DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Hierarchical mixture of experts and diagnostic modeling approach to reduce hydrologic model structural uncertainty

Abstract

In most water resources applications, a single model structure might be inadequate to capture the dynamic multi-scale interactions among different hydrological processes. Calibrating single models for dynamic catchments, where multiple dominant processes exist, can result in displacement of errors from structure to parameters, which in turn leads to over-correction and biased predictions. An alternative to a single model structure is to develop local expert structures that are effective in representing the dominant components of the hydrologic process and adaptively integrate them based on an indicator variable. In this study, the Hierarchical Mixture of Experts (HME) framework is applied to integrate expert model structures representing the different components of the hydrologic process. Various signature diagnostic analyses are used to assess the presence of multiple dominant processes and the adequacy of a single model, as well as to identify the structures of the expert models. The approaches are applied for two distinct catchments, the Guadalupe River (Texas) and the French Broad River (North Carolina) from the Model Parameter Estimation Experiment (MOPEX), using different structures of the HBV model. Furthermore, the results show that the HME approach has a better performance over the single model for the Guadalupe catchment, where multiple dominant processesmore » are witnessed through diagnostic measures. Whereas, the diagnostics and aggregated performance measures prove that French Broad has a homogeneous catchment response, making the single model adequate to capture the response.« less

Authors:
 [1];  [1];  [2]
  1. Washington State Univ., Richland, WA (United States)
  2. Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
Publication Date:
Research Org.:
Pacific Northwest National Laboratory (PNNL), Richland, WA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Biological and Environmental Research (BER); State of Washington Water Research Center
OSTI Identifier:
1327118
Alternate Identifier(s):
OSTI ID: 1402274
Report Number(s):
PNNL-SA-113964
Journal ID: ISSN 0043-1397; KP1703030
Grant/Contract Number:  
AC05-76RL01830; G11AP20113
Resource Type:
Accepted Manuscript
Journal Name:
Water Resources Research
Additional Journal Information:
Journal Volume: 52; Journal Issue: 4; Journal ID: ISSN 0043-1397
Publisher:
American Geophysical Union (AGU)
Country of Publication:
United States
Language:
English
Subject:
54 ENVIRONMENTAL SCIENCES; diagnostic modeling; structural uncertainty; Hierarchical Mixture of Experts; model averaging; model adequacy

Citation Formats

Moges, Edom, Demissie, Yonas, and Li, Hong-Yi. Hierarchical mixture of experts and diagnostic modeling approach to reduce hydrologic model structural uncertainty. United States: N. p., 2016. Web. doi:10.1002/2015WR018266.
Moges, Edom, Demissie, Yonas, & Li, Hong-Yi. Hierarchical mixture of experts and diagnostic modeling approach to reduce hydrologic model structural uncertainty. United States. https://doi.org/10.1002/2015WR018266
Moges, Edom, Demissie, Yonas, and Li, Hong-Yi. Fri . "Hierarchical mixture of experts and diagnostic modeling approach to reduce hydrologic model structural uncertainty". United States. https://doi.org/10.1002/2015WR018266. https://www.osti.gov/servlets/purl/1327118.
@article{osti_1327118,
title = {Hierarchical mixture of experts and diagnostic modeling approach to reduce hydrologic model structural uncertainty},
author = {Moges, Edom and Demissie, Yonas and Li, Hong-Yi},
abstractNote = {In most water resources applications, a single model structure might be inadequate to capture the dynamic multi-scale interactions among different hydrological processes. Calibrating single models for dynamic catchments, where multiple dominant processes exist, can result in displacement of errors from structure to parameters, which in turn leads to over-correction and biased predictions. An alternative to a single model structure is to develop local expert structures that are effective in representing the dominant components of the hydrologic process and adaptively integrate them based on an indicator variable. In this study, the Hierarchical Mixture of Experts (HME) framework is applied to integrate expert model structures representing the different components of the hydrologic process. Various signature diagnostic analyses are used to assess the presence of multiple dominant processes and the adequacy of a single model, as well as to identify the structures of the expert models. The approaches are applied for two distinct catchments, the Guadalupe River (Texas) and the French Broad River (North Carolina) from the Model Parameter Estimation Experiment (MOPEX), using different structures of the HBV model. Furthermore, the results show that the HME approach has a better performance over the single model for the Guadalupe catchment, where multiple dominant processes are witnessed through diagnostic measures. Whereas, the diagnostics and aggregated performance measures prove that French Broad has a homogeneous catchment response, making the single model adequate to capture the response.},
doi = {10.1002/2015WR018266},
journal = {Water Resources Research},
number = 4,
volume = 52,
place = {United States},
year = {Fri Mar 04 00:00:00 EST 2016},
month = {Fri Mar 04 00:00:00 EST 2016}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 7 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Hierarchical Mixtures of Experts and the EM Algorithm
journal, March 1994


Pitfalls and improvements in the joint inference of heteroscedasticity and autocorrelation in hydrological model calibration: Technical note
journal, July 2013

