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Random forest as a generic framework for predictive modeling of spatial and spatio-temporal variables.

Tomislav Hengl1, Madlene Nussbaum2, Marvin N Wright3

  • 1Envirometrix Ltd., Wageningen, Gelderland, Netherlands.

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|September 7, 2018
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Summary

This study introduces a Random Forest for Spatial Predictions (RFsp) framework that incorporates geographical proximity into machine learning models. RFsp achieves prediction accuracy comparable to kriging, offering greater flexibility and fewer statistical assumptions for spatial data analysis.

Keywords:
GeostatisticsKrigingPedometricsPredictive modelingR statistical computingRandom forestSamplingSpatial dataSpatiotemporal data

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Area of Science:

  • Geospatial analysis
  • Machine learning
  • Environmental modeling

Background:

  • Traditional machine learning models often overlook spatial autocorrelation, potentially leading to biased predictions.
  • Ignoring geographical location in spatial predictions can result in suboptimal model performance and unreliable outputs.

Purpose of the Study:

  • To present a novel Random Forest for Spatial Predictions (RFsp) framework that integrates geographical proximity into the modeling process.
  • To evaluate the performance of RFsp against state-of-the-art kriging techniques for various spatial and spatio-temporal prediction tasks.

Main Methods:

  • Developed the RFsp framework using buffer distances from observation points as explanatory variables.
  • Applied RFsp to textbook datasets for numeric, binary, categorical, multivariate, and spatio-temporal predictions.
  • Compared RFsp performance with kriging using fivefold cross-validation with refitting.

Main Results:

  • RFsp achieved prediction accuracy and unbiasedness comparable to kriging methods.
  • RFsp demonstrated flexibility in handling diverse covariate types and required fewer statistical assumptions.
  • RFsp offers potential for more informative error maps, especially for multivariate spatial prediction models.

Conclusions:

  • RFsp is a viable and flexible alternative to kriging for spatial predictions, particularly in geoscience applications.
  • The framework's success hinges on high-quality training data, robust spatial sampling, and rigorous model validation.
  • While computationally intensive with large datasets, RFsp provides a powerful tool for spatial and spatio-temporal analysis.