The MFT of each location was obtained by calculating the mode of daily mean temperature distributed in the 54th–92th range during the entire year, which is the 95% distribution of the MMPs. We systematically analysed the distribution of the MMTs, annual mean temperature, 78th percentile temperature and MFTs in 420 locations from 30 countries. We compared the two existing indicators (annual mean temperature and 78th percentile temperature) and the new indicator (MFT).
We applied a MLR model to fit the MMT according to the seven independent variables. The model is defined below (Equation (1 )): where y is the MMT, α is the intercept. x1,…xi (i = 1,…,7) are the independent variables in Table 1 , and β1,…βi (i = 1,…, 7) are the regression coefficients.
We mapped the error (Equation (2 )) histograms of the above three temperature indexes and calculated the Pearson correlations among them and the MMT. where T refers to the three temperatures mentioned above.
The 420 locations in the present study covered eight of the 11 major climatic zones, (including tropical grassland, tropical monsoon, tropical rainforest, subtropical monsoon, temperate continental, temperate maritime, temperate monsoon, and Mediterranean climates, excluding for the tropical desert, plateau mountain, and cold climates). We combined eight climatic zones into three categories: temperate climate (including 91 locations), subtropical climate (including 174 locations), and tropical climate (including 155 locations) regions. For these three main climate regions, we analysed the associations between the MFT, the 78th percentile temperature, the annual mean temperature, and the MMT (Fig.3 ).
With the projected daily mean temperature under five different global-scale general circulation models (GCMs) and two Representative Concentration Pathways scenarios (RCP4.5 and RCP8.5), we estimate the global distribution of MMTs in the present (2010s) and future (2050s) for each 0.5° × 0.5° grid (Figs.4 and 5 ).
We applied a MLR model to fit the MMT according to the seven independent variables. The model is defined below (Equation (
We mapped the error (Equation (
The 420 locations in the present study covered eight of the 11 major climatic zones, (including tropical grassland, tropical monsoon, tropical rainforest, subtropical monsoon, temperate continental, temperate maritime, temperate monsoon, and Mediterranean climates, excluding for the tropical desert, plateau mountain, and cold climates). We combined eight climatic zones into three categories: temperate climate (including 91 locations), subtropical climate (including 174 locations), and tropical climate (including 155 locations) regions. For these three main climate regions, we analysed the associations between the MFT, the 78th percentile temperature, the annual mean temperature, and the MMT (Fig.
With the projected daily mean temperature under five different global-scale general circulation models (GCMs) and two Representative Concentration Pathways scenarios (RCP4.5 and RCP8.5), we estimate the global distribution of MMTs in the present (2010s) and future (2050s) for each 0.5° × 0.5° grid (Figs.
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