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Title: A Hybrid Reduced-Order Model of Fine-Resolution Hydrologic Simulations at a Polygonal Tundra Site

Abstract

High-resolution predictions of land surface hydrological dynamics are desirable for improved investigations of regional- and watershed-scale processes. Direct deterministic simulations of fine-resolution land surface variables present many challenges, including high computational cost. We therefore propose the use of reduced-order modeling techniques to facilitate emulation of fine-resolution simulations. We use an emulator, Gaussian process regression, to approximate fine-resolution four-dimensional soil moisture fields predicted using a three-dimensional surface-subsurface hydrological simulator (PFLOTRAN). A dimension-reduction technique known as “proper orthogonal decomposition” is further used to improve the efficiency of the resulting reduced-order model (ROM). The ROM reduces simulation computational demand to negligible levels compared to the underlying fine-resolution model. In addition, the ROM that we constructed is equipped with an uncertainty estimate, allowing modelers to construct a ROM consistent with uncertainty in the measured data. The ROM is also capable of constructing statistically equivalent analogs that can be used in uncertainty and sensitivity analyses. We apply the technique to four polygonal tundra sites near Barrow, Alaska that are part of the Department of Energy’s Next-Generation Ecosystem Experiments (NGEE)-Arctic project. The ROM is trained for each site using simulated soil moisture from 1998-2000 and validated using the simulated data for 2002 and 2006. The averagemore » relative RMSEs of the ROMs are under 1%.« less

Authors:
 [1];  [1];  [1];  [1];  [1]
  1. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Earth Sciences Division
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Biological and Environmental Research (BER) (SC-23)
OSTI Identifier:
1471006
Alternate Identifier(s):
OSTI ID: 1582093
Grant/Contract Number:  
AC02-05CH11231; #DEAC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Vadose Zone Journal
Additional Journal Information:
Journal Volume: 15; Journal Issue: 2; Journal ID: ISSN 1539-1663
Publisher:
Soil Science Society of America
Country of Publication:
United States
Language:
English
Subject:
58 GEOSCIENCES

Citation Formats

Liu, Yaning, Bisht, Gautam, Subin, Zachary M., Riley, William J., and Pau, George Shu Heng. A Hybrid Reduced-Order Model of Fine-Resolution Hydrologic Simulations at a Polygonal Tundra Site. United States: N. p., 2015. Web. doi:10.2136/vzj2015.05.0068.
Liu, Yaning, Bisht, Gautam, Subin, Zachary M., Riley, William J., & Pau, George Shu Heng. A Hybrid Reduced-Order Model of Fine-Resolution Hydrologic Simulations at a Polygonal Tundra Site. United States. doi:10.2136/vzj2015.05.0068.
Liu, Yaning, Bisht, Gautam, Subin, Zachary M., Riley, William J., and Pau, George Shu Heng. Mon . "A Hybrid Reduced-Order Model of Fine-Resolution Hydrologic Simulations at a Polygonal Tundra Site". United States. doi:10.2136/vzj2015.05.0068. https://www.osti.gov/servlets/purl/1471006.
@article{osti_1471006,
title = {A Hybrid Reduced-Order Model of Fine-Resolution Hydrologic Simulations at a Polygonal Tundra Site},
author = {Liu, Yaning and Bisht, Gautam and Subin, Zachary M. and Riley, William J. and Pau, George Shu Heng},
abstractNote = {High-resolution predictions of land surface hydrological dynamics are desirable for improved investigations of regional- and watershed-scale processes. Direct deterministic simulations of fine-resolution land surface variables present many challenges, including high computational cost. We therefore propose the use of reduced-order modeling techniques to facilitate emulation of fine-resolution simulations. We use an emulator, Gaussian process regression, to approximate fine-resolution four-dimensional soil moisture fields predicted using a three-dimensional surface-subsurface hydrological simulator (PFLOTRAN). A dimension-reduction technique known as “proper orthogonal decomposition” is further used to improve the efficiency of the resulting reduced-order model (ROM). The ROM reduces simulation computational demand to negligible levels compared to the underlying fine-resolution model. In addition, the ROM that we constructed is equipped with an uncertainty estimate, allowing modelers to construct a ROM consistent with uncertainty in the measured data. The ROM is also capable of constructing statistically equivalent analogs that can be used in uncertainty and sensitivity analyses. We apply the technique to four polygonal tundra sites near Barrow, Alaska that are part of the Department of Energy’s Next-Generation Ecosystem Experiments (NGEE)-Arctic project. The ROM is trained for each site using simulated soil moisture from 1998-2000 and validated using the simulated data for 2002 and 2006. The average relative RMSEs of the ROMs are under 1%.},
doi = {10.2136/vzj2015.05.0068},
journal = {Vadose Zone Journal},
number = 2,
volume = 15,
place = {United States},
year = {2015},
month = {11}
}