  • Evin, Guillaume; Kavetski, Dmitri; Thyer, Mark
  • Water Resources Research, Vol. 49, Issue 7
  • DOI: 10.1002/wrcr.20284

Maximum likelihood Bayesian averaging of spatial variability models in unsaturated fractured tuff: MAXIMUM LIKELIHOOD BAYESIAN MODEL AVERAGING
journal, May 2004

  • Ye, Ming; Neuman, Shlomo P.; Meyer, Philip D.
  • Water Resources Research, Vol. 40, Issue 5
  • DOI: 10.1029/2003WR002557

Towards a Bayesian total error analysis of conceptual rainfall-runoff models: Characterising model error using storm-dependent parameters
journal, November 2006


Inference from Iterative Simulation Using Multiple Sequences
journal, November 1992


Comparative diagnostic analysis of runoff generation processes in Oklahoma DMIP2 basins: The Blue River and the Illinois River
journal, February 2012


Teaching hydrological modeling with a user-friendly catchment-runoff-model software package
journal, January 2012


Treatment of input uncertainty in hydrologic modeling: Doing hydrology backward with Markov chain Monte Carlo simulation: FORCING DATA ERROR USING MCMC SAMPLING
journal, December 2008

  • Vrugt, Jasper A.; ter Braak, Cajo J. F.; Clark, Martyn P.
  • Water Resources Research, Vol. 44, Issue 12
  • DOI: 10.1029/2007WR006720

Detecting human interferences to low flows through base flow recession analysis: DETECTING HUMAN INTERFERENCES TO LOW FLOWS
journal, July 2009


Accelerating Markov Chain Monte Carlo Simulation by Differential Evolution with Self-Adaptive Randomized Subspace Sampling
journal, January 2009

  • Vrugt, J. A.; ter Braak, C. J. F.; Diks, C. G. H.
  • International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 10, Issue 3
  • DOI: 10.1515/IJNSNS.2009.10.3.273

Modeling the catchment via mixtures: Issues of model specification and validation: MODELING THE CATCHMENT VIA MIXTURES
journal, November 2006

  • Marshall, Lucy; Sharma, Ashish; Nott, David
  • Water Resources Research, Vol. 42, Issue 11
  • DOI: 10.1029/2005WR004613

Towards dynamic catchment modelling: a Bayesian hierarchical mixtures of experts framework
journal, January 2007

  • Marshall, Lucy; Nott, David; Sharma, Ashish
  • Hydrological Processes, Vol. 21, Issue 7
  • DOI: 10.1002/hyp.6294

Multi-model ensemble hydrologic prediction using Bayesian model averaging
journal, May 2007


Bayesian recursive parameter estimation for hydrologic models
journal, October 2001

  • Thiemann, M.; Trosset, M.; Gupta, H.
  • Water Resources Research, Vol. 37, Issue 10
  • DOI: 10.1029/2000WR900405

Bayesian analysis of input uncertainty in hydrological modeling: 2. Application: INPUT UNCERTAINTY IN HYDROLOGY, 2
journal, March 2006

  • Kavetski, Dmitri; Kuczera, George; Franks, Stewart W.
  • Water Resources Research, Vol. 42, Issue 3
  • DOI: 10.1029/2005WR004376

Specifying a hierarchical mixture of experts for hydrologic modeling: Gating function variable selection: Specifying A Hierarchical Mixture of Experts
journal, May 2013

  • Jeremiah, Erwin; Marshall, Lucy; Sisson, Scott A.
  • Water Resources Research, Vol. 49, Issue 5
  • DOI: 10.1002/wrcr.20150

Towards the characterization of streamflow simulation uncertainty through multimodel ensembles
journal, October 2004


Pursuing the method of multiple working hypotheses for hydrological modeling: HYPOTHESIS TESTING IN HYDROLOGY
journal, September 2011

  • Clark, Martyn P.; Kavetski, Dmitri; Fenicia, Fabrizio
  • Water Resources Research, Vol. 47, Issue 9
  • DOI: 10.1029/2010WR009827

Toward improved calibration of hydrologic models: Multiple and noncommensurable measures of information
journal, April 1998

  • Gupta, Hoshin Vijai; Sorooshian, Soroosh; Yapo, Patrice Ogou
  • Water Resources Research, Vol. 34, Issue 4
  • DOI: 10.1029/97WR03495

The future of distributed models: Model calibration and uncertainty prediction
journal, July 1992


Decomposition of the mean squared error and NSE performance criteria: Implications for improving hydrological modelling
journal, October 2009


An evaluation of the impact of model structure on hydrological modelling uncertainty for streamflow simulation
journal, October 2004


Large-sample hydrology: a need to balance depth with breadth
journal, January 2014

  • Gupta, H. V.; Perrin, C.; Blöschl, G.
  • Hydrology and Earth System Sciences, Vol. 18, Issue 2
  • DOI: 10.5194/hess-18-463-2014

Using Bayesian Model Averaging to Calibrate Forecast Ensembles
journal, May 2005

  • Raftery, Adrian E.; Gneiting, Tilmann; Balabdaoui, Fadoua
  • Monthly Weather Review, Vol. 133, Issue 5, p. 1155-1174
  • DOI: 10.1175/MWR2906.1

