Register      Login
Marine and Freshwater Research Marine and Freshwater Research Society
Advances in the aquatic sciences
RESEARCH ARTICLE (Open Access)

A statistical model for predicting water temperature in temperate rivers and streams

Patricia Y. Koh https://orcid.org/0000-0001-9079-4323 A * , Jian D. L. Yen B , Jarod P. Lyon B , Matt West A and John R. Morrongiello https://orcid.org/0000-0002-9608-4151 A
+ Author Affiliations
- Author Affiliations

A School of Biosciences, The University of Melbourne, Melbourne, Vic., Australia.

B Arthur Rylah Institute, Heidelberg, Vic., Australia.

* Correspondence to: pko@student.unimelb.edu.au

Handling Editor: Hayden Schilling

Marine and Freshwater Research 76, MF24152 https://doi.org/10.1071/MF24152
Submitted: 9 July 2024  Accepted: 15 July 2025  Published: 6 August 2025

© 2025 The Author(s) (or their employer(s)). Published by CSIRO Publishing. This is an open access article distributed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND)

Abstract

Context

Water temperature affects the biology and ecology of many freshwater species. However, in situ water temperature measurements are not always available because of spatial or temporal gaps in observations.

Aims

We evaluated the importance of different environmental variables in predicting water temperature in temperate Australian rivers and streams and developed a water temperature model for use in these environments.

Methods

We used linear mixed models that incorporated combinations of air temperature, stream flow and catchment variables to predict daily water temperatures.

Key results

Air temperature integrated over the preceding 7 days, in conjunction with elevation, were very good predictors of water temperature. However, stream flow did not significantly improve model predictions.

Conclusions

Air temperature explained the most variation in water temperature, and elevation also improved model predictions.

Implications

Our approach demonstrated that water temperature in temperate rivers and streams can be readily modelled using elevation and air temperature across large spatial and temporal scales. Our work has provided an easily implementable method to fill gaps in monitoring networks in temperate climate zones exhibiting warm summers. The predictions created by our model will have most use in studies where researchers want to explore the impacts of relative changes in water temperature.

Keywords: air temperature, Australia, elevation, freshwater, lotic, river temperature, statistical models, stream temperature, water temperature.

References

Abdi R, Endreny T (2019) A river temperature model to assist managers in identifying thermal pollution causes and solutions. Water 11(5), 1060.
| Crossref | Google Scholar |

Agudelo-Vera C, Avvedimento S, Boxall J, Creaco E, De Kater H, Di Nardo A, Djukic A, Douterelo I, Fish KE, Iglesias Rey PL, Jacimovic N, Jacobs HE, Kapelan Z, Martinez Solano J, Montoya Pachongo C, Piller O, Quintiliani C, Ručka J, Tuhovčák L, Blokker M (2020) Drinking water temperature around the globe: understanding, policies, challenges and opportunities. Water 12(4), 1049.
| Crossref | Google Scholar |

Ahmadi-Nedushan B, St-Hilaire A, Ouarda TBMJ, Bilodeau L, Robichaud É, Thiémonge N, Bobée B (2007) Predicting river water temperatures using stochastic models: case study of the Moisie River (Québec, Canada). Hydrological Processes 21(1), 21-34.
| Crossref | Google Scholar |

Arismendi I, Johnson SL, Dunham JB, Haggerty R (2013) Descriptors of natural thermal regimes in streams and their responsiveness to change in the Pacific Northwest of North America. Freshwater Biology 58(5), 880-894.
| Crossref | Google Scholar |

Asarian JE, Robinson C, Genzoli L (2023) Modeling seasonal effects of river flow on water temperatures in an agriculturally dominated California River. Water Resources Research 59(3), e2022WR032915.
| Crossref | Google Scholar |

Bates D, Mächler M, Bolker B, Walker S (2015) Fitting linear mixed-effects models using lme4. Journal of Statistical Software 67(1), 1-48.
| Crossref | Google Scholar |

Benyahya L (2014) Workshop on the development & implementation of a water temperature monitoring network for Atlantic salmon (Salmo salar) rivers in eastern Canada held in Quebec City, Quebec, 22–23 January 2014: abstracts and proceedings. Fisheries and Oceans Canada, Science Branch, Diadromous Fish Section, Moncton, NB, Canada.

