1998 | OriginalPaper | Buchkapitel
Gamma Distribution
verfasst von : Vijay P. Singh
Erschienen in: Entropy-Based Parameter Estimation in Hydrology
Verlag: Springer Netherlands
Enthalten in: Professional Book Archive
Aktivieren Sie unsere intelligente Suche um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
The two-parameter gamma distribution is commonly employed for synthesis of instantaneous or finite-period unit hydrographs (Dooge, 1973) and also for flood frequency analysis (Haan, 1977; Phien and Jivajirajah, 1984; Yevjevich and Obseysekera, 1984). By making two hydrologic postulates, Edson (1951) was perhaps the first to derive it for describing a unit hydrograph (UH). Using the theory of linear systems Nash (1957, 1959, 1960) showed that the mathematical equation of the instantaneous unit hydrograph (IUH) of a basin represented by a cascade of equal linear reservoirs would be a gamma distribution. This also resulted as a special case of the general unit hydrograph theory developed by Dooge (1959). On the other hand, using statistical and mathematical reasoning, Lienhard and associates (Lienhard, 1964; Lienhard and Davis, 1971; Lienhard and Meyer, 1967) derived this distribution as a basis for describing the IUH. Thus, these investigators laid the foundation of a hydrophysical basis underlying the use of this distribution in synthesizing the direct runoff. There has since been a plethora of studies employing this distribution in surface water hydrology (Gray, 1961; Wu, 1963; DeCoursey, 1966; Dooge, 1973; Gupta and Moin, 1974; Gupta, et al., 1974; Croley, 1980; Aron and White, 1982; Singh, 1982a, 1982b, 1988; Collins, 1983).