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Appendix S1. Interpolation method.

Figure S1. Mann–Kendall and Sen slope (events per year) analyses of trends for the frequency of 1-day events (cold using min and warm using max) at each stream. Significance at *P < 0.1, **P < 0.05, and ***P < 0.01.

Figure S2. Mann–Kendall and Sen slope analyses of trends (events per year) for the frequency of 7-day events (cold using min and warm using max) at each stream. Significance at *P < 0.1, **P < 0.05, and ***P < 0.01.

Figure S3. Mann–Kendall and Sen slope analyses of trends for the maximum duration (number of days) of the events per year (coldest below 1.5 ST using min and warmest above 1.5 ST using max) at each stream. Significance at *P < 0.1, **P < 0.05, and ***P < 0.01.

Figure S4. Mann-Kendall and Sen slope analyses (days per year) of trends for the distance (No. of days) between 1-day events (left panel: coldestt + 1−coldestt using min; right panel: warmestt + 1−warmestt using max) per year at each stream. We replaced tied temperature values with one value corresponding to their median of their timing. The line parallel to the x-axis represents the calendar day of 365. Significance at *P < 0.1, **P < 0.05, and ***P < 0.01.

Figure S5. Mann–Kendall and Sen slope analyses (days per year) of trends for the distance (No. of days) between 7-day MA events (left panel: coldestt + 1−coldestt using min; right panel: warmestt + 1−warmestt using max) events (7-day MA) per year at each stream. We replaced tied temperature values with one value corresponding to their median of their timing. The line parallel to the x-axis represents the calendar day of 365. Significance at *P < 0.1, **P < 0.05, and ***P < 0.01.

Figure S6. Timing (calendar day) of the 25th, 50th, and 75th percentile of the cumulative degree-days (using time series of daily mean) per year (period 1979–2009). Values denote magnitude of the trend represented by the Sen slope (days per decade). Significance at *P < 0.1, **P < 0.05, and ***P < 0.01.

Figure S7. Mann–Kendall and Sen slope (days per year) analyses of trends for the timing of the warmest events per year (1- and 7-dayMA using max) at each stream. Significance at *P < 0.1, **P < 0.05, and ***P < 0.01.

Figure S8. Mann–Kendall and Sen slope (days per year) analyses of trends for the timing of the coldest events per year (1- and 7-dayMA using min) at each stream. Calendar day scale is lagged +181 days. Significance at *P < 0.1, **P < 0.05, and ***P < 0.01.

Table S1. Trends in stream temperature magnitude over the period 1979–2009 with the seasonal Mann–Kendall test and Sen slope estimator (°C per decade).

Table S2. Significant (P < 0.1) Mann–Kendall P-values for magnitude metrics by month (period of record 1979–2009) showing increasing (black-bold), decreasing (red) or non-significant (grey) trends.

Table S3. Significant (P < 0.1) Mann–Kendall tau P-values for variability metrics (CV, VAR and range) by month (period of record 1979–2009) showing increasing (black-bold), decreasing (red) or non-significant (grey) trends.

Table S4. Synchrony analysis of temperature metrics for magnitude over the period 1979–2009 (n = 31) with the Pearson’s correlation coefficient (ρ = rho). Significant values in bold (P < 0.1). Annual values were estimated as mean of 12 monthly observations.

Table S5. Synchrony analysis of temperature metrics for variability over the period 1979–2009 (n = 31) with the Pearson’s correlation coefficient (ρ = rho). Significant values in bold (P < 0.1). Annual values were estimated as mean of 12 monthly observations.

Table S6. Synchrony analysis of temperature metrics for frequency of events over the period 1979–2009 (n = 31) with the Pearson’s correlation coefficient (ρ = rho). Significant values in bold (P < 0.1).

Table S7. Synchrony analysis of temperature metrics for duration of cold events over the period 1979–2009 (n = 31) with the Pearson’s correlation coefficient (ρ = rho). Significant values in bold (P < 0.1).

Table S8. Synchrony analysis of temperature metrics for duration of warm events over the period 1979–2009 (n = 31) with the Pearson’s correlation coefficient (ρ = rho). Significant values in bold (P < 0.1).

Table S9. Synchrony analysis of temperature metrics for timing (part 1/2) of events over the period 1979–2009 (n = 31) with the Pearson’s correlation coefficient (ρ = rho). Significant values in bold (P < 0.1).

Table S10. Synchrony analysis of temperature metrics for timing (part 2/2) of events over the period 1979–2009 (n = 31) with the Pearson’s correlation coefficient (ρ = rho). Significant values in bold (P < 0.1).

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