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On the problem of discretization in Dam Theory
Author(s) -
Lochert P.,
Phatarfod R. M.
Publication year - 1979
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr015i006p01593
Subject(s) - discretization , emptiness , mathematics , unit (ring theory) , scheme (mathematics) , probability distribution , dam break , distribution (mathematics) , statistics , mathematical analysis , epistemology , geography , philosophy , mathematics education , archaeology , flood myth
This paper considers the twin problems of the nature of discretization and the size of the unit of discretization in dam theory. It compares the probabilities of emptiness and of fullness of the dam obtained by the discretization schemes suggested by Moran and Doran. It is proved that the probability of emptiness for the former scheme is always greater than that obtained for the latter scheme. The probability distribution of the dam content for the latter scheme is derived for the case when the release is the unit of measurement. Finally, the probabilities of emptiness and of fullness of the dam for the two schemes are compared with the exact values for the Erlangian input case.