NEW METHOD OF INTERPOLATION 1. Horizontal-distance and direction influences (based on modified Shepard’ interpolator) Additional topographic influences on interpolated precipitation (from elevat pe, slope orientation and the degree of exposure to orography mportant: the orographic scale Orographic elevation Longitudinal and latitudinal components of the slope of the orographic regio Potential exposure of station “i” to orography can estimate an interpolation bias for each station (when topographic influe not taken into account): from nearby stations Pi ˆ j P i z dz dx ( dz dy ˆ Δ [,( ),( ), ] P i i i i i P P P fz dz dx dz dy E Then we can estimate Δ j P ˆ ˆ Δ j j j P P P And finally: ˆ ( ) P i i E fz z
Transcript
Slide 1
NEW METHOD OF INTERPOLATION 1.Horizontal-distance and direction
influences (based on modified Shepards interpolator) 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): from nearby
stations Pi ( Then we can estimate And finally:
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2.5 min7.5 min12.5 min Elevation dz/dy Exposure STATION1
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2.5 min7.5 min12.5 min Elevation STATION2 dz/dx dz/dy
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STATION 50 2.5 min7.5 min12.5 min Elevation dz/dx dz/dy