In this study, optimum combinations of available rainfall gauging stations are selected by a model which is consist of geo statistics model as an estimator and an optimized model. At the first, watershed is approximated to several regular geometric shapes. Then kriging calculates the variance of the estimation error of different combinations from available rainfall gauging stations using inside and outside stations of watershed. In each combination, n is number of considered stations and N is number of available stations (N>n). At the end, the best combination is selected by genetic algorithm (the error variance of this combination is minimum). For optimal set with one sample point (station) estimator model and optimize model select station that locates near to center of watershed. While for two stations case, these models select two stations that l ocate in boundaries face to face. Also for combination n stations of N stations, selected stations have good and proportional distribution in watershed. These results show correctness of research methodology.
In this study, effects of variations of paramet ers of theoretical variogram and number of blocks in block estimation of kriging method are evaluated too. The variance of the estimation error from block estimation with 8*8 blocks has showed the acceptable results.
This research shows a linear relation between variations of error variance and scale of variogram. Optimum combination does not vary with variations of scale of variogram but it varies with variations of range of variogram. Increasing of nugget effect of variogram would raise the variance but does not vary optimum combinations.
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