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Title: A new process sensitivity index to identify important system processes under process model and parametric uncertainty

Abstract

A hydrological model consists of multiple process level submodels, and each submodel represents a process key to the operation of the simulated system. Global sensitivity analysis methods have been widely used to identify important processes for system model development and improvement. The existing methods of global sensitivity analysis only consider parametric uncertainty, and are not capable of handling model uncertainty caused by multiple process models that arise from competing hypotheses about one or more processes. To address this problem, this study develops a new method to probe model output sensitivity to competing process models by integrating model averaging methods with variance-based global sensitivity analysis. A process sensitivity index is derived as a single summary measure of relative process importance, and the index includes variance in model outputs caused by uncertainty in both process models and their parameters. Here, for demonstration, the new index is used to assign importance to the processes of recharge and geology in a synthetic study of groundwater reactive transport modeling. The recharge process is simulated by two models that convert precipitation to recharge, and the geology process is simulated by two models of hydraulic conductivity. Each process model has its own random parameters. Finally, the newmore » process sensitivity index is mathematically general, and can be applied to a wide range of problems in hydrology and beyond.« less

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [1]
  1. Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
  2. Florida State Univ., Tallahassee FL (United States). Dept. of Scientific Computing
  3. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Environmental Sciences Division and Climate Change Science Inst.
Publication Date:
Research Org.:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Biological and Environmental Research (BER)
OSTI Identifier:
1376306
Grant/Contract Number:  
AC05-00OR22725; SC0008272; 1552329; AC05-76RL01830
Resource Type:
Accepted Manuscript
Journal Name:
Water Resources Research
Additional Journal Information:
Journal Volume: 53; Journal Issue: 4; Journal ID: ISSN 0043-1397
Publisher:
American Geophysical Union (AGU)
Country of Publication:
United States
Language:
English
Subject:
54 ENVIRONMENTAL SCIENCES; process sensitivity index; variance decomposition; model averaging; model uncertainty; parametric uncertainty; groundwater reactive transport modeling

Citation Formats

Dai, Heng, Ye, Ming, Walker, Anthony P., and Chen, Xingyuan. A new process sensitivity index to identify important system processes under process model and parametric uncertainty. United States: N. p., 2017. Web. doi:10.1002/2016WR019715.
Dai, Heng, Ye, Ming, Walker, Anthony P., & Chen, Xingyuan. A new process sensitivity index to identify important system processes under process model and parametric uncertainty. United States. https://doi.org/10.1002/2016WR019715
Dai, Heng, Ye, Ming, Walker, Anthony P., and Chen, Xingyuan. Tue . "A new process sensitivity index to identify important system processes under process model and parametric uncertainty". United States. https://doi.org/10.1002/2016WR019715. https://www.osti.gov/servlets/purl/1376306.
@article{osti_1376306,
title = {A new process sensitivity index to identify important system processes under process model and parametric uncertainty},
author = {Dai, Heng and Ye, Ming and Walker, Anthony P. and Chen, Xingyuan},
abstractNote = {A hydrological model consists of multiple process level submodels, and each submodel represents a process key to the operation of the simulated system. Global sensitivity analysis methods have been widely used to identify important processes for system model development and improvement. The existing methods of global sensitivity analysis only consider parametric uncertainty, and are not capable of handling model uncertainty caused by multiple process models that arise from competing hypotheses about one or more processes. To address this problem, this study develops a new method to probe model output sensitivity to competing process models by integrating model averaging methods with variance-based global sensitivity analysis. A process sensitivity index is derived as a single summary measure of relative process importance, and the index includes variance in model outputs caused by uncertainty in both process models and their parameters. Here, for demonstration, the new index is used to assign importance to the processes of recharge and geology in a synthetic study of groundwater reactive transport modeling. The recharge process is simulated by two models that convert precipitation to recharge, and the geology process is simulated by two models of hydraulic conductivity. Each process model has its own random parameters. Finally, the new process sensitivity index is mathematically general, and can be applied to a wide range of problems in hydrology and beyond.},
doi = {10.1002/2016WR019715},
journal = {Water Resources Research},
number = 4,
volume = 53,
place = {United States},
year = {Tue Mar 28 00:00:00 EDT 2017},
month = {Tue Mar 28 00:00:00 EDT 2017}
}

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Works referenced in this record:

A unified approach for process‐based hydrologic modeling: 1. Modeling concept
journal, April 2015

  • Clark, Martyn P.; Nijssen, Bart; Lundquist, Jessica D.
  • Water Resources Research, Vol. 51, Issue 4
  • DOI: 10.1002/2015WR017198

