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| Created: | Feb 08, 2023 at 3:58 p.m. | |
| Last updated: | Feb 08, 2023 at 3:58 p.m. | |
| Citation: | See how to cite this resource |
| Sharing Status: | Public |
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Abstract
The fact that dependent variables of groundwater models are generally nonlinear functions of model parameters is shown to be a potentially significant factor in calculating accurate confidence intervals for both model parameters and functions of the parameters, such as the values of dependent variables calculated by the model. The Lagrangian method of Vecchia and Cooley [Vecchia, A.V. & Cooley, R.L., Water Resources Research, 1987, 23(7), 1237-1250] was used to calculate nonlinear Scheffe-type confidence intervals for the parameters and the simulated heads of a steady-state groundwater flow model covering 450 km(2) of a leaky aquifer. The nonlinear confidence intervals are compared to corresponding linear intervals. As suggested by the significant nonlinearity of the regression model, linear confidence intervals are often not accurate. The commonly made assumption that widths of linear confidence intervals always underestimate the actual (nonlinear) widths was not correct. Results show that nonlinear effects can cause the nonlinear intervals to be asymmetric and either larger or smaller than the linear approximations. Prior information on transmissivities helps reduce the size of the confidence intervals, with the most notable effects occurring for the parameters on which there is prior information and for head values in parameter zones for which there is prior information on the parameters. (C) 1999 Elsevier Science Ltd. All rights reserved.
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Additional Metadata
| Name | Value |
|---|---|
| DOI | 10.1016/S0309-1708(98)00055-4 |
| Depth | |
| Scale | 101 - 1 000 km² |
| Layers | 1 |
| Purpose | Scientific investigation (not related to applied problem) |
| GroMoPo_ID | 332 |
| IsVerified | True |
| Model Code | MODFLOW |
| Model Link | https://doi.org/10.1016/S0309-1708(98)00055-4 |
| Model Time | SS |
| Model Year | 1999 |
| Model Authors | Christensen, S; Cooley, RL |
| Model Country | Denmark |
| Data Available | Report/paper only |
| Developer Email | NA |
| Dominant Geology | Unconsolidated sediments |
| Developer Country | Denmark; USA |
| Publication Title | Evaluation of confidence intervals for a steady-state leaky aquifer model |
| Original Developer | No |
| Additional Information | |
| Integration or Coupling | |
| Evaluation or Calibration | Static water levels |
| Geologic Data Availability | No |
How to Cite
This resource is shared under the Creative Commons Attribution CC BY.
http://creativecommons.org/licenses/by/4.0/
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