﻿Digitization & computation notes for https://sealevel.info/BEST_vs_UAH_2020-06-14h.png The graph is generated by: https://woodfortrees.org/plot/best/from:1979/mean:12/plot/uah6/from:1979/mean:12/plot/best/from:1979/trend/plot/uah6/from:1979/trend WfT does the linear regression and generates the linear trend line, but does not report the slope. So I got the slopes from the graph. First, I used mspaint to extend the two trend ines to intercept with the 1975 (left) and 2025 (right) borders, for ease of measuring the slopes. Digitized the 1975 and 2025 intercepts for both trend lines, I found: x y x y BEST 94,481.5 -> 810,151 481.5-151 = 330.5 vertical pixels between 1975 & 2025 intercepts UAH6 94,573 -> 810,341 573-341 = 232 vertical pixels between 1975 & 2025 intercepts So, UAH shows (232/330.5) = 70.1966717% of the warming trend of BEST (rounds to 70.20%) calibrating pixels / °C: -0.4 °C is y = 615 1.2 °C is y = 66 So scale is (616-66 pixels) / 1.6°C = 343.75 pixels per degree C BEST shows (330.5 / 343.75) degrees / 5 decades = 0.19229 °C/decade = 0.192 °C/decade (rounded) UAH6 shows (232 / 343.75) degrees / 5 decades = 0.13498 °C/decade = 0.134 °C/decade (rounded) Since BEST's data implies sensitivity of 1.6°C/doubling, that means UAH6 implies sensitivity of 0.701966717 × 1.6 = 1.123°C/doubling. ECS is usually estimated at 1.25× to 1.6× TCR. So: If 1.6°C is the average of TCR & ECS (per BEST), and ECS = 1.25×TCR, it means: 1.6 = (tcr+ecs)/2, so tcr = 3.2-ecs ecs = 1.25×tcr = 1.25×(3.2-ecs) = 4 - (1.25×ecs), so 2.25×ecs = 4 ecs = 4/2.25 = 1.77777... tcr = 3.2 - (4/2.25) = 1.42222... If 1.6°C is the average of TCR & ECS (per BEST), and ECS = 1.6×TCR, it means: 1.6 = (tcr+ecs)/2, so tcr = 3.2-ecs ecs = 1.6×tcr = 1.6×(3.2-ecs) = 5.12 - (1.6×ecs), so 2.6×ecs = 5.12 ecs = 5.12/2.6 = 1.96923 tcr = 3.2 - (5.12/2.6) = 1.23077 If 1.23°C is the average of TCR & ECS (per UAH6), and ECS = 1.25×TCR, it means: 1.23 = (tcr+ecs)/2, so tcr = 2.46-ecs ecs = 1.25×tcr = 1.25×(2.46-ecs) = 3.075 - (1.25×ecs), so 2.25×ecs = 3.075 ecs = 3.075/2.25 = 1.36666... tcr = 2.46 - (3.075/2.25) = 1.09333... If 1.23°C is the average of TCR & ECS (per UAH6), and ECS = 1.6×TCR, it means: 1.23 = (tcr+ecs)/2, so tcr = 2.46-ecs ecs = 1.6×tcr = 1.6×(2.46-ecs) = 3.936 - (1.6×ecs), so 2.6×ecs = 3.936 ecs = 3.936/2.6 = 1.51385 tcr = 2.46 - (3.936/2.6) = 0.94615 Using BEST (1.6°C is avg of TCR & ECS): TCR is 1.23077 to 1.42222 ECS is 1.77777 to 1.96923 Using UAH6 (1.23°C is avg of TCR & ECS): TCR is 0.94615 to 1.09333 ECS is 1.36666 to 1.51385 Conclusion: TCR is 0.95 to 1.42°C, and ECS is 1.37 to 1.97°C: -DAB 6/16/2020