Benyahya L, Caissie D, St-Hilaire A, Ouarda TBMJ, Bobée B (2007) A review of statistical water temperature models. Canadian Water Resources Journal 32(3), 179-192.
| Crossref | Google Scholar |

Bond N, Thomson J, Reich P, Stein J (2011) Using species distribution models to infer potential climate change-induced range shifts of freshwater fish in south-eastern Australia. Marine and Freshwater Research 62(9), 1043-1061.
| Crossref | Google Scholar |

Booker DJ, Whitehead AL (2022) River water temperatures are higher during lower flows after accounting for meteorological variability. River Research and Applications 38, 3-22.
| Crossref | Google Scholar |

Broadmeadow S, Nisbet TR (2004) The effects of riparian forest management on the freshwater environment: a literature review of best management practice. Hydrology and Earth System Sciences 8(3), 286-305.
| Crossref | Google Scholar |

Buisson L, Blanc L, Grenouillet G (2008) Modelling stream fish species distribution in a river network: the relative effects of temperature versus physical factors. Ecology of Freshwater Fish 17(2), 244-257.
| Crossref | Google Scholar |

Bureau of Meteorology (2017) Climate classification maps. (BOM) Available at http://www.bom.gov.au/climate/maps/averages/climate-classification/?maptype=tmp_zones [Verified 1 May 2024]

Caissie D (2006) The thermal regime of rivers: a review. Freshwater Biology 51(8), 1389-1406.
| Crossref | Google Scholar |

Caissie D, Satish MG, El-Jabi N (2007) Predicting water temperatures using a deterministic model: application on Miramichi River catchments (New Brunswick, Canada). Journal of Hydrology 336(3–4), 303-315.
| Crossref | Google Scholar |

De Rose RC, Stewardson MJ, Harman C (2008) Downstream hydraulic geometry of rivers in Victoria, Australia. Geomorphology 99(1–4), 302-316.
| Crossref | Google Scholar |

Dugdale SJ, Hannah DM, Malcolm IA (2017) River temperature modelling: a review of process-based approaches and future directions. Earth-Science Reviews 175, 97-113.
| Crossref | Google Scholar |

Dugdale SJ, Kelleher CA, Malcolm IA, Caldwell S, Hannah DM (2019) Assessing the potential of drone-based thermal infrared imagery for quantifying river temperature heterogeneity. Hydrological Processes 33(7), 1152-1163.
| Crossref | Google Scholar |

Dunham J, Chandler G, Rieman B, Martin D (2005) Measuring stream temperature with digital data loggers: a user’s guide. General Technical Report RMRS-GTR-150, USDA Forest Service, Rocky Mountain Research Station, Fort Collins, CO, USA. 10.2737/RMRS-GTR-150

Erickson TR, Stefan HG (2000) Linear Air/water temperature correlations for streams during open water periods. Journal of Hydrologic Engineering 5(3), 317-321.
| Crossref | Google Scholar |

Finlayson BL, McMahon TA (1988) Australia v the world: a comparative analysis of streamflow characteristics. Available at https://api.semanticscholar.org/CorpusID:227657878

Garner G, Malcolm IA, Sadler JP, Hannah DM (2014) What causes cooling water temperature gradients in a forested stream reach? Hydrology and Earth System Sciences 18(2), 5361-5376.
| Crossref | Google Scholar |

Garner G, Malcolm IA, Sadler JP, Hannah DM (2017) The role of riparian vegetation density, channel orientation and water velocity in determining river temperature dynamics. Journal of Hydrology 553, 471-485.
| Crossref | Google Scholar |

Gatien P, Arsenault R, Martel J-L, St-Hilaire A (2023) Using the ERA5 and ERA5-Land reanalysis datasets for river water temperature modelling in a data-scarce region. Canadian Water Resources Journal/Revue Canadienne Des Ressources Hydriques 48(2), 93-110.
| Crossref | Google Scholar |

