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An optimization scheme for gaging
Author(s) -
Fiering Myron B
Publication year - 1965
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/wr001i004p00463
Subject(s) - principal component analysis , multivariate statistics , scheme (mathematics) , sampling (signal processing) , population , regression , integer (computer science) , linear programming , component (thermodynamics) , computer science , integer programming , mathematical optimization , regression analysis , statistics , nonlinear system , mathematics , mathematical analysis , physics , demography , filter (signal processing) , quantum mechanics , sociology , computer vision , thermodynamics , programming language
The conjunctive use of nonlinear integer programming and principal component analysis is suggested for specification of a constrained optimal gaging program whose objective is to define efficient estimates of the several annual means. The assumptions in the analysis are restrictive; data from the n sites are presumed to be available for n 1 years, and n 2 years of additional gaging are contemplated. The observations are presumed to derive from a multivariate normal population with no serial correlation. The method specifies which sites from among the n candidates should be continued and which should be estimated by linear regression. Although the discussion is directed toward hydrologie applications, it should be recognized that the technique is generally applicable to sampling surveys.