Prediction of river water temperature: a comparison between a new family of hybrid models and statistical approaches

River water temperature is a key physical variable controlling several chemical, biological and ecological processes. Its reliable prediction is a main issue in many environmental applications, which however is hampered by data scarcity, when using data-demanding deterministic models, and modelling limitations, when using simpler statistical models. In this work we test a suite of models belonging to air2stream family, which are characterized by a hybrid formulation that combines a physical derivation of the key equation with a stochastic calibration of parameters. The air2stream models rely solely on air temperature and streamflow, and are of similar complexity as standard statistical models. The performances of the different versions of air2stream in predicting river water temperature are compared with those of the most common statistical models typically used in the literature. To this aim, a dataset of 38 Swiss rivers is used, which includes rivers classified into four different categories according to their hydrological characteristics: low-land natural rivers, lake outlets, snow-fed rivers and regulated rivers. The results of the analysis provide practical indications regarding the type of model that is most suitable to simulate river water temperature across different time scales (from daily to seasonal) and for different hydrological regimes. A model intercomparison exercise suggests that the family of air2stream hybrid models generally outperforms statistical models, while cross-validation conducted over a 30-year period indicates that they can be suitably adopted for long-term analyses. Copyright © 2016 John Wiley & Sons, Ltd.

[1]  B. Majone,et al.  The role of stratification on lakes' thermal response: The case of Lake Superior , 2015 .

[2]  Thorsten Wagener,et al.  Investigating controls on the thermal sensitivity of Pennsylvania streams , 2012 .

[3]  D. Hannah,et al.  Recent advances in stream and river temperature research , 2008 .

[4]  H. Fowler,et al.  Modeling the impacts of future climate change on water resources for the Gállego river basin (Spain) , 2012 .

[5]  D. Hannah,et al.  Spatial and temporal water column and streambed temperature dynamics within an alpine catchment: implications for benthic communities , 2005 .

[6]  Agnès Ducharne,et al.  Importance of stream temperature to climate change impact on water quality , 2007 .

[7]  Mysore G. Satish,et al.  Predicting river water temperatures using the equilibrium temperature concept with application on Miramichi River catchments (New Brunswick, Canada) , 2005 .

[8]  Heinz G. Stefan,et al.  STREAM TEMPERATURE ESTIMATION FROM AIR TEMPERATURE , 1993 .

[9]  G. Zolezzi,et al.  Thermal wave dynamics in rivers affected by hydropeaking , 2010 .

[10]  Heinz G. Stefan,et al.  STREAM TEMPERATURE CORRELATIONS WITH AIR TEMPERATURES IN MINNESOTA: IMPLICATIONS FOR CLIMATE WARMING 1 , 1998 .

[11]  Guido Zolezzi,et al.  Assessing hydrological alterations at multiple temporal scales: Adige River, Italy , 2009 .

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

[13]  R. Haggerty,et al.  The paradox of cooling streams in a warming world: Regional climate trends do not parallel variable local trends in stream temperature in the Pacific continental United States , 2012 .

[14]  S. Piccolroaz Prediction of lake surface temperature using the air2water model: guidelines, challenges, and future perspectives , 2016 .

[15]  J. C. Geyer,et al.  The Response of Water Temperatures to Meteorological Conditions , 1968 .

[16]  Renata E. Hari,et al.  The physical impact of the late 1980s climate regime shift on Swiss rivers and lakes , 2013 .

[17]  Roger C. Bales,et al.  Estimating Stream Temperature from Air Temperature: Implications for Future Water Quality , 2005 .

[18]  V. Kothandaraman AIR‐WATER TEMPERATURE RELATIONSHIP IN ILLINOIS RIVER , 1972 .

[19]  Daniel R. Miller,et al.  The Network Dynamics Hypothesis: How Channel Networks Structure Riverine Habitats , 2004 .

[20]  Michael Lehning,et al.  Thermodynamics in the hydrologic response: Travel time formulation and application to Alpine catchments , 2015 .