Gu R, Montgomery S, Austin TA (1998) Quantifying the effects of stream discharge on summer river temperature. Hydrological Sciences Journal 43(6), 885-904.
| Crossref | Google Scholar |

Hauser S, Grams CM, Reeder MJ, McGregor S, Fink AH, Quinting JF (2020) A weather system perspective on winter–spring rainfall variability in southeastern Australia during El Niño. Quarterly Journal of the Royal Meteorological Society 146(731), 2614-2633.
| Crossref | Google Scholar |

Hébert C, Caissie D, Satish MG, El-Jabi N (2015) Predicting hourly stream temperatures using the equilibrium temperature model. Journal of Water Resource and Protection 07(4), 322-338.
| Crossref | Google Scholar |

Hersbach H, Bell B, Berrisford P, Biavati G, Horányi A, Muñoz Sabater J, Nicolas J, Peubey C, Radu R, Rozum I, Schepers D, Simmons A, Soci C, Dee D, Thépaut J-N (2023) ERA5 hourly data on pressure levels from 1940 to present. (Climate Data Store) [Dataset] doi:10.24381/CDS.BD0915C6

Hollister JW, Robitaille AL, Beck MW, Johnson JM, Shah T, Nowosad J (2023) Jhollist/elevatr: CRAN Release v0.99.0. Zenodo 2023, v0.99.0. [Program data, published 11 September 2023].
| Crossref | Google Scholar |

Isaak DJ, Horan DL (2011) An evaluation of underwater epoxies to permanently install temperature sensors in mountain streams. North American Journal of Fisheries Management 31(1), 134-137.
| Crossref | Google Scholar |

Isaak DJ, Luce CH (2023) Elevation-dependent warming of streams in mountainous regions: implications for temperature modeling and headwater climate refugia. Canadian Water Resources Journal/Revue Canadienne Des Ressources Hydriques 48(2), 167-188.
| Crossref | Google Scholar |

Isaak DJ, Wenger SJ, Peterson EE, Ver Hoef JM, Nagel DE, Luce CH, Hostetler SW, Dunham JB, Roper BB, Wollrab SP, Chandler GL, Horan DL, Parkes-Payne S (2017) The NorWeST summer stream temperature model and scenarios for the Western US: a crowd-sourced database and new geospatial tools foster a user community and predict broad climate warming of rivers and streams. Water Resources Research 53(11), 9181-9205.
| Crossref | Google Scholar |

Kennard MJ, Pusey BJ, Olden JD, Mackay SJ, Stein JL, Marsh N (2010) Classification of natural flow regimes in Australia to support environmental flow management. Freshwater Biology 55(1), 171-193.
| Crossref | Google Scholar |

Klinges DH, Duffy JP, Kearney MR, Maclean IMD (2022) mcera5: driving microclimate models with ERA5 global gridded climate data. Methods in Ecology and Evolution 13(7), 1402-1411.
| Crossref | Google Scholar |

Kurylyk BL, MacQuarrie KTB, Caissie D, McKenzie JM (2015) Shallow groundwater thermal sensitivity to climate change and land cover disturbances: derivation of analytical expressions and implications for stream temperature modeling. Hydrology and Earth System Sciences 19(5), 2469-2489.
| Crossref | Google Scholar |

Leach JA, Moore RD (2019) Empirical stream thermal sensitivities may underestimate stream temperature response to climate warming. Water Resources Research 55(7), 5453-5467.
| Crossref | Google Scholar |

Leopold LB, Maddock T Jr (1953) The hydraulic geometry of stream channels and some physiographic implications. Professional Paper 252, US Department of the Interior, US Geological Survey, Washington, DC, USA. 10.3133/pp252

Letcher BH, Hocking DJ, O’Neil K, Whiteley AR, Nislow KH, O’Donnell MJ (2016) A hierarchical model of daily stream temperature using air–water temperature synchronization, autocorrelation, and time lags. PeerJ 4, e1727.
| Crossref | Google Scholar | PubMed |

Lisi PJ, Schindler DE, Cline TJ, Scheuerell MD, Walsh PB (2015) Watershed geomorphology and snowmelt control stream thermal sensitivity to air temperature. Geophysical Research Letters 42(9), 3380-3388.
| Crossref | Google Scholar |

