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Analytically Derived Runoff Models Based on Rainfall Point Processes
Author(s) -
Bierkens Marc F. P.,
Puente Carlos E.
Publication year - 1990
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/wr026i011p02653
Subject(s) - surface runoff , stochastic modelling , point process , simple (philosophy) , mathematics , stochastic process , point (geometry) , poisson distribution , routing (electronic design automation) , mathematical model , statistical physics , mathematical optimization , hydrology (agriculture) , computer science , geology , statistics , geotechnical engineering , geometry , physics , philosophy , epistemology , biology , ecology , computer network
This work introduces four stochastic and lumped in space rainfall‐runoff models. They arise combining two stochastic rainfall models with two conceptualizations of a basin's response. Rainfall is given by rectangular pulses whose arrivals are described by Poisson and Neyman‐Scott models. Runoff is obtained routing such pulses via two alternative conceptualizations, both based on simple linear reservoirs. General expressions for the first‐ and second‐order moments are given for both the instantaneous and locally averaged processes. The mathematical structure of the alternative parameterizations is illustrated via computer simulations.