A distributed parameter approach for evaluating the accuracy of groundwater model predictions: 1. Theory

Dennis McLaughlin, Eric F. Wood

Research output: Contribution to journalArticlepeer-review

56 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)1037-1047
Number of pages11
JournalWater Resources Research
Volume24
Issue number7
DOIs
StatePublished - Jul 1988

All Science Journal Classification (ASJC) codes

  • Water Science and Technology

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