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Works referenced in this record:

Temporal dynamics of soil moisture variability: 1. Theoretical basis: DYNAMICS OF MOISTURE VARIABILITY, 1
journal, October 2003

  • Albertson, John D.; Montaldo, Nicola
  • Water Resources Research, Vol. 39, Issue 10
  • DOI: 10.1029/2002WR001616

Kernels for Vector-Valued Functions: A Review
journal, January 2012

  • Álvarez, Mauricio A.; Rosasco, Lorenzo; Lawrence, Neil D.
  • Foundations and Trends® in Machine Learning, Vol. 4, Issue 3
  • DOI: 10.1561/2200000036

Dimension Reduction of Large-Scale Second-Order Dynamical Systems via a Second-Order Arnoldi Method
journal, January 2005

  • Bai, Zhaojun; Su, Yangfeng
  • SIAM Journal on Scientific Computing, Vol. 26, Issue 5
  • DOI: 10.1137/040605552

Approximation concepts for optimum structural design — a review
journal, September 1993

  • Barthelemy, J. -F. M.; Haftka, R. T.
  • Structural Optimization, Vol. 5, Issue 3
  • DOI: 10.1007/BF01743349

Computer model validation with functional output
journal, October 2007


The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows
journal, January 1993


Richards Equation-Based Modeling to Estimate Flow and Nitrate Transport in a Deep Alluvial Vadose Zone
journal, November 2012

  • Botros, Farag E.; Onsoy, Yuksel S.; Ginn, Timothy R.
  • Vadose Zone Journal, Vol. 11, Issue 4
  • DOI: 10.2136/vzj2011.0145

Spatial-temporal variability of soil moisture and its estimation across scales: SOIL MOISTURE SPATIOTEMPORAL VARIABILITY
journal, February 2010

  • Brocca, L.; Melone, F.; Moramarco, T.
  • Water Resources Research, Vol. 46, Issue 2
  • DOI: 10.1029/2009WR008016

Reduced-Order Modeling of the Upper Tropical Pacific Ocean Model using Proper Orthogonal Decomposition
journal, October 2006

  • Cao, Yanhua; Zhu, Jiang; Luo, Zhendong
  • Computers & Mathematics with Applications, Vol. 52, Issue 8-9
  • DOI: 10.1016/j.camwa.2006.11.012

Linearized reduced-order models for subsurface flow simulation
journal, February 2010


Development and application of reduced-order modeling procedures for subsurface flow simulation
journal, February 2009

  • Cardoso, M. A.; Durlofsky, L. J.; Sarma, P.
  • International Journal for Numerical Methods in Engineering, Vol. 77, Issue 9
  • DOI: 10.1002/nme.2453

Spatial soil moisture scaling structure during Soil Moisture Experiment 2005
journal, September 2010

  • Choi, Minha; Jacobs, Jennifer M.
  • Hydrological Processes, Vol. 25, Issue 6
  • DOI: 10.1002/hyp.7877

Bayesian emulation of complex multi-output and dynamic computer models
journal, March 2010

  • Conti, Stefano; O’Hagan, Anthony
  • Journal of Statistical Planning and Inference, Vol. 140, Issue 3
  • DOI: 10.1016/j.jspi.2009.08.006

A Statistical Exploration of the Relationships of Soil Moisture Characteristics to the Physical Properties of Soils
journal, June 1984

  • Cosby, B. J.; Hornberger, G. M.; Clapp, R. B.
  • Water Resources Research, Vol. 20, Issue 6
  • DOI: 10.1029/WR020i006p00682

Approximation by superpositions of a sigmoidal function
journal, December 1989

  • Cybenko, G.
  • Mathematics of Control, Signals, and Systems, Vol. 2, Issue 4
  • DOI: 10.1007/BF02551274

A robust statistical-based estimator for soil moisture retrieval from radar measurements
journal, January 1997

