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A Topologically Optimum Water‐Sampling Plan for Rivers and Streams
Author(s) -
Sharp W. E.
Publication year - 1971
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/wr007i006p01641
Subject(s) - streams , sampling (signal processing) , centroid , bounded function , plan (archaeology) , division (mathematics) , mode (computer interface) , mathematics , sample (material) , hydrology (agriculture) , statistics , computer science , geometry , mathematical analysis , geology , physics , telecommunications , computer network , paleontology , arithmetic , geotechnical engineering , detector , thermodynamics , operating system
It is postulated that the topologically optimum sequential sampling procedure for a stream network is to sample by successive elimination through division of the network at the centroid. The total number of samples is bounded by a minimum of [log 3 M o ] and a maximum of 2 {1 + [log 3 M o ]}. The mode is given by 1 + [log 2 M o ] where M o is the link magnitude of the stream at the outlet. The results are used to develop a uniform sampling plan for the Edisto River in South Carolina.