Real-time estimation of rainfall fields using rain gage data under fractional coverage conditions

Abstract Two new attempts at optimal estimation of rainfall fields using hourly rain gage data under fractional coverage conditions are reported; (1) double optimal estimation using analogues of indicator and simple kriging to estimate probability of rainfall and rainfall amount given raining, respectively, and (2) single optimal estimation using an analogue of simple kriging to directly estimate rainfall ???. They are evaluated via cross validation using ??? from the operational network under the Tulsa, Oklahoma, WSR-88D (Weather Surveillance Radar-1988 Doppler version) umbrella.

[1]  Fred C. Schweppe,et al.  Uncertain dynamic systems , 1973 .

[2]  Dong-Jun Seo,et al.  An Intercomparison Study of NEXRAD Precipitation Estimates , 1996 .

[3]  Jean-Dominique Creutin,et al.  A method for delineating and estimating rainfall fields , 1992 .

[4]  Georges Bastin,et al.  Variogram identification by the mean-squared interpolation error method with application to hydrologic fields , 1985 .

[5]  C. Obled,et al.  Objective analyses and mapping techniques for rainfall fields: An objective comparison , 1982 .

[6]  Dong-Jun Seo,et al.  Nonlinear estimation of spatial distribution of rainfall — An indicator cokriging approach , 1996 .

[7]  G. Bastin,et al.  On the Accuracy of Areal Rainfall Estimation - a Case-study , 1987 .

[8]  James W. Wilson,et al.  Radar Measurement of Rainfall—A Summary , 1979 .

[9]  Michel Gevers,et al.  OPTIMAL ESTIMATION OF THE AVERAGE AREAL RAINFALL AND OPTIMAL SELECTION OF RAIN-GAUGE LOCATIONS , 1984 .

[10]  Samuel Karlin,et al.  A First Course on Stochastic Processes , 1968 .

[11]  A. Journel Nonparametric estimation of spatial distributions , 1983 .

[12]  J. Salas,et al.  A COMPARATIVE ANALYSIS OF TECHNIQUES FOR SPATIAL INTERPOLATION OF PRECIPITATION , 1985 .

[13]  D. Seo,et al.  Rainfall estimation using raingages and radar — A Bayesian approach: 2. An application , 1991 .

[14]  W. F. Krajewski,et al.  Spatial rainfall estimation by linear and non-linear co-kriging of radar-rainfall and raingage data , 1989 .

[15]  G. Matheron,et al.  A Simple Substitute for Conditional Expectation : The Disjunctive Kriging , 1976 .

[16]  Dong-Jun Seo,et al.  Characterization of the climatological variability of mean areal rainfall through fractional coverage , 1996 .

[17]  Clayton V. Deutsch,et al.  GSLIB: Geostatistical Software Library and User's Guide , 1993 .

[18]  Guy Delrieu,et al.  Rain Measurement by Raingage-Radar Combination: A Geostatistical Approach , 1988 .

[19]  P. M. Austin,et al.  Relation between Measured Radar Reflectivity and Surface Rainfall , 1987 .

[20]  Andrew R. Solow,et al.  Mapping by simple indicator kriging , 1986 .

[21]  Witold F. Krajewski,et al.  Stochastic interpolation of rainfall data from rain gages and radar using Cokriging: 2. Results , 1990 .

[22]  Emmanouil N. Anagnostou,et al.  Effects of the radar observation process on inferred rainfall statistics , 1996 .