Towards reduced uncertainty in conceptual rainfall-runoff modelling: dynamic identifiability analysis
journal, January 2003

  • Wagener, T.; McIntyre, N.; Lees, M. J.
  • Hydrological Processes, Vol. 17, Issue 2
  • DOI: 10.1002/hyp.1135

Spillway design floods in Sweden: I. New guidelines
journal, October 1992

  • BergstrÖM, Sten; Harlin, Joakim; LindstrÖM, GÖRan
  • Hydrological Sciences Journal, Vol. 37, Issue 5
  • DOI: 10.1080/02626669209492615

Prediction uncertainty of conceptual rainfall-runoff models caused by problems in identifying model parameters and structure
journal, October 1999

  • Uhlenbrook, Stefan; Seibert, Jan; Leibundgut, Christian
  • Hydrological Sciences Journal, Vol. 44, Issue 5
  • DOI: 10.1080/02626669909492273

Reconciling theory with observations: elements of a diagnostic approach to model evaluation
journal, August 2008

  • Gupta, Hoshin V.; Wagener, Thorsten; Liu, Yuqiong
  • Hydrological Processes, Vol. 22, Issue 18
  • DOI: 10.1002/hyp.6989

Development of a formal likelihood function for improved Bayesian inference of ephemeral catchments: DEVELOPMENT OF A FORMAL LIKELIHOOD FUNCTION
journal, December 2010

  • Smith, Tyler; Sharma, Ashish; Marshall, Lucy
  • Water Resources Research, Vol. 46, Issue 12
  • DOI: 10.1029/2010WR009514

Functional approach to exploring climatic and landscape controls of runoff generation: 1. Behavioral constraints on runoff volume
journal, December 2014

  • Li, Hong-Yi; Sivapalan, Murugesu; Tian, Fuqiang
  • Water Resources Research, Vol. 50, Issue 12
  • DOI: 10.1002/2014WR016307

Benchmarking observational uncertainties for hydrology: rainfall, river discharge and water quality: BENCHMARKING OBSERVATIONAL UNCERTAINTIES FOR HYDROLOGY
journal, June 2012

  • McMillan, Hilary; Krueger, Tobias; Freer, Jim
  • Hydrological Processes, Vol. 26, Issue 26
  • DOI: 10.1002/hyp.9384

Predicting space-time variability of hourly streamflow and the role of climate seasonality: Mahurangi Catchment, New Zealand
journal, January 2003

  • Atkinson, S. E.; Sivapalan, M.; Viney, N. R.
  • Hydrological Processes, Vol. 17, Issue 11
  • DOI: 10.1002/hyp.1327

When are multiobjective calibration trade-offs in hydrologic models meaningful?: MEANINGFUL MULTIOBJECTIVE TRADE-OFFS
journal, March 2012

  • Kollat, J. B.; Reed, P. M.; Wagener, T.
  • Water Resources Research, Vol. 48, Issue 3
  • DOI: 10.1029/2011WR011534

The influence of lateral snow redistribution processes on snow melt and sublimation in alpine regions
journal, March 2012


Uncertainty in river discharge observations: a quantitative analysis
journal, January 2009


Hydrological field data from a modeller's perspective: Part 1. Diagnostic tests for model structure
journal, November 2010

  • McMillan, Hilary K.; Clark, Martyn P.; Bowden, William B.
  • Hydrological Processes, Vol. 25, Issue 4
  • DOI: 10.1002/hyp.7841

An introduction to the hydrological modelling system PREVAH and its pre- and post-processing-tools
journal, October 2009


A framework to assess the realism of model structures using hydrological signatures
journal, January 2013

  • Euser, T.; Winsemius, H. C.; Hrachowitz, M.
  • Hydrology and Earth System Sciences, Vol. 17, Issue 5
  • DOI: 10.5194/hess-17-1893-2013

Unraveling uncertainties in hydrologic model calibration: Addressing the problem of compensatory parameters
journal, January 2006

  • Clark, Martyn P.; Vrugt, Jasper A.
  • Geophysical Research Letters, Vol. 33, Issue 6
  • DOI: 10.1029/2005GL025604

Process consistency in models: The importance of system signatures, expert knowledge, and process complexity
journal, September 2014

  • Hrachowitz, M.; Fovet, O.; Ruiz, L.
  • Water Resources Research, Vol. 50, Issue 9
  • DOI: 10.1002/2014WR015484

Methods for combining the outputs of different rainfall–runoff models
journal, October 1997


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

Comparison of joint versus postprocessor approaches for hydrological uncertainty estimation accounting for error autocorrelation and heteroscedasticity
journal, March 2014

  • Evin, Guillaume; Thyer, Mark; Kavetski, Dmitri
  • Water Resources Research, Vol. 50, Issue 3
  • DOI: 10.1002/2013WR014185

Modeling residual hydrologic errors with Bayesian inference
journal, September 2015


On the scale problem in hydrological modelling
journal, November 1998


Works referencing / citing this record: