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March 6, 2026Applied Sciences0 citationsOpen Access

Spatial Modeling of PM2.5 Concentrations Using Random Forest and Geostatistical Interpolation in Kraków, Poland

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EWElżbieta WęglińskaMZMateusz ZarębaTDTomasz Danek

Key Points

  • The aim is to improve spatial mapping of PM2.5 concentrations in urban settings using Random Forest as compared to classical methods.
  • Evaluated Random Forest framework for PM2.5 mapping.
  • Integrated data from 51 low-cost air quality sensors.
  • Utilized topographic and meteorological predictors like elevation and temperature.
  • Assessed model robustness through leave-one-out cross-validation.
  • Conducted permutation-based predictor importance analysis.
  • RF model achieved predictive accuracy between R2 = 0.85 to 0.95.
  • LOO standard error was below 5%, indicating strong spatial stability.
  • Elevation was the key predictor, especially in terrain-controlled accumulation.
  • Temperature and humidity became more critical during evening and nighttime hours.
  • RF captured fine-scale pollution transport features not resolved by ordinary kriging.

Abstract

Spatial mapping of PM2.5 in complex urban and suburban terrains remains challenging for classical geostatistical interpolation. This study evaluates a Random Forest (RF) framework for high-resolution air pollution mapping and compares its performance with ordinary kriging in the Kraków region. The analysis integrates measurements from 51 low-cost air quality sensors with topographic and meteorological predictors, including elevation, temperature, relative humidity, and wind speed. Five representative hours during a relatively windless, inversion dominated day were selected to examine hourly variability in pollution patterns. Model robustness was assessed using leave-one-out (LOO) cross-validation, while interpretability was addressed through permutation-based predictor importance analysis. The RF model achieved high predictive accuracy (R2 = 0.85 to 0.95) and good spatial stability with an LOO standard error below 5%. Elevation consistently emerged as the dominant predictor, confirming the key role of terrain-controlled accumulation, while temperature and humidity gained importance during evening and nighttime hours. The RF approach captured fine-scale transport features along river valleys that were not resolved by ordinary kriging, which produced smoother but less interpretable surfaces. The results demonstrate that RF mapping provides an accurate and explainable support to traditional geostatistical methods for analyzing urban air pollution dynamics in complex terrain.

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Cite This Study

Węglińska et al. (2026) studied this question.

synapsesocial.com/papers/69aa710d531e4c4a9ff5b551https://doi.org/10.3390/app16052470
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