1965-1969 1970-1974 1975-1979 1980-1984 1985-1989 1990-1994 1995-1999 2000-2004 2005-2009 linear model nonlinear model regulated Martis Creek, CA 30 20 10 0 regulated Clearwater River, ID 30 20 10 0 unregulated Fir Creek, OR 30 20 10 0 unregulated Elk Creek, OR Frequency 30 20 10 0 -15 -10 -5 0 5 10 15 -15 -10 -5 0 5 10 15 Residuals for the period 2005-2009 (°C) Supplementary Figure 1. Distribution of residuals for both linear and non-linear models using different time periods to predict warmer conditions (mean + 1 SD) for the period 2005-2009 in two unregulated and two regulated streams. 1965-1969 1970-1974 1975-1979 1980-1984 1985-1989 1990-1994 1995-1999 2000-2004 2005-2009 linear model nonlinear model 50 40 regulated Martis Creek, CA 30 20 10 0 50 40 regulated Clearwater River, ID 30 20 10 0 50 unregulated Fir Creek, OR 40 30 20 10 0 50 unregulated Elk Creek, OR Frequency 40 30 20 10 0 -10 -5 0 5 10 -10 -5 0 5 10 Residuals for the period 2005-2009 (°C) Supplementary Figure 2. Distribution of residuals for both linear and non-linear models using different time periods to predict colder conditions (mean - 1 SD) for the period 2005-2009 in two unregulated and two regulated streams. Supplementary Table 1. Characteristics of regulated and unregulated streams (n = 25) and time series of daily mean stream temperature examined in this study. Each year ends on Dec 31st. Sites selected as illustrative examples of long-term regulated and unregulated streams are sites 1, 12, 14 and 19. NA = Information was not available site time drainage area (km2) 102.9 series water regulation yes start 1973 end 2009 # of years 36.5 NA yes 1985 2009 24.3 1274.1 yes 1985 2009 24.2 25107.3 yes 1996 2009 14.0 2672.9 yes 1985 2009 24.4 site 1 ID 10339400 lat N long W Stream name 39.329 -120.118 Martis Creek, CA 2 11261100 37.248 -120.851 Salt Slough, CA 3 11262900 37.262 -120.907 Mud Slough, CA 4 11274550 37.432 -121.013 San Joaquin River, CA 5 11302500 37.777 -120.852 Stanislaus River, CA 6 12119000 47.483 -122.203 Cedar River, WA 448.4 yes 1992 2009 17.9 7 12147500 47.712 -121.789 NF Tolt River, WA 102.9 no 1995 2009 14.9 8 12147600 47.707 -121.600 SF Tolt River, WA 14.1 no 1994 2009 15.2 9 12148000 47.689 -121.713 SF Tolt River, WA 51.8 yes 1994 2009 16.0 10 12148300 47.697 -121.787 SF Tolt River Reg, WA 76.8 yes 1993 2009 16.0 11 12181000 48.534 -121.429 Skagit River, WA 3576.8 yes 1986 2009 23.8 12 13341050 46.500 -116.393 Clearwater River, ID 20665.1 yes 1964 2009 45.2 13 14138850 45.498 -122.012 Bull Run River, OR 124.5 yes 1977 2009 32.2 14 14138870 45.480 -122.026 Fir Creek, OR 14.0 no 1977 2009 32.2 15 14138900 45.494 -122.036 NF Bull Run River, OR 21.7 yes 1978 2009 31.3 16 14139800 45.445 -122.110 SF Bull Run River, OR 40.7 no 1978 2009 31.3 17 14207200 45.357 -122.684 Tualatin River, OR NA yes 1991 2009 18.7 18 14337600 42.655 -122.715 Rogue River, OR 2438.1 yes 1970 2009 39.4 19 14338000 42.679 -122.742 Elk Creek, OR 335.9 no 1973 2009 36.6 20 15261000 60.481 -149.881 Cooper Creek, AK 125.9 no 1998 2009 11.4 21 15295700 57.695 -153.162 Terror River, AK 79.5 no 1981 2009 28.1 22 15297610 55.178 -162.688 Russell Creek, AK 80.0 no 1996 2009 13.4 23 GSMACK 44.219 122.167 Mack Creek, OR 5.8 no 1987 2009 22.4 24 TSLOOK 44.225 122.122 Lookout Creek, OR 4.9 no 1979 2009 30.6 25 TSMCRA 44.256 122.168 McRae Creek, OR 5.9 no 1976 2009 33.4 Supplementary Table 2. Root mean square error (RMSE) values for both linear and non-linear models using different time periods to predict colder and warmer conditions (mean ± 1 SD) for the period 2005-2009 in two unregulated and two regulated streams. model regulation Site/time period Martis Creek, CA 65-69 70-74 75-79 2.11 Clearwater River, ID 3.95 2.41 2.30 RMSE across time periods 80-84 85-89 90-94 95-99 00-04 2.07 2.08 1.99 2.30 1.99 05-09 1.98 regulated 2.19 2.36 2.09 1.93 1.68 1.62 1.27 1.18 1.20 1.24 1.19 1.18 linear Fir Creek, OR unregulated Elk Creek, OR 1.87 1.84 1.91 1.95 1.77 1.91 1.73 Martis Creek, CA 1.78 1.69 1.67 1.57 1.93 1.58 1.55 2.47 2.40 2.42 2.15 1.78 1.47 1.39 1.18 1.12 1.13 1.16 1.12 1.11 1.65 1.72 1.81 1.63 1.72 1.57 regulated Clearwater River, ID 4.00 2.57 nonlinear Fir Creek, OR unregulated Elk Creek, OR 1.71