This study considers the use of the maximum likelihood estimator proposed by Whittle for calibrating the parameters of hydrological models. Whittle’s likelihood provides asymptotically consistent estimates for Gaussian and non Gaussian data, even in the presence of long range dependence. This method may represent a valuable opportunity in the context of ungauged or scarcely gauged catchments. In fact, the only information required for model parameterization is the spectral density function of the actual process simulated by the model. When long series of calibration data are not available, the spectral density can be inferred by using old and sparse records, regionalization methods or information on the correlation properties of the process itself. The proposed procedure is applied to a case study referring to an Italian river basin, for which a lumped rainfall-runoff model is calibrated by emulating scarcely gauged situations. It is shown that the Whittle estimator can be applied in such a context with satisfactory results.
SPECTRAL MAXIMUM-LIKELIHOOD PARAMETERIZATION OF HYDROLOGICAL MODELS / A. Montanari; E. Toth. - ELETTRONICO. - (2007), pp. 51-59. (Intervento presentato al convegno 11th Conference of the Euromediterranean Network of Experimental and Representative Basins (ERB) tenutosi a Luxembourg nel 20 – 22 September 2006).
SPECTRAL MAXIMUM-LIKELIHOOD PARAMETERIZATION OF HYDROLOGICAL MODELS
MONTANARI, ALBERTO;TOTH, ELENA
2007
Abstract
This study considers the use of the maximum likelihood estimator proposed by Whittle for calibrating the parameters of hydrological models. Whittle’s likelihood provides asymptotically consistent estimates for Gaussian and non Gaussian data, even in the presence of long range dependence. This method may represent a valuable opportunity in the context of ungauged or scarcely gauged catchments. In fact, the only information required for model parameterization is the spectral density function of the actual process simulated by the model. When long series of calibration data are not available, the spectral density can be inferred by using old and sparse records, regionalization methods or information on the correlation properties of the process itself. The proposed procedure is applied to a case study referring to an Italian river basin, for which a lumped rainfall-runoff model is calibrated by emulating scarcely gauged situations. It is shown that the Whittle estimator can be applied in such a context with satisfactory results.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
