Parallel multi-objective calibration of a component-based river temperature model

Abstract Many recent modeling efforts have employed component-based modeling frameworks to take advantage of the flexibility they provide in representing systems more holistically. Despite the benefits that are driving this adoption, conducting model parameter estimation, uncertainty analysis, sensitivity assessment, and other simulations of this nature within component-based modeling frameworks has remained unexplored. Using a multi-objective calibration of a component-based river temperature model, we illustrate how the component cloning and parallel model execution interfaces we have implemented in the HydroCouple framework support such simulations. The river temperature model calibration application we present involves a heavily human mediated 13.6 km section of the Logan River in Utah, USA with limited information regarding variable inflows. Due to the flexibility in the modeling and calibration framework, results from the calibration effort were successful with root mean square errors of 0.4–0.7 °C and provided insights on mechanisms controlling river temperatures.

[1]  S. Chapra.  Surface Water-Quality Modeling , 1996 .

[2]  Y. Zhang,et al.  SPATIAL AND SEASONAL VARIABILITY IN THE COMPONENTS OF THE RIVER HEAT BUDGET , 1997 .

[3]  L. B. Leopold,et al.  Water In Environmental Planning , 1978 .

[4]  John S. Selker,et al.  A distributed stream temperature model using high resolution temperature observations , 2007 .

[5]  Roger Moore,et al.  An overview of the open modelling interface and environment (the OpenMI) , 2005 .

[6]  P. Krause,et al.  COMPARISON OF DIFFERENT EFFICIENCY CRITERIA FOR HYDROLOGICAL MODEL ASSESSMENT , 2005 .

[7]  A. Harten.  High Resolution Schemes for Hyperbolic Conservation Laws , 2017 .

[8]  Bethany T. Neilson,et al.  Analysis of the temperature dynamics of a proglacial river using time-lapse thermal imaging and energy balance modeling , 2014 .

[9]  Clemens A. Szyperski,et al.  Component software - beyond object-oriented programming , 2002 .

[10]  Zhenduo Zhu,et al.  Integrated urban hydrologic and hydraulic modelling in Chicago, Illinois , 2016, Environ. Model. Softw..

[11]  Alexey A. Voinov,et al.  'Integronsters', integral and integrated modeling , 2013, Environ. Model. Softw..

[12]  J. Thorp.  AQUATIC ECOLOGY Series , 2009 .

[13]  A. J. Raudkivi,et al.  Hydrology: An Advanced Introduction to Hydrological Processes and Modelling , 1979 .

[14]  Andrew Hughes,et al.  Metamodel-assisted analysis of an integrated model composition: An example using linked surface water - groundwater models , 2018, Environ. Model. Softw..

[15]  M. Hanif Chaudhry,et al.  Modeling of Constituent Transport in Unsteady Flows in Pipe Networks , 1998 .

[16]  D. Kane,et al.  Water temperature controls in low arctic rivers , 2016 .

[17]  J. Kirchner,et al.  Temperature dynamics of a proglacial stream: Identifying dominant energy balance components and inferring spatially integrated hydraulic geometry , 2012 .

[18]  John C. Warner,et al.  Using the Model Coupling Toolkit to couple earth system models , 2008, Environ. Model. Softw..

[19]  Alan H. Karp,et al.  A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides , 1990, TOMS.

[20]  Cecelia DeLuca,et al.  The architecture of the Earth System Modeling Framework , 2003, Computing in Science & Engineering.

[21]  Keith Beven,et al.  The future of distributed models: model calibration and uncertainty prediction. , 1992 .

[22]  Jasper A Vrugt,et al.  Improved evolutionary optimization from genetically adaptive multimethod search , 2007, Proceedings of the National Academy of Sciences.

[23]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[24]  Weeratunge Malalasekera,et al.  An introduction to computational fluid dynamics - the finite volume method , 2007 .

[25]  B. Minsker,et al.  Cost‐effective long‐term groundwater monitoring design using a genetic algorithm and global mass interpolation , 2000 .

[26]  H. Fischer.  Mixing in Inland and Coastal Waters , 1979 .

