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Linking error measures to model questions

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  • Jacobs, Bas
  • Tobi, Hilde
  • Hengeveld, Geerten M.

Abstract

Models for forecasting various ecosystem properties have great potential that comes with a need for model validation. Before we can perform such validation, we need to define what it means for the model to perform well, which depends on the question being asked. Often, it seems easy to ignore the model question and take a standard well-known error measure for comparing the model to the available data. The question is whether this practice is adequate. Here, we defined different types of model-data mismatches that may be more or less relevant to different types of questions. We show that error measures differ in their sensitivity to the type of mismatch and robustness to sparse and noisy data. The results imply that a careful selection of error measures, using a clearly defined ecological question as a starting point, is vital to proper model evaluation. While we present our results as generally applicable to the validation of any type of forecasting model, we also illustrate them using cyanobacterial bloom modelling as a detailed example of a case where different questions could be asked of the same model.

Suggested Citation

  • Jacobs, Bas & Tobi, Hilde & Hengeveld, Geerten M., 2024. "Linking error measures to model questions," Ecological Modelling, Elsevier, vol. 487(C).
  • Handle: RePEc:eee:ecomod:v:487:y:2024:i:c:s0304380023002922
    DOI: 10.1016/j.ecolmodel.2023.110562
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    References listed on IDEAS

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    1. Diamantis Koutsandreas & Evangelos Spiliotis & Fotios Petropoulos & Vassilios Assimakopoulos, 2022. "On the selection of forecasting accuracy measures," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 73(5), pages 937-954, May.
    2. Chao Chen & Jamie Twycross & Jonathan M Garibaldi, 2017. "A new accuracy measure based on bounded relative error for time series forecasting," PLOS ONE, Public Library of Science, vol. 12(3), pages 1-23, March.
    3. Saloranta, Tuomo M. & Andersen, Tom, 2007. "MyLake—A multi-year lake simulation model code suitable for uncertainty and sensitivity analysis simulations," Ecological Modelling, Elsevier, vol. 207(1), pages 45-60.
    4. James W. Taylor & Keming Yu, 2016. "Using auto-regressive logit models to forecast the exceedance probability for financial risk management," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 179(4), pages 1069-1092, October.
    5. Janssen, Annette B.G. & Teurlincx, Sven & Beusen, Arthur H.W. & Huijbregts, Mark A.J. & Rost, Jasmijn & Schipper, Aafke M. & Seelen, Laura M.S. & Mooij, Wolf M. & Janse, Jan H., 2019. "PCLake+: A process-based ecological model to assess the trophic state of stratified and non-stratified freshwater lakes worldwide," Ecological Modelling, Elsevier, vol. 396(C), pages 23-32.
    6. Hyndman, Rob J. & Koehler, Anne B., 2006. "Another look at measures of forecast accuracy," International Journal of Forecasting, Elsevier, vol. 22(4), pages 679-688.
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    1. Jacobs, Bas & van Voorn, George & van Heijster, Peter & Hengeveld, Geerten M., 2024. "Consequences of alternative stable states for short-term model-based control of cyanobacterial blooms," Ecological Modelling, Elsevier, vol. 491(C).

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