Citation: McBean, E.; Bhatti, M.;
Singh, A.; Mattern, L.; Murison, L.;
Delaney, P. Temperature Modeling, a
Key to Assessing Impact on Rivers
Due to Urbanization and Climate
Change. Water 2022, 14, 1994.
https://doi.org/10.3390/w14131994
Academic Editors: Md Jahangir
Alam, Monzur A. Imteaz
and Abdallah Shanbleh
Received: 22 April 2022
Accepted: 17 June 2022
Published: 22 June 2022
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water
Article
Temperature Modeling, a Key to Assessing Impact on Rivers
Due to Urbanization and Climate Change
Edward McBean
1
, Munir Bhatti
1,
*, Amanjot Singh
2
, Logan Mattern
1
, Lorna Murison
2
and Patrick Delaney
3
1
School of Engineering, University of Guelph, 50 Stone Rd., Guelph, ON N1G 2W1, Canada;
emcbean@uoguelph.ca (E.M.); loganmattern@gmail.com (L.M.)
2
Water and Climate Change Science, Credit Valley Conservation, Mississauga, ON L5N 6R4, Canada;
amanjot.singh@cvc.ca (A.S.); lorna.murison@cvc.ca (L.M.)
3
Danish Hydraulic Institute (DHI), Cambridge, ON N3H 3N1, Canada; pad@dhigroup.com
* Correspondence: munirabhatti@gmail.com
Abstract: With widespread ongoing urbanization and as climate change continues, the importance
of protecting the water quality of streams and lakes is intensifying. However, while many water
quality constituents in lakes and rivers are of overall interest, water temperature is a ‘key’ variable
as temperature influences mixing within a waterbody, influences the acceptability of the habitat for
flora and fauna, and serves as a guide to the general health of a stream. To enable the assessment, a
physics-based, deterministic hydraulic and heat-balance modeling procedure using the combination
of MIKE SHE, MIKE HYDRO and ECO Lab is described to assess heat transfer magnitudes in portions
of the Credit River, Ontario. Changes in instream temperature regimes are examined, including both
frequency and spatial extent, providing insights into the impacts of urbanization in terms of seasonal
temperature shifts arising from land use changes. For flow and temperature regimes, Nash–Sutcliffe
model efficiency coefficient (NSE) values of 0.49 and 0.955 were achieved, respectively, for current
threshold conditions. Durations of temperature increases from threshold levels indicate that land use
changes from current agriculture conditions to urbanization may change stream water temperatures
for 9% of the time by 1
◦
C, and 2% of the time by 2
◦
C for distances of 1000 m downstream,
because of land use change from agriculture to low-density urbanization, and for 20% of the time by
1
◦
C, and 4% of the time by 2
◦
C at distances of 1000 m downstream with land use change to high-
density urbanization. With climate change RCP 4.5 Scenario in 2050 (Base, for a Wet Year—2017), the
continuous amount of time the stream water temperature remains at elevated temperatures of more
than 3
◦
C (from 5000 m to 25,607 m from the most upstream point of Fletchers Creek) for a distance
of 20,000 m is more than 13 h. These elevations in temperature may have serious implications for
flora and fauna in the creek, particularly impacting the cold-water and mixed-water fish species.
Keywords: physics-based hydraulic model; heat balance; land use change; climate change; MIKE
SHE and MIKE HYDRO; ECO Lab
1. Introduction
With widespread and extensive urbanization, and as climate change continues, the
challenges will increase to protect the water quality of ambient lakes and rivers. A fun-
damental part of the challenges involves ensuring there is sufficient accuracy implicit in
assessing the impacts of urbanization and climate change, meaning there is need for a
mathematical model able to assess the degree of change, and the potential merits of various
protective actions. However, to ensure that such needs are correctly responded to, there
is a key need to ensure the capability of a model is sufficiently robust to accurately assess
the impacts.
While many water quality constituents in lakes and rivers are of overall interest,
water temperature is a ‘key’ variable as temperature influences mixing within a waterbody,
Water 2022, 14, 1994. https://doi.org/10.3390/w14131994 https://www.mdpi.com/journal/water