[27]  Keith Beven,et al.  Equifinality, data assimilation, and uncertainty estimation in mechanistic modelling of complex environmental systems using the GLUE methodology , 2001 .

[28]  D. Brunt.  Notes on radiation in the atmosphere. I , 2007 .

[29]  Mary C. Hill,et al.  Towards uncertainty quantification and parameter estimation for Earth system models in a component-based modeling framework , 2016, Comput. Geosci..

[30]  S. Johnson,et al.  Factors influencing stream temperatures in small streams: substrate effects and a shading experiment , 2004 .

[31]  B. Neilson,et al.  Quantifying Reach‐Average Effects of Hyporheic Exchange on Arctic River Temperatures in an Area of Continuous Permafrost , 2019, Water Resources Research.

[32]  Roy A. Walters,et al.  Simulation of solute transport in a mountain pool‐and‐riffle stream: A transient storage model , 1983 .

[33]  M. Novello,et al.  Geodesic motion and confinement in Gödel's universe , 1983 .

[34]  Yaonan Zhang,et al.  Implementation and application of a distributed hydrological model using a component-based approach , 2016, Environ. Model. Softw..

[35]  James L. Martin,et al.  Hydrodynamics and Transport for Water Quality Modeling , 1998 .

[36]  D. Spalding.  A novel finite difference formulation for differential expressions involving both first and second derivatives , 1972 .

[37]  Avi Ostfeld,et al.  State of the Art for Genetic Algorithms and Beyond in Water Resources Planning and Management , 2010 .

[38]  Jeffery S. Horsburgh,et al.  Advancing the Open Modeling Interface (OpenMI) for integrated water resources modeling , 2018, Environ. Model. Softw..

[39]  Bruno De Fraine,et al.  OpenMI-based integrated sediment transport modelling of the river Zenne, Belgium , 2013, Environ. Model. Softw..

[40]  Remegio Confesor,et al.  Automatic Calibration of Hydrologic Models With Multi‐Objective Evolutionary Algorithm and Pareto Optimization 1 , 2007 .

[41]  I. S. Bowen.  The Ratio of Heat Losses by Conduction and by Evaporation from any Water Surface , 1926 .

[42]  G. McGregor,et al.  River energy budgets with special reference to river bed processes , 1998 .

[43]  David R. Maidment,et al.  Handbook of Hydrology , 1993 .

[44]  Ricardo Landa Becerra,et al.  Evolutionary Multiobjective Optimization in Materials Science and Engineering , 2009 .

[45]  Scott D. Peckham,et al.  A component-based approach to integrated modeling in the geosciences: The design of CSDMS , 2013, Comput. Geosci..

[46]  Narayan Kumar Shrestha,et al.  Trace Metal Modelling of a Complex River Basin Using the Suite of Models Integrated in the OpenMI Platform , 2018 .

[47]  AnneMarie Glose,et al.  Stream heat budget modeling with HFLUX: Model development, evaluation, and applications across contrasting sites and seasons , 2017, Environ. Model. Softw..

[48]  Bethany T. Neilson,et al.  Increasing parameter certainty and data utility through multi-objective calibration of a spatially distributed temperature and solute model , 2010 .

[49]  Bethany T. Neilson,et al.  Two‐zone transient storage modeling using temperature and solute data with multiobjective calibration: 2. Temperature and solute , 2010 .

[50]  Patrick M. Reed,et al.  How effective and efficient are multiobjective evolutionary algorithms at hydrologic model calibration , 2005 .

[52]  Robert M. Argent,et al.  Integrated models for environmental management: issues of process and design , 1999 .

[53]  J. Nash,et al.  River flow forecasting through conceptual models part I — A discussion of principles☆ , 1970 .

[54]  David K. Stevens,et al.  Data collection methodology for dynamic temperature model testing and corroboration , 2005 .

[55]  John W. Nicklow,et al.  Multi-objective automatic calibration of SWAT using NSGA-II , 2007 .

[56]  G. Amdhal,et al.  Validity of the single processor approach to achieving large scale computing capabilities , 1967, AFIPS '67 (Spring).

[57]  Andrea Emilio Rizzoli,et al.  Integrated Modelling Frameworks for Environmental Assessment and Decision Support , 2008 .