Luce C, Staab B, Kramer M, Wenger S, Isaak D, McConnell C (2014) Sensitivity of summer stream temperatures to climate variability in the Pacific Northwest. Water Resources Research 50(4), 3428-3443.
| Crossref | Google Scholar |

Mohseni O, Stefan HG (1999) Stream temperature/air temperature relationship: a physical interpretation. Journal of Hydrology 218(3–4), 128-141.
| Crossref | Google Scholar |

Moore RD (Dan) (2006) Stream temperature patterns in British Columbia, Canada, based on routine spot measurements. Canadian Water Resources Journal 31(1), 41-56.
| Crossref | Google Scholar |

Moriasi DN, Gitau MW, Pai N, Daggupati P (2015) Hydrologic and water quality models: performance measures and evaluation criteria. Transactions of the ASABE 58(6), 1763-1785.
| Crossref | Google Scholar |

Morrongiello JR, Crook DA, King AJ, Ramsey DSL, Brown P (2011) Impacts of drought and predicted effects of climate change on fish growth in temperate Australian lakes. Global Change Biology 17(2), 745-755.
| Crossref | Google Scholar |

Morrongiello JR, Walsh CT, Gray CA, Stocks JR, Crook DA (2014) Environmental change drives long-term recruitment and growth variation in an estuarine fish. Global Change Biology 20(6), 1844-1860.
| Crossref | Google Scholar | PubMed |

Nicholls N, Drosdowsky W, Lavery B (1997) Australian rainfall variability and change. Weather 52(3), 66-72.
| Crossref | Google Scholar |

Ohlberger J (2013) Climate warming and ectotherm body size – from individual physiology to community ecology. Functional Ecology 27(4), 991-1001.
| Crossref | Google Scholar |

O’Carroll AG, Armstrong EM, Beggs HM, Bouali M, Casey KS, Corlett GK, Dash P, Donlon CJ, Gentemann CL, Høyer JL, Ignatov A, Kabobah K, Kachi M, Kurihara Y, Karagali I, Maturi E, Merchant CJ, Marullo S, Minnett PJ, Pennybacker M, Ramakrishnan B, Ramsankaran R, Santoleri R, Sunder S, Saux Picart S, Vázquez-Cuervo J, Wimmer W (2019) Observational needs of sea surface temperature. Frontiers in Marine Science 6, 420.
| Crossref | Google Scholar |

Peel MC, Finlayson BL, McMahon TA (2007) Updated world map of the Köppen–Geiger climate classification. Hydrology and Earth System Sciences 11(5), 1633-1644.
| Crossref | Google Scholar |

Riemer K, Anderson-Teixeira KJ, Smith FA, Harris DJ, Ernest SKM (2018) Body size shifts influence effects of increasing temperatures on ectotherm metabolism. Global Ecology and Biogeography 27(8), 958-967.
| Crossref | Google Scholar |

Rosencranz J, Cuddington K, Brook M, Koops MA, Drake DA (2021) Data-limited models to predict river temperatures for aquatic species at risk. Canadian Journal of Fisheries and Aquatic Sciences 78(9), 1268-1277.
| Crossref | Google Scholar |

Ryan T, Webb A, Lennie R, Lyon J (2001) Status of cold water releases from Victorian dams. Department of Natural Resources and Environment, Melbourne, Vic., Australia.

Shackleton ME, Siebers AR, Suter PJ, Lines O, Holland A, Morgan JW, Silvester E (2024) Out of the frying pan into the fire: predicted warming in alpine streams suggests hidden consequences for aquatic ectotherms. Global Change Biology 30(6), e17364.
| Crossref | Google Scholar | PubMed |

Siegel JE, Volk CJ (2019) Accurate spatiotemporal predictions of daily stream temperature from statistical models accounting for interactions between climate and landscape. PeerJ 7, e7892.
| Crossref | Google Scholar | PubMed |

Sinclair Knight Merz (2005) Temperature monitoring of dam releases in Victorian rivers 2002–2004. Department of Sustainability and Environment, Melbourne, Vic., Australia.

