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A modified Monte Carlo technique to compute Thiessen coefficients

Authors
Journal
Journal of Hydrology
0022-1694
Publisher
Elsevier
Publication Date
Volume
27
Identifiers
DOI: 10.1016/0022-1694(75)90065-7

Abstract

Abstract A modified application of the Monte Carlo method to obtain Thiessen coefficients is developed and extended to compute the new coefficients in the presence of missing data. A new technique is demonstrated to determine where a random point falls within an arbitrary shaped boundary. The convergence of the computed weights based on the number of random trials and the relative area ratio of the watershed to the enclosing rectangle is discussed. If the number of random points falling outside the boundary of the watershed differs greatly from that of the enclosing rectangle, then one of the three techniques of equal rectangles, unequal rectangles, and single rectangle can be used to obtain the computed weights.

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