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Calculations S1.  Estimation of the time required for a regional bull trout distribution to shift a statistically significant elevation due to climate warming.

Calculations S2.  Example ISR calculation for a stream with 2% slope, a lapse rate of 0.8 °C/100 m, long-term warming rate of 0.1 °C decade−1, and no sinuosity adjustment.

Calculations S3.  Example variability calculation to determine the number of decades for a statistically significant isotherm shift to occur.

Table S1.  Vertical elevation displacement rate (m decade−1) for isotherms associated with different lapse rates and long-term warming rates.

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