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Some Comments on Regionalization in Hydrologic Studies
Author(s) -
Matalas N. C.,
Gilroy E. J.
Publication year - 1968
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/wr004i006p01361
Subject(s) - structural basin , regression , statistics , variance (accounting) , regression analysis , mathematics , hydrology (agriculture) , geology , geomorphology , geotechnical engineering , accounting , business
At the j th site, a choice must be made between y i , a statistical characteristic of the observed flows, and ŷ i , a regionalized estimate of the characteristic, for use in the model for generating synthetic flows at the j th site. The regional estimate is obtained from a regression of y on a set of basin characteristics. IfV ˆ i i/ V i i < 2 − ρ ′ , then ŷ i instead of y i , is used in the generating model, whereV ˆ i iand V ii are the variances of ŷ i and y i , respectively, and ρ ′ is a measure of the interstation correlations. This criterion is shown to be independent of the j th basin characteristics. The criterion is a function of the j th basin characteristics if the data at the j th site are not used in developing the regression relation. For an ungaged site, ŷ i may be obtained with variance that depends upon the basin characteristics at the j th ungaged site. (Key words: Statistics; regionalization; synthesis)