Optimal estimation of the average areal rainfall over a basin and optimal selection of rain-gauge locations

Lorent, B.;Bastin, Georges;Duque, Christian;Gevers, Michel
(1983) Identification and System Parameter Estimation 1982. Proceedings of the Sixth IFAC Symposium — Location: Washington, DC, USA (7.June.1982)

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  • Lorent, B.
    Author
  • Bastin, Georgesorcid-logoUCLouvain
    Author
  • Duque, ChristianUCLouvain
    Author
  • Gevers, MichelUCLouvain
    Author
Abstract
Using a linear minimum variance unbiased estimation procedure for the estimation of spatially distributed random variables (called `Kriging' by geostatisticians) the authors solve the following problems: estimate the average areal rainfall over a catchment area from measurements in a few rain-gauges; and find the measurement locations that will give the most accurate estimate of this areal rainfall. Furthermore they show that the estimated areal rainfall depends only on the location of the rain-gauges, and that one can find the measurement locations leading to the smallest estimation error variance.
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Lorent, B., Bastin, G., Duque, C., & Gevers, M. (1983). Optimal estimation of the average areal rainfall over a basin and optimal selection of rain-gauge locations. In Bekey, G.A.; Saridis, G.N.; (ed.), Identification and System Parameter Estimation 1982. Proceedings of theSixth IFAC Symposium (p. Vol. 2, p. 1571-6). Pergamon. https://hdl.handle.net/2078.5/228855