Abstract
The method of Empirical Orthogonal Functions (EOF method) is combined with an objective interpolation technique, kriging, to generate runoff series at ungauged locations. In a case study the results are compared to series interpolated by a combination of EOF analysis and regression using catchment characteristics as independent variables. The results are also compared to linear weighting of an existing runoff series, a commonly used method for spatial interpolation. The influence of altitude on the runoff is studied comparing kriging based on 2 and 3 coordinates. The study showed that the capacity of EOF analysis combined with kriging is as good as the traditionally used linear weighting. The results, when altitude is included in the kriging, are improved.
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References
Creutin, J. D.; Obled, Ch. 1982: Objective analysis and mapping techniques for rainfall fields: An objective comparison. Wat. Res. Res. 18, No.2, pp. 413–431
Davenport, W. B.; Root, W. L. 1958: An introduction to the theory of random signal and noise. McGraw-Hill
Delhomme, J. P. 1978: Kriging in the hydrosciences. Adv. Wat. Res. 1, No.5, pp. 251-
Essenwanger, O. 1976: Applied statistics in atmospheric science. Development in Atmospheric Science 4A, Elsevier, Amsterdam
Gottschalk, L.; Krasovskaia, I.; Kundzewicz, Z. 1991: Detecting outliers in flood data with geostatistical methods. International workshop on “New uncertainty concepts in Hydrology”, Madralin, Poland, Unesco reports in Hydrology (in press)
Gottschalk, L. 1991: Foreläsningar istokastisk hydrologi (Lecture notes in stochastic hydrology, in Swedish). Institute for Geofysikk, Uio, Oslo
Haan, C. T. 1977: Statistical methods in hydrology. The Iowa State University Press, Ames
Hisdal, H. 1988: Regional prognosemodell for vannføring ved hjelp av empiriske ortogonale funksjoner (Regional model for runoff prognosis by using empirical orthogonal functions, in Norwegian). Rapportserie Hydrologi, Rapport nr. 20, UiO, Oslo
Hisdal, H.; Jutman, T. 1989: Utvidelse av tilsigserier, en sammenligning mellom forskjellige metoder (Extension of runoff series, a comparison between different methods in Norwegian). NVE, Oppdragsrapport 6–89, Oslo
Hisdal, H.; Tveito, O. E. 1990: Regioninndeling med henblikk på EOF-metoden (Regionalization with a view to the EOF method; in Norwegian). NVE, Oppdragsrapport 4–90, Oslo
Holmström, I. 1978: Statistical forecasting of sea level change in the Baltic. SMHI Rapporter Meteorologi och Klimatologi, Nr RMK9
Kundzewicz, Z.; Bárdossy, A.; Plate, E.; Grimm-Stele, J. 1991: Plausibility analysis of structured groundwater quality data via geostatistics. International workshop on “New uncertainty concepts in Hydrology”, Madralin, Poland, Unesco reports in Hydrology (in press)
Rao, A. R.; Hsieh, C. H. 1991: Estimation of runoff at ungauged locations by empirical orthogonal functions. Journ. Hydrol. 123, pp. 51–67
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Hisdal, H., Tveito, O.E. Generation of runoff series at ungauged locations using empirical orthogonal functions in combination with kriging. Stochastic Hydrol Hydraul 6, 255–269 (1992). https://doi.org/10.1007/BF01581620
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DOI: https://doi.org/10.1007/BF01581620