Analytical solutions for multiple species reactive transport in multiple dimensions
journal, January 1999


Model selection on solid ground: Rigorous comparison of nine ways to evaluate Bayesian model evidence
journal, December 2014

  • Schöniger, Anneli; Wöhling, Thomas; Samaniego, Luis
  • Water Resources Research, Vol. 50, Issue 12
  • DOI: 10.1002/2014WR016062

Dominant processes concept, model simplification and classification framework in catchment hydrology
journal, August 2007


From Models to Performance Assessment: The Conceptualization Problem
journal, September 2003


The quantity and quality of information in hydrologic models
journal, January 2015

  • Nearing, Grey S.; Gupta, Hoshin V.
  • Water Resources Research, Vol. 51, Issue 1
  • DOI: 10.1002/2014WR015895

Predicting long-term carbon sequestration in response to CO 2 enrichment: How and why do current ecosystem models differ?
journal, April 2015

  • Walker, Anthony P.; Zaehle, Sönke; Medlyn, Belinda E.
  • Global Biogeochemical Cycles, Vol. 29, Issue 4
  • DOI: 10.1002/2014GB004995

Bayesian evidence and model selection
journal, December 2015


Evaluating model structure adequacy: The case of the Maggia Valley groundwater system, southern Switzerland: Evaluating Model Structure Adequacy
journal, January 2013

  • Foglia, L.; Mehl, S. W.; Hill, M. C.
  • Water Resources Research, Vol. 49, Issue 1
  • DOI: 10.1029/2011WR011779

Maximum likelihood Bayesian averaging of uncertain model predictions
journal, November 2003

  • Neuman, S. P.
  • Stochastic Environmental Research and Risk Assessment (SERRA), Vol. 17, Issue 5
  • DOI: 10.1007/s00477-003-0151-7

On model selection criteria in multimodel analysis: ON MODEL SELECTION CRITERIA IN MULTIMODEL ANALYSIS
journal, March 2008

  • Ye, Ming; Meyer, Philip D.; Neuman, Shlomo P.
  • Water Resources Research, Vol. 44, Issue 3
  • DOI: 10.1029/2008WR006803

Improving the theoretical underpinnings of process-based hydrologic models: NARROWING THE GAP BETWEEN HYDROLOGIC THEORY AND MODELS
journal, March 2016

  • Clark, Martyn P.; Schaefli, Bettina; Schymanski, Stanislaus J.
  • Water Resources Research, Vol. 52, Issue 3
  • DOI: 10.1002/2015WR017910

Integrating structural geological data into the inverse modelling framework of iTOUGH2
journal, April 2014


Practical Use of Computationally Frugal Model Analysis Methods: M.C. Hill et al. Ground Water xx, no. x: xx-xx
journal, March 2015

  • Hill, Mary C.; Kavetski, Dmitri; Clark, Martyn
  • Groundwater, Vol. 54, Issue 2
  • DOI: 10.1111/gwat.12330

A unified approach for process‐based hydrologic modeling: 2. Model implementation and case studies
journal, April 2015

  • Clark, Martyn P.; Nijssen, Bart; Lundquist, Jessica D.
  • Water Resources Research, Vol. 51, Issue 4
  • DOI: 10.1002/2015WR017200

Scaling in hydrology: INVITED COMMENTARY
journal, March 2001

  • Blöschl, Günter
  • Hydrological Processes, Vol. 15, Issue 4
  • DOI: 10.1002/hyp.432

Global sensitivity analysis in hydrological modeling: Review of concepts, methods, theoretical framework, and applications
journal, April 2015


Making sense of global sensitivity analyses
journal, April 2014


Dominant processes concept in hydrology: moving forward
journal, August 2004

  • Sivakumar, Bellie
  • Hydrological Processes, Vol. 18, Issue 12
  • DOI: 10.1002/hyp.5606

Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index
journal, February 2010

  • Saltelli, Andrea; Annoni, Paola; Azzini, Ivano
  • Computer Physics Communications, Vol. 181, Issue 2
  • DOI: 10.1016/j.cpc.2009.09.018

Assessment of parametric uncertainty for groundwater reactive transport modeling
journal, May 2014

  • Shi, Xiaoqing; Ye, Ming; Curtis, Gary P.
  • Water Resources Research, Vol. 50, Issue 5
  • DOI: 10.1002/2013WR013755

Assessing five evolving microbial enzyme models against field measurements from a semiarid savannah-What are the mechanisms of soil respiration pulses?
journal, September 2014

  • Zhang, Xia; Niu, Guo-Yue; Elshall, Ahmed S.
  • Geophysical Research Letters, Vol. 41, Issue 18
  • DOI: 10.1002/2014GL061399

