Data and Model Type

T_m

c

RMS

a) Yearly mean temperature evaluated from fitted function data, $T_R\left(t\right)$ , using single-years data, $T_{a,y}\left(t\right)$ and M1-type model

9.456

$7.88\times {10}^{-5}$

0.603

b) Yearly mean temperature evaluated from fitted function data, $T_R\left(t\right)$ , using 4-year sets, $T_{a,a}\left(t\right),\cdots ,T_{a,e}\left(t\right)$ and M1-type model

9.481

$7.23\times {10}^{-5}$

0.390

c) Yearly mean temperature from fitted function data, $T_R\left(t\right)$ , using continuous 20 years data, $T_a\left(t\right)$ and M1-type model

9.456

$7.88\times {10}^{-5}$

0.603

d) 20 years measured data, $T_a\left(t\right)$ , unprocessed; M1-type model

9.929

$-4.66\times {10}^{-5}$

(9.206)

e) 20 years measured data, $T_a\left(t\right)$ , unprocessed; M3-type model

9.489

$7.37\times {10}^{-5}$

(4.026)

f) 20 years measured data, $T_a\left(t\right)$ , unprocessed; M5-type model

9.477

$7.42\times {10}^{-5}$

(4.001)

g) 20 years model output data, $T_R\left(t\right)$ from M5-type model

9.929

$-4.66\times {10}^{-5}$

(8.291)