  • Dawson, M. S.; Fung, A. K.; Manry, M. T.
  • IEEE Transactions on Geoscience and Remote Sensing, Vol. 35, Issue 1
  • DOI: 10.1109/36.551934

Parameter estimation for computationally intensive nonlinear regression with an application to climate modeling
journal, December 2008

  • Drignei, Dorin; Forest, Chris E.; Nychka, Doug
  • The Annals of Applied Statistics, Vol. 2, Issue 4
  • DOI: 10.1214/08-AOAS210

Precalibrating an intermediate complexity climate model
journal, October 2010


Spatial distribution of near surface soil moisture and its relationship to microtopography in the Alaskan Arctic coastal plain
journal, June 2005


Karhunen–Loève procedure for gappy data
journal, January 1995

  • Everson, R.; Sirovich, L.
  • Journal of the Optical Society of America A, Vol. 12, Issue 8
  • DOI: 10.1364/JOSAA.12.001657

Recent advances in surrogate-based optimization
journal, January 2009


Microtopographic patterns in an arctic baydjarakh field: do fine-grain patterns enforce landscape stability?
journal, January 2012


Evaluating the performance of parallel subsurface simulators: An illustrative example with PFLOTRAN: Evaluating the Parallel Performance of Pflotran
journal, January 2014

  • Hammond, G. E.; Lichtner, P. C.; Mills, R. T.
  • Water Resources Research, Vol. 50, Issue 1
  • DOI: 10.1002/2012WR013483

Quantifying the change in soil moisture modeling uncertainty from remote sensing observations using Bayesian inference techniques: QUANTIFYING SOIL MOISTURE MODELING UNCERTAINTY
journal, November 2012

  • Harrison, Kenneth W.; Kumar, Sujay V.; Peters-Lidard, Christa D.
  • Water Resources Research, Vol. 48, Issue 11
  • DOI: 10.1029/2012WR012337

Computer Model Calibration Using High-Dimensional Output
journal, June 2008

  • Higdon, Dave; Gattiker, James; Williams, Brian
  • Journal of the American Statistical Association, Vol. 103, Issue 482
  • DOI: 10.1198/016214507000000888

Morphometric and spatial analysis of thaw lakes and drained thaw lake basins in the western Arctic Coastal Plain, Alaska
journal, January 2005

  • Hinkel, K. M.; Frohn, R. C.; Nelson, F. E.
  • Permafrost and Periglacial Processes, Vol. 16, Issue 4
  • DOI: 10.1002/ppp.532

Potential repsonse of an Arctic watershed during a period of global warming
journal, January 1992

  • Hinzman, Larry D.; Kane, Douglas L.
  • Journal of Geophysical Research, Vol. 97, Issue D3
  • DOI: 10.1029/91JD01752

Hydrologic and thermal properties of the active layer in the Alaskan Arctic
journal, May 1991


A probabilistic calibration of climate sensitivity and terrestrial carbon change in GENIE-1
journal, July 2009


Statistical characterization of remotely sensed soil moisture images
journal, August 1997


Bayesian calibration of computer models
journal, August 2001

  • Kennedy, Marc C.; O'Hagan, Anthony
  • Journal of the Royal Statistical Society: Series B (Statistical Methodology), Vol. 63, Issue 3
  • DOI: 10.1111/1467-9868.00294

The Method of Proper Orthogonal Decomposition for Dynamical Characterization and Order Reduction of Mechanical Systems: An Overview
journal, August 2005

  • Kerschen, Gaetan; Golinval, Jean-claude; Vakakis, Alexander F.
  • Nonlinear Dynamics, Vol. 41, Issue 1-3
  • DOI: 10.1007/s11071-005-2803-2

An Analytical Framework for the Water Budget of the Unsaturated Zone
journal, December 1996

  • Kim, C. P.; Stricker, J. N. M.; Torfs, P. J. J. F.
  • Water Resources Research, Vol. 32, Issue 12
  • DOI: 10.1029/95WR02667

Constraining Climate Sensitivity from the Seasonal Cycle in Surface Temperature
journal, September 2006

  • Knutti, Reto; Meehl, Gerald A.; Allen, Myles R.
  • Journal of Climate, Vol. 19, Issue 17
  • DOI: 10.1175/JCLI3865.1

Layer averaged Richard's equation with lateral flow
journal, May 2004


Plants in water-controlled ecosystems: active role in hydrologic processes and response to water stress
journal, July 2001


