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November 24, 2021Journal of Advances in Modeling Earth SystemsOpen Access

Mean Squared Error, Deconstructed

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Authors

THTimothy HodsonNorthern Illinois UniversityTOThomas M. OverUnited States Geological SurveySFSydney S. FoksUnited States Geological Survey

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Implication

Modeling analysis demonstrates interpretable error decomposition across 1,021 continental streamflow monitoring sites, highlighting an objective alternative to subjective composite metrics.

Key Points

  • To establish and validate a mathematical framework for decomposing mean squared error into distinct, interpretable components for objective model evaluation and benchmarking.
  • Formulated mathematical decompositions that isolate discrete error components, such as seasonality and variance, from overall mean squared error.
  • Evaluated the decomposition method using predictions from three streamflow models across 1,021 streamgages located throughout the conterminous United States.
  • Decompositions effectively partitioned aggregate error into discrete, physically meaningful concepts without requiring subjective composite error scoring.
  • Demonstrated that combining basic error components can systematically represent complex dynamical behaviors, including seasonal variability, across diverse hydrological monitoring stations.

Cite This Study

Hodson et al. (2021) studied this question.

synapsesocial.com/papers/69ea11ebaf6bc739daa81a6fhttps://doi.org/10.1029/2021ms002681
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