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Vector fields as a framework for modelling the mobility of commodities

Fig 3

Robustness of vector field directions and magnitudes under spatial data removal.

Number of impacted areas as a function of randomly removed areas for 2014 (A, C) and 2015 (B, D). Panels A-B show directional robustness, where lines represent the number of areas with angular deviations below specified degree thresholds (1°, 5°, 15°, 45°, 90°, 180°). Panels C-D show magnitude robustness, where lines represent the number of areas with spatial deviations below specified distance thresholds (5 km, 10 km, 25 km, 50 km, 100 km). Percentages indicate the proportion of areas impacted in relation to the areas removed. The results demonstrate the robustness of vector field estimations despite spatial data gaps, with high consistency between 2014 and 2015, highlighting the reliability of our approach across different years. The total number of areas is 853, and the maximum diameter of Minas Gerais is approximately 1250 km.

Fig 3

doi: https://doi.org/10.1371/journal.pone.0340109.g003