Quantifying the effect of uncertainty in soil moisture characteristics on plant growth using a crop simulation model
journal, March 2008

  • Lawless, Conor; Semenov, Mikhail A.; Jamieson, Pete D.
  • Field Crops Research, Vol. 106, Issue 2
  • DOI: 10.1016/j.fcr.2007.11.004

Parameter and State Model Reduction for Large-Scale Statistical Inverse Problems
journal, January 2010

  • Lieberman, Chad; Willcox, Karen; Ghattas, Omar
  • SIAM Journal on Scientific Computing, Vol. 32, Issue 5
  • DOI: 10.1137/090775622

Optimization of a Monte Carlo variance reduction method based on sensitivity derivatives
journal, October 2013


Parametric uncertainty quantification in the Rothermel model with randomised quasi-Monte Carlo methods
journal, January 2015

  • Liu, Yaning; Jimenez, Edwin; Hussaini, M. Yousuff
  • International Journal of Wildland Fire, Vol. 24, Issue 3
  • DOI: 10.1071/WF13097

Reduced-order modeling: new approaches for computational physics
journal, February 2004


Global sensitivity analysis for models with spatially dependent outputs
journal, November 2010

  • Marrel, Amandine; Iooss, Bertrand; Jullien, Michel
  • Environmetrics, Vol. 22, Issue 3
  • DOI: 10.1002/env.1071

The groundwater–land-surface–atmosphere connection: Soil moisture effects on the atmospheric boundary layer in fully-coupled simulations
journal, December 2007


Subgrid-scale variability in the surface energy balance of arctic tundra
journal, November 1998

  • McFadden, Joseph P.; Chapin, F. Stuart; Hollinger, David Y.
  • Journal of Geophysical Research: Atmospheres, Vol. 103, Issue D22
  • DOI: 10.1029/98JD02400

On Learning Vector-Valued Functions
journal, January 2005


Temporal dynamics of soil moisture variability: 2. Implications for land surface models: DYNAMICS OF MOISTURE VARIABILITY, 2
journal, October 2003

  • Montaldo, Nicola; Albertson, John D.
  • Water Resources Research, Vol. 39, Issue 10
  • DOI: 10.1029/2002WR001618

Environmental Effects on CO 2 Efflux from Water Track and Tussock Tundra in Arctic Alaska, U.S.A.
journal, May 1991

  • Oberbauer, Steven F.; Tenhunen, John D.; Reynolds, James F.
  • Arctic and Alpine Research, Vol. 23, Issue 2
  • DOI: 10.2307/1551380

Recent change of Arctic tundra ecosystems from a net carbon dioxide sink to a source
journal, February 1993

  • Oechel, Walter C.; Hastings, Steven J.; Vourlrtis, George
  • Nature, Vol. 361, Issue 6412
  • DOI: 10.1038/361520a0

A climate sensitivity estimate using Bayesian fusion of instrumental observations and an Earth System model: CLIMATE SENSITIVITY ESTIMATE
journal, February 2012

  • Olson, Roman; Sriver, Ryan; Goes, Marlos
  • Journal of Geophysical Research: Atmospheres, Vol. 117, Issue D4
  • DOI: 10.1029/2011JD016620

A comparison of Picard and Newton iteration in the numerical solution of multidimensional variably saturated flow problems
journal, December 1994

  • Paniconi, Claudio; Putti, Mario
  • Water Resources Research, Vol. 30, Issue 12
  • DOI: 10.1029/94WR02046

Reduced order models for many-query subsurface flow applications
journal, May 2013

  • Pau, George Shu Heng; Zhang, Yingqi; Finsterle, Stefan
  • Computational Geosciences, Vol. 17, Issue 4
  • DOI: 10.1007/s10596-013-9349-z

Reliable Real-Time Solution of Parametrized Partial Differential Equations: Reduced-Basis Output Bound Methods
journal, November 2001

  • Prud’homme, C.; Rovas, D. V.; Veroy, K.
  • Journal of Fluids Engineering, Vol. 124, Issue 1
  • DOI: 10.1115/1.1448332

Certified reduced basis approximation for parametrized partial differential equations and applications
journal, January 2011

  • Quarteroni, Alfio; Rozza, Gianluigi; Manzoni, Andrea
  • Journal of Mathematics in Industry, Vol. 1, Issue 1
  • DOI: 10.1186/2190-5983-1-3

