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Category‐unit loss functions for flood forecast‐response system evaluation
Author(s) -
Krzysztofowicz Roman,
Davis Donald R.
Publication year - 1983
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/wr019i006p01476
Subject(s) - flood myth , function (biology) , unit (ring theory) , constraint (computer aided design) , computer science , field (mathematics) , mathematical optimization , mathematics , geography , mathematics education , geometry , archaeology , evolutionary biology , pure mathematics , biology
Economic evaluation of the performance of a flood forecast‐response system requires a large amount of information for the estimation of a loss function. This function must encode the cost of protective action undertaken in response to flood warnings and the flood damage sustained. The concept of category‐unit functions is exploited to reduce field survey demands and to circumvent high computation requirements. The loss function consists of a unit damage function, a unit cost function, and a unit reduction function; the degree of response that can be actually implemented is bounded by a decision constraint function. These four functions are estimated from data of various origins for seven categories of structures and three categories of decision makers.