Smith K, Lavis ME (1975) Environmental influences on the temperature of a small upland stream. Oikos 26(2), 228-236.
| Crossref | Google Scholar |

Somers LD, McKenzie JM (2020) A review of groundwater in high mountain environments. WIREs Water 7(6), e1475.
| Crossref | Google Scholar |

Stefan HG, Preud’homme EB (1993) Stream temperature estimation from air temperature. JAWRA Journal of the American Water Resources Association 29(1), 27-45.
| Crossref | Google Scholar |

Stoffels RJ, Richardson AJ, Vogel MT, Coates SP, Müller WJ (2016) What do metabolic rates tell us about thermal niches? Mechanisms driving crayfish distributions along an altitudinal gradient. Oecologia 180, 45-54.
| Crossref | Google Scholar | PubMed |

Struthers DP, Gutowsky LFG, Lucas TCD, Mochnacz NJ, Carli CM, Taylor MK (2024) Statistical stream temperature modelling with SSN and INLA: an introduction for conservation practitioners. Canadian Journal of Fisheries and Aquatic Sciences 81(4), 417-432.
| Crossref | Google Scholar |

Te Wierik SA, Cammeraat ELH, Gupta J, Artzy-Randrup YA (2021) Reviewing the impact of land use and land-use change on moisture recycling and precipitation patterns. Water Resources Research 57(7), e2020WR029234.
| Crossref | Google Scholar |

Thornton PE, Shrestha R, Thornton M, Kao S-C, Wei Y, Wilson BE (2021) Gridded daily weather data for North America with comprehensive uncertainty quantification. Scientific Data 8, 190.
| Crossref | Google Scholar | PubMed |

Tonkin Z, Stuart I, Kitchingman A, Thiem JD, Zampatti B, Hackett G, Koster W, Koehn J, Morrongiello J, Mallen-Cooper M, Lyon J (2019) Hydrology and water temperature influence recruitment dynamics of the threatened silver perch Bidyanus bidyanus in a regulated lowland river. Marine and Freshwater Research 70(9), 1333-1344.
| Crossref | Google Scholar |

Torgersen CE, Faux RN, McIntosh BA, Poage NJ, Norton DJ (2001) Airborne thermal remote sensing for water temperature assessment in rivers and streams. Remote Sensing of Environment 76(3), 386-398.
| Crossref | Google Scholar |

Van Vliet MTH, Ludwig F, Zwolsman JJG, Weedon GP, Kabat P (2011) Global river temperatures and sensitivity to atmospheric warming and changes in river flow. Water Resources Research 47(2), W02544.
| Crossref | Google Scholar |

Ver Hoef JM, Peterson E, Theobald D (2006) Spatial statistical models that use flow and stream distance. Environmental and Ecological Statistics 13, 449-464.
| Crossref | Google Scholar |

Webb BW, Clack PD, Walling DE (2003) Water–air temperature relationships in a Devon river system and the role of flow. Hydrological Processes 17(15), 3069-3084.
| Crossref | Google Scholar |

Woods T, Freeman MC, Krause KP, Maloney KO (2023) Observed and projected functional reorganization of riverine fish assemblages from global change. Global Change Biology 29(13), 3759-3780.
| Crossref | Google Scholar | PubMed |

Zhao Q, Van Den Brink PJ, Xu C, Wang S, Clark AT, Karakoç C, Sugihara G, Widdicombe CE, Atkinson A, Matsuzaki S-IS, Shinohara R, He S, Wang YXG, De Laender F (2023) Relationships of temperature and biodiversity with stability of natural aquatic food webs. Nature Communications 14, 3507.
| Crossref | Google Scholar | PubMed |

Zhi W, Klingler C, Liu J, Li L (2023) Widespread deoxygenation in warming rivers. Nature Climate Change 13, 1105-1113.
| Crossref | Google Scholar |

Zhu S, Piotrowski AP (2020) River/stream water temperature forecasting using artificial intelligence models: a systematic review. Acta Geophysica 68, 1433-1442.
| Crossref | Google Scholar |