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Bárdossy et al. 2005
Bárdossy, A., Pegram, G.G.S. and Samaniego, L. (2005). Modeling data relationships with a local variance reducing technique: Applications in hydrology. Water Resources Research 41: doi: 10.1029/2004WR003851. issn: 0043-1397.

The assessment of an appropriate function describing the relationship between hydrological variables is a frequent problem. The usual way of estimating an overall function is a difficult task if the relationship between the variables is highly nonlinear. Nearest neighbor methods provide an alternative. In this paper different generalizations of the nearest neighbor method are suggested. Besides using different estimators the problem of finding an appropriate distance measure is discussed. Linear embedding of the observation space into an appropriate Euclidean space can improve the distance-based methods substantially. The suggested transformations and the corresponding local linear estimators are applied to two different examples: the prediction of local discharge characteristics from catchment properties and a simple 1 day flood forecasting problem.

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Abstract

Keywords
Hydrology, Estimation and forecasting, Hydrology, Streamflow, Hydrology, Floods, Hydrology, Stochastic hydrology, Hydrology, Numerical approximations and analysis, estimation, forecasting, local estimators, nearest neighbor
Journal
Water Resources Research
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Publisher
American Geophysical Union
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