Abstract
A regionalized variable is any numerical function with a spatial distribution which varies from one place to another with apparent continuity. Least squares, distance weighted averaging and kriging can be used to approximate these regionalized variables, this paper presents an overview of these methods and shows how Chebychev polynomials are used in conjunction with simple kriging for the approximation of regionalized variables.
Highlights
A regionalized variable is any numericalfunction with a spatial distribution which variesfrom one place to another with apparent continuity
In die meeste gevalle van praktiese belang, is die omvang van hierdie ge bied so groot dat dit net eenvoudig onmoontlik is om die veranderlike by elke punt in die gebied te bepaal, soos die wiskundige formulering vereis
’n Besondere interessante toepassing van die afstandsgeweegde kleinste kwadraatbenadering (AGKKB) is die voorgestel deur McLain.^ Hier word f(x,y,a) gekies as ’n polinoom van ’n lae graad en die mkoeetffbieshieunltpe vaa^nw(5o)r.dHbieeprdaiael mviertoedlkeehgeetgmewiseki(exnq.Ydioe) nadeel teenoor tendensanalise dat ’n nuwe f(x,y,a) bepaal moet word vir elke
Summary
A regionalized variable is any numericalfunction with a spatial distribution which variesfrom one place to another with apparent continuity. Alhoewel hierdie metode (bekend as tendensanalise) baie eenvoudig is om toe te pas, het dit die nadeel dat die koeffisiente matriks in (4) sleggeaard word vir groot waardes van K. (Die ander twee metodes wat bespreek sal word het nie hierdie nadeel nie).
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