TY - JOUR
T1 - A distributed parameter approach for evaluating the accuracy of groundwater model predictions
T2 - 1. Theory
AU - McLaughlin, Dennis
AU - Wood, Eric F.
PY - 1988/7
Y1 - 1988/7
N2 - A systematic stochastic analysis suggests that groundwater model accuracy depends on natural heterogeneity, data availability, model approximations, and method used to estimate model inputs. Distributed parameter estimation theory is used to develop a description of the modeling process which includes all of these factors. This description is based on a set of hybrid state equations which clearly distinguish between the heterogeneous distributed variables of the natural (reference) system and the aggregated variables of the discretized model. Approximate expressions for the first and second moments of the model's prediction error are derived directly from the state equations. The derived moments provide a convenient way to examine a number of questions related to sampling design, robust input estimation, and model performance. They also may be used to design modeling studies before extensive resources are committed to data collection and model development.
AB - A systematic stochastic analysis suggests that groundwater model accuracy depends on natural heterogeneity, data availability, model approximations, and method used to estimate model inputs. Distributed parameter estimation theory is used to develop a description of the modeling process which includes all of these factors. This description is based on a set of hybrid state equations which clearly distinguish between the heterogeneous distributed variables of the natural (reference) system and the aggregated variables of the discretized model. Approximate expressions for the first and second moments of the model's prediction error are derived directly from the state equations. The derived moments provide a convenient way to examine a number of questions related to sampling design, robust input estimation, and model performance. They also may be used to design modeling studies before extensive resources are committed to data collection and model development.
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U2 - 10.1029/WR024i007p01037
DO - 10.1029/WR024i007p01037
M3 - Article
AN - SCOPUS:0024249612
SN - 0043-1397
VL - 24
SP - 1037
EP - 1047
JO - Water Resources Research
JF - Water Resources Research
IS - 7
ER -