Table S1 The CMIP5 climate models and the central year of 30-year period when the 30-yr averaged GMT first increase, by 0.5, 1.0, 1.5, 2.0 and 2.5 °C, relative to 1971-2000. The symbol ‘-’ indicates that no 30-year period was found corresponding to the indicated GMT rise. The models with the symbol ‘*’ indicate the Climate System Model, whereas the remaining models are classed as Earth System Model. ID Model 0 ˚C 0.5 ˚C 1 ˚C 1.5 ˚C 2 ˚C 2.5 ˚C 1 BCC-CSM1.1 1985 2004 2025 2041 2052 2063 2 BCC-CSM1.1.M 1985 2002 2018 2037 2052 2065 3 CanESM2 1985 2001 2014 2027 2039 2049 4 CCSM4* 1985 2005 2021 2037 2050 2062 5 CESM1-BGC 1985 2006 2023 2039 2051 2063 6 CESM1-CAM5* 1985 2008 2023 2036 2046 2055 7 CMCC-CESM* 1985 2011 2029 2041 2051 2061 8 CMCC-CM* 1985 2008 2025 2038 2048 2059 9 CMCC-CMS* 1985 2006 2023 2035 2046 2056 10 CNRM-CM5 1985 2008 2027 2042 2054 2065 11 CSIRO-Mk3.6.0* 1985 2010 2028 2040 2051 2061 12 FGOALS-g2* 1985 2010 2028 2044 2059 2072 13 GFDL-CM3* 1985 2002 2014 2026 2038 2048 14 GFDL-CM2.1* 1985 2007 - - - - 15 GFDL-ESM2G 1985 2008 2033 2050 2064 2077 16 GFDL-ESM2M 1985 2010 2033 2050 2065 2080 17 GISS-E2-H* 1985 2009 2027 2043 2058 2072 18 GISS-E2-H-CC 1985 2008 2033 2072 - - 1 19 GISS-E2-R* 1985 2011 2031 2049 2067 2085 20 GISS-E2-R-CC 1985 2010 2039 2072 - - 21 HadCM3* 1985 2004 - - - - 22 INM-CM4 1985 2020 2042 2057 2069 2083 23 IPSL-CM5A-LR 1985 2002 2019 2031 2042 2052 24 IPSL-CM5A-MR 1985 2005 2020 2033 2043 2053 25 IPSL-CM5B-LR* 1985 2013 2030 2044 2056 2068 26 MIROC4h* 1985 2004 2018 - - - 27 MIROC5* 1985 2005 2024 2041 2054 2066 28 MIROC-ESM 1985 2008 2021 2031 2042 2052 29 MIROC-ESM1985 2007 2019 2031 2040 2050 CHEM* 30 MPI-ESM-LR 1985 2008 2025 2042 2054 2065 31 MPI-ESM-MR* 1985 2007 2026 2042 2053 2063 32 MRI-CGCM3* 1985 2019 2036 2049 2060 2072 33 NorESM1-M* 1985 2010 2028 2044 2058 2070 34 NorESM1-ME 1985 2008 2028 2043 2055 2066 2