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. 2020 Oct 12;7:335. doi: 10.1038/s41597-020-00663-3

Table 1.

Metrics used to assess the ability of our ensemble estimate of historical temperatures and precipitations to replicate observed conditions.

Region Temperature Precipitation
ρpb M RMSEw rSD md ρpb M %-bias rSD md
Global 0.99 91.3 1.98 1.03 0.95 0.89 64.5 10.9 0.93 0.76
High-North 0.97 83.3 1.99 1.08 0.89 0.75 51.5 21.0 0.98 0.61
Mid-North 0.97 84.3 2.17 0.99 0.89 0.91 63.8 15.5 0.99 0.78
Mid-South 0.96 78.2 1.70 0.97 0.85 0.81 52.8 20.9 0.90 0.65
High-Tropics 0.81 61.1 1.83 0.86 0.72 0.83 57.4 0.10 0.92 0.73
High Latitudes* 0.96 78.9 2.28 1.12 0.87 0.72 66.1 13.6 0.94 0.61
Mediterranean and Sahara* 0.96 81.2 1.53 0.87 0.85 0.97 77.1 −2.1 0.97 0.86
North America (East)* 0.99 89.0 0.99 0.94 0.92 0.89 62.5 6.4 0.79 0.72
Southern Africa and West Indian Ocean* 0.79 60.4 1.72 0.89 0.75 0.90 48.1 31.5 0.76 0.55
Australia and New Zealand* 0.99 78.9 1.42 0.94 0.83 0.93 66.1 13.2 0.79 0.71
Neotropical# 0.95 79.1 2.10 0.91 0.88 0.67 40.5 −2.1 0.77 0.59
Oriental# 0.86 76.3 2.34 1.05 0.81 0.84 61.9 −3.4 0.95 0.75
Palearctic# 0.98 86.5 2.13 1.05 0.91 0.88 57.5 22.8 0.89 0.67

ρpb = percentage bend correlation75, where higher values indicate more agreement between observed and simulated conditions; M = m statistic76 (×100), where higher values indicate more agreement between observed and simulated conditions; RMSEw = Root-Mean-Square-Error weighted by latitude, lower values indicate better agreement between simulated and observed conditions; rSD = ratio of standard deviations, values closer to 1 indicate better agreement between simulated and observed conditions; md = modified index of agreement77, values closer to 1 indicate better agreement between simulated and observed conditions; %-bias = percentage bias, the tendency of the simulated values to be larger or smaller than observed. *IPCC AR5 regions from van Oldenborgh, et al.24. #Biogeographic realms following Holt, et al.25.