Bayesian analysis of data-worth considering model and parameter uncertainties
journal, February 2012


Framework for Understanding Structural Errors (FUSE): A modular framework to diagnose differences between hydrological models: DIFFERENCES BETWEEN HYDROLOGICAL MODELS
journal, August 2008

  • Clark, Martyn P.; Slater, Andrew G.; Rupp, David E.
  • Water Resources Research, Vol. 44, Issue 12
  • DOI: 10.1029/2007WR006735

Model Validation
book, October 2016


Multimodel Bayesian analysis of groundwater data worth
journal, November 2014

  • Xue, Liang; Zhang, Dongxiao; Guadagnini, Alberto
  • Water Resources Research, Vol. 50, Issue 11
  • DOI: 10.1002/2014WR015503

A Model-Averaging Method for Assessing Groundwater Conceptual Model Uncertainty
journal, August 2010


Identification of sorption processes and parameters for radionuclide transport in fractured rock
journal, January 2012


Evaluating Groundwater Interbasin Flow Using Multiple Models and Multiple Types of Data: Groundwater XX, no. XX: XX-XX
journal, April 2016

  • Ye, Ming; Wang, Liying; Pohlmann, Karl. F.
  • Groundwater, Vol. 54, Issue 6
  • DOI: 10.1111/gwat.12422

Multimodel Bayesian analysis of data-worth applied to unsaturated fractured tuffs
journal, January 2012


Towards simplification of hydrologic modeling: identification of dominant processes
journal, January 2016

  • Markstrom, Steven L.; Hay, Lauren E.; Clark, Martyn P.
  • Hydrology and Earth System Sciences, Vol. 20, Issue 11
  • DOI: 10.5194/hess-20-4655-2016

Maximum likelihood Bayesian model averaging and its predictive analysis for groundwater reactive transport models
journal, October 2015


Sensitivity Analysis for Chemical Models
journal, July 2005

  • Saltelli, Andrea; Ratto, Marco; Tarantola, Stefano
  • Chemical Reviews, Vol. 105, Issue 7
  • DOI: 10.1021/cr040659d

Managing complexity in simulations of land surface and near-surface processes
journal, April 2016


Bayesian process-identification in bacteria transport in porous media
journal, October 2013


Expert elicitation of recharge model probabilities for the Death Valley regional flow system
journal, June 2008


The conceptualization model problem?surprise
journal, February 2005


Time-varying sensitivity analysis clarifies the effects of watershed model formulation on model behavior: TIME-VARYING SENSITIVITY OF WATERSHED MODELS
journal, March 2013

  • Herman, J. D.; Reed, P. M.; Wagener, T.
  • Water Resources Research, Vol. 49, Issue 3
  • DOI: 10.1002/wrcr.20124

A philosophical basis for hydrological uncertainty
journal, May 2016


Works referencing / citing this record:

On the Sensitivity of the Precipitation Partitioning Into Evapotranspiration and Runoff in Land Surface Parameterizations
journal, January 2019

  • Zheng, Hui; Yang, Zong‐Liang; Lin, Peirong
  • Water Resources Research, Vol. 55, Issue 1
  • DOI: 10.1029/2017wr022236

Parametric and Structural Sensitivities of Turbine‐Height Wind Speeds in the Boundary Layer Parameterizations in the Weather Research and Forecasting Model
journal, June 2019

  • Yang, Ben; Berg, Larry K.; Qian, Yun
  • Journal of Geophysical Research: Atmospheres, Vol. 124, Issue 12
  • DOI: 10.1029/2018jd029691

A Comprehensive Distributed Hydrological Modeling Intercomparison to Support Process Representation and Data Collection Strategies
journal, February 2019

  • Baroni, Gabriele; Schalge, Bernd; Rakovec, Oldrich
  • Water Resources Research, Vol. 55, Issue 2
  • DOI: 10.1029/2018wr023941

A comprehensive sensitivity and uncertainty analysis for discharge and nitrate-nitrogen loads involving multiple discrete model inputs under future changing conditions
journal, January 2019

  • Schürz, Christoph; Hollosi, Brigitta; Matulla, Christoph
  • Hydrology and Earth System Sciences, Vol. 23, Issue 3
  • DOI: 10.5194/hess-23-1211-2019

A comprehensive sensitivity and uncertainty analysis for discharge and nitrate-nitrogen loads involving multiple discrete model inputs under future changing conditions
journal, August 2018

  • Schurz, Christoph; Hollosi, Brigitta; Matulla, Christoph
  • Hydrology and Earth System Sciences Discussions
  • DOI: 10.5194/hess-2018-375