Two statistics for evaluating parameter identifiability and error reduction

By John Doherty, R. Hunt. 2009

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Balance between calibration objectives in a conceptual hydrological model (2010, background): “Doherty & Hunt (2009) defined two statistics for parameter identifiability based on singular value decomposition of the weighted sensitivity matrix, the elements of which express the sensitivity of each model output to each parameter.”
Optimization and uncertainty assessment of strongly nonlinear groundwater models with high parameter dimensionality (2010, methodology): “Calibration solution and null‐spaces were defined using singular value decomposition according to the method established by Doherty and Hunt [2009] ; in all cases the dimensionality of the solution space was calculated to be about 24. Three hundred random parameter sets were then generated and subj”
Predictive uncertainty analysis of a saltwater intrusion model using null‐space Monte Carlo (2011, methodology): “An SSD value of 5 was selected using the methodology proposed by Doherty and Hunt [2009] .”