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Enhanced Precipitation Interpolation Using Modified Shepard's Method with Topographic Influences

Implementing a novel interpolation method considering horizontal distance, direction, and topographic factors for accurate precipitation estimation. Explore influences from elevation, slope, orientation, and orography exposure. Calculate bias and refine estimations for improved accuracy.

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Enhanced Precipitation Interpolation Using Modified Shepard's Method with Topographic Influences

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  1. ( NEW METHOD OF INTERPOLATION • Horizontal-distance and direction influences (based on modified Shepard’s • interpolator) from nearby stations Pi • 2. Additional topographic influences on interpolated precipitation (from elevation, • slope, slope orientation and the degree of exposure to orography • Important: the orographic scale • Orographic elevation • Longitudinal and latitudinal components of the slope of the orographic region • Potential exposure of station “i” to orography • We can estimate an interpolation bias for each station (when topographic influences • Are not taken into account): Then we can estimate And finally:

  2. STATION1 2.5 min 7.5 min 12.5 min Elevation dz/dy Exposure

  3. STATION2 2.5 min 7.5 min 12.5 min Elevation dz/dx dz/dy

  4. STATION 50 2.5 min 7.5 min 12.5 min Elevation dz/dx dz/dy

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