Modeling Seasonal Effects of River Flow on Water Temperatures in an
Agriculturally Dominated California River
Abstract
Low streamflows can increase vulnerability to warming, impacting
coldwater fish. Water managers need tools to quantify these impacts and
predict future water temperatures. Contrary to most statistical models’
assumptions, many seasonally changing factors (e.g., water sources and
solar radiation) cause relationships between flow and water temperature
to vary throughout the year. Using 21 years of air temperature and flow
data, we modeled daily water temperatures in California’s
snowmelt-driven Scott River where agricultural diversions consume most
summer surface flows. We used generalized additive models to test
time-varying and nonlinear effects of flow on water temperatures. Models
that represented seasonally varying flow effects with intermediate
complexity outperformed simpler models assuming constant relationships
between water temperature and flow. Cross-validation error of the
selected model was ≤1.2 °C. Flow variation had stronger effects on water
temperatures in April–July than in other months. We applied the model
to predict effects of instream flow scenarios proposed by regulatory
agencies. Relative to historic conditions, the higher instream flow
scenario would reduce annual maximum temperature from 25.2 °C to 24.1
°C, reduce annual exceedances of 22 °C (a cumulative thermal stress
metric) from 106 to 51 degree-days, and delay onset of water
temperatures >22 °C during some drought years. Testing the
same modeling approach at nine additional sites showed similar accuracy
and flow effects. These methods can be applied to streams with long-term
flow and water temperature records to fill data gaps, identify periods
of flow influence, and predict temperatures under flow management
scenarios.