Emulation techniques for the reduction and sensitivity analysis of complex environmental models
journal, June 2012


Numerical assessment of metamodelling strategies in computationally intensive optimization
journal, June 2012


Review of surrogate modeling in water resources: REVIEW
journal, July 2012

  • Razavi, Saman; Tolson, Bryan A.; Burn, Donald H.
  • Water Resources Research, Vol. 48, Issue 7
  • DOI: 10.1029/2011WR011527

A trajectory piecewise-linear approach to model order reduction and fast simulation of nonlinear circuits and micromachined devices
journal, February 2003

  • Rewienski, M.; White, J.
  • IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, Vol. 22, Issue 2
  • DOI: 10.1109/TCAD.2002.806601

Characterizing coarse-resolution watershed soil moisture heterogeneity using fine-scale simulations
journal, January 2014


Soil Moisture Measurement for Ecological and Hydrological Watershed-Scale Observatories: A Review
journal, January 2008

  • Robinson, D. A.; Campbell, C. S.; Hopmans, J. W.
  • Vadose Zone Journal, Vol. 7, Issue 1
  • DOI: 10.2136/vzj2007.0143

Probabilistic modelling of water balance at a point: the role of climate, soil and vegetation
journal, October 1999

  • Rodriguez-Iturbe, I.; Porporato, A.; Ridolfi, L.
  • Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 455, Issue 1990
  • DOI: 10.1098/rspa.1999.0477

On the spatial organization of soil moisture fields
journal, October 1995

  • Rodriguez-Iturbe, Ignacio; Vogel, Gregor K.; Rigon, Riccardo
  • Geophysical Research Letters, Vol. 22, Issue 20
  • DOI: 10.1029/95GL02779

Analyzing the Climate Sensitivity of the HadSM3 Climate Model Using Ensembles from Different but Related Experiments
journal, July 2009

  • Rougier, Jonathan; Sexton, David M. H.; Murphy, James M.
  • Journal of Climate, Vol. 22, Issue 13
  • DOI: 10.1175/2008JCLI2533.1

Model reduction for compressible flows using POD and Galerkin projection
journal, February 2004

  • Rowley, Clarence W.; Colonius, Tim; Murray, Richard M.
  • Physica D: Nonlinear Phenomena, Vol. 189, Issue 1-2
  • DOI: 10.1016/j.physd.2003.03.001

Implications of Parameter Uncertainty on Soil Moisture Drought Analysis in Germany
journal, February 2013

  • Samaniego, Luis; Kumar, Rohini; Zink, Matthias
  • Journal of Hydrometeorology, Vol. 14, Issue 1
  • DOI: 10.1175/JHM-D-12-075.1

Constraints on Model Response to Greenhouse Gas Forcing and the Role of Subgrid-Scale Processes
journal, June 2008

  • Sanderson, Benjamin M.; Knutti, R.; Aina, T.
  • Journal of Climate, Vol. 21, Issue 11
  • DOI: 10.1175/2008JCLI1869.1

Soft computing in engineering design – A review
journal, April 2008


Vulnerability of Permafrost Carbon to Climate Change: Implications for the Global Carbon Cycle
journal, September 2008

  • Schuur, Edward A. G.; Bockheim, James; Canadell, Josep G.
  • BioScience, Vol. 58, Issue 8
  • DOI: 10.1641/B580807

Metamodels for Computer-based Engineering Design: Survey and recommendations
journal, July 2001

  • Simpson, T. W.; Poplinski, J. D.; Koch, P. N.
  • Engineering with Computers, Vol. 17, Issue 2
  • DOI: 10.1007/PL00007198

Improved understanding of soil moisture variability dynamics
journal, January 2005


Scaling of Soil Moisture: A Hydrologic Perspective
journal, May 2002


Balanced Model Reduction via the Proper Orthogonal Decomposition
journal, November 2002

  • Willcox, K.; Peraire, J.
  • AIAA Journal, Vol. 40, Issue 11
  • DOI: 10.2514/2.1570

Microtopographic controls on ecosystem functioning in the Arctic Coastal Plain
journal, January 2011

  • Zona, D.; Lipson, D. A.; Zulueta, R. C.
  • Journal of Geophysical Research, Vol. 116
  • DOI: 10.1029/2009JG001241