A distributed parameter approach for evaluating the accuracy of groundwater model predictions: 1. Theory
Article first published online: 9 JUL 2010
Copyright 1988 by the American Geophysical Union.
Water Resources Research
Volume 24, Issue 7, pages 1037–1047, July 1988
How to Cite
1988), A distributed parameter approach for evaluating the accuracy of groundwater model predictions: 1. Theory, Water Resour. Res., 24(7), 1037–1047, doi:10.1029/WR024i007p01037., and (
- Issue published online: 9 JUL 2010
- Article first published online: 9 JUL 2010
- Manuscript Accepted: 4 MAR 1988
- Manuscript Received: 6 JUN 1987
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.