudong & Wang, Tengyao & Samworth, Richard J., 2022. "High-dimensional, multiscale online changepoint detection," LSE Research Online Documents on Economics 113665, London School of Economics and Political Science, LSE Library.
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