S3 Table: Slopes and intercepts for monthly Tmin and Tmax distribution metrics using the modeled SNOTEL + COOP data, 1948 – 2012. We used the non-parametric Theil-Sen estimator to calculate the slopes of these descriptive metrics as a function of time (i.e., trend) and the MannKendall test to test if the slopes were significantly different than zero. Only metrics with p <0.11 are shown. Month January Metric Slope th 0.042 25 th 0.044 50 0.046 75th 0.043 Mean Skewness February 25th 50th Skewness Kurtosis Tmin Intercept -16.917 -14.835 -12.973 -14.706 p 0.019 0.008 0.006 0.016 -0.006 -0.008 0.450 0.292 0.003 0.012 Slope Tmax Intercept p 0.046 0.049 0.049 0.048 0.004 -7.074 -5.825 -4.008 -5.378 0.900 0.001 0.000 0.001 0.001 0.105 0.023 0.022 -4.005 -2.479 0.083 0.098 March 25th 50th 75th Mean Skewness 0.063 0.063 0.055 0.060 -13.169 -11.991 -9.650 -11.484 0.000 0.000 0.000 0.000 0.062 0.062 0.064 0.063 0.002 -1.654 -0.119 1.755 0.161 0.708 0.000 0.000 0.000 0.000 0.101 April 25th 50th 75th Mean 0.015 0.018 0.013 0.016 -7.252 -5.983 -4.324 -5.575 0.062 0.039 0.085 0.068 0.026 0.024 0.028 0.025 3.895 5.588 7.658 6.255 0.028 0.053 0.034 0.037 May Skewness Kurtosis Variance -0.002 -0.010 1.224 1.428 0.085 0.001 0.001 0.506 0.051 0.018 8.787 0.029 0.024 18.637 0.042 0.018 9.771 0.014 0.022 0.021 0.031 0.024 19.308 21.275 23.844 21.781 0.046 0.049 0.007 0.023 -0.003 0.014 -0.369 11.142 0.010 0.009 June July 75th Skewness Kurtosis Variance -0.003 -0.016 0.006 1.434 2.042 5.143 0.004 0.000 0.075 25th 50th 75th Mean Skewness Kurtosis Variance 0.013 0.016 0.019 0.016 -0.003 -0.009 0.014 4.169 5.503 6.972 6.111 1.235 1.244 6.095 0.017 0.014 0.006 0.012 0.024 0.037 0.029 Tmin Slope Tmax p Intercept 0.011 0.015 0.015 0.015 -0.005 -0.014 3.402 4.909 6.647 5.119 1.185 1.402 0.092 0.048 0.029 0.048 0.001 0.001 Month August Metric 25th 50th 75th Mean Skewness Kurtosis Variance September 50th 75th Mean Skewness Kurtosis Variance 0.013 0.016 0.011 -0.005 -0.013 0.954 2.356 1.226 1.087 1.374 0.054 0.036 0.054 0.001 0.000 Kurtosis -0.010 1.428 0.001 October Slope Intercept p 0.018 0.022 0.031 0.023 -0.001 -0.003 0.009 18.762 20.740 23.198 21.208 0.404 -0.460 11.099 0.056 0.037 0.004 0.025 0.038 0.003 0.103 0.025 18.290 0.096 -0.004 0.023 -0.543 8.925 0.000 0.000 -0.003 -0.456 0.011