[21]  Charles P.-A. Bourque,et al.  Potential surface temperature and shallow groundwater temperature response to climate change: an example from a small forested catchment in east-central New Brunswick (Canada) , 2013 .

[22]  A. Wüest,et al.  Comparing effects of oligotrophication and upstream hydropower dams on plankton and productivity in perialpine lakes , 2007 .

[23]  T. Mayer Controls of summer stream temperature in the Pacific Northwest , 2012 .

[24]  D. Hannah,et al.  Alpine Stream Temperature Response to Storm Events , 2007 .

[25]  Richard Frenette,et al.  Flow and Erosive Stresses at the Base of a Headcut , 2005 .

[26]  Georgia Destouni,et al.  Hydroclimatic shifts driven by human water use for food and energy production , 2013 .

[27]  Heinz G. Stefan,et al.  LINEAR AIR/WATER TEMPERATURE CORRELATIONS FOR STREAMS DURING OPEN WATER PERIODS , 2000 .

[28]  James Kennedy,et al.  Particle swarm optimization , 1995, Proceedings of ICNN'95 - International Conference on Neural Networks.

[29]  Joseph H. A. Guillaume,et al.  Characterising performance of environmental models , 2013, Environ. Model. Softw..

[30]  Mysore G. Satish,et al.  Modelling of maximum daily water temperatures in a small stream using air temperatures , 2001 .

[31]  Jason B. Dunham,et al.  Can air temperature be used to project influences of climate change on stream temperature? , 2014 .

[32]  Heinz G. Stefan,et al.  A nonlinear regression model for weekly stream temperatures , 1998 .

[33]  G. Zolezzi,et al.  Thermopeaking in Alpine streams: event characterization and time scales , 2010 .

[34]  Bernard A. Engel,et al.  Stream Temperature Dynamics in Upland Agricultural Watersheds , 2000 .

[35]  G. Zolezzi,et al.  Characterization of sub‐daily thermal regime in alpine rivers: quantification of alterations induced by hydropeaking , 2016 .

[36]  Heinz G. Stefan,et al.  Stream temperature/air temperature relationship : a physical interpretation , 1999 .

[37]  Desmond E. Walling,et al.  Water–air temperature relationships in a Devon river system and the role of flow , 2003 .

[38]  Steven C. Chapra,et al.  Temperature Model for Highly Transient Shallow Streams , 1997 .

[39]  Jan Seibert,et al.  Reliability of Model Predictions Outside Calibration Conditions , 2003 .

[40]  Marco Toffolon,et al.  A simple lumped model to convert air temperature into surface water temperature in lakes , 2013 .

[41]  Marco Toffolon,et al.  A hybrid model for river water temperature as a function of air temperature and discharge , 2015 .

[42]  M. Parlange,et al.  Stream temperature prediction in ungauged basins: review of recent approaches and description of a new physics-derived statistical model , 2015 .

[43]  Bernard Bobée,et al.  A Review of Statistical Water Temperature Models , 2007 .

[44]  Heinz G. Stefan,et al.  Stream temperature dynamics: Measurements and modeling , 1993 .

[45]  V. Smakhtin Low flow hydrology: a review , 2001 .

[46]  S. Schmutz,et al.  Assessing the impact of a downscaled climate change simulation on the fish fauna in an Inner-Alpine River , 2007, International journal of biometeorology.

[47]  B. Majone,et al.  Prediction of surface temperature in lakes with different morphology using air temperature , 2014 .

[48]  Hoshin Vijai Gupta,et al.  Do Nash values have value? , 2007 .

[49]  D. Caissie The thermal regime of rivers : a review , 2006 .

[50]  Günter Blöschl,et al.  Time stability of catchment model parameters: Implications for climate impact analyses , 2011 .

[51]  E. Toro,et al.  WAF Method and Splitting Procedure for Simulating Hydro- and Thermal-Peaking Waves in Open-Channel Flows , 2009 .