RUSSIAN JOURNAL OF EARTH SCIENCES, VOL. 15, ES2003, doi:10.2205/2015ES000551, 2015


Table 1. Values of Parameters
a. Values of parameters over the period from 1000 to 1353.
$i$ 1 2 3 4 5 6 7 8 9
$T_i$, years 50 47 55 29 28 48 46 29 21
$\tilde{T}$, years 97847675 41
$X_i, \mbox{°} \mathrm{C yr^{-1}}$ 0.00006 0.0021 -0.003 0.0093 -0.010 0.0027 -0.0015 0.0066 -0.0209
$D_i$ 1.212 1.192 1.199 1.187 1.218 1.195 1.206 1.181 1.269
h -0.001 -0.021 0.004 -0.008 0.023 -0.007 0.004 -0.021 0.067
$D_0$ 1.2131.1951.202
$\eta, \mbox{°} \mathrm{C yr^{-1}}$ 0.1020.5520.382
$\Delta$, ° C 0.187 0.140 0.168 0.181 0.203 0.274 0.266 0.237 0.311
b. Values of parameters over the period from 1353 to 1634.
$i$ 10 11 12 13 14 15 16 17 18
$T_i$, years 20 33 41 21 20 10 69 34 33
$\tilde{T}$, years 41 74417967
$X_i, \mbox{°} \mathrm{C yr^{-1}}$ 0.0197 -0.006 0.002 -0.019 0.014 -0.015 0.001 -0.004 0.004
$D_i$ 1.096 1.209 1.198 1.215 1.202 1.312 1.207 1.212 1.198
$h$ -0.012 0.001 -0.01 0.007 -0.05 0.057 -0.001 0.004 -0.010
$D_0$ 1.2081.255 1.208
$\eta, \mbox{°} \mathrm{C yr^{-1}}$ 0.7560.20.895
$\Delta$, ° C 0.238 0.169 0.142 0.106 0.149 0.213 0.17 0.106 0.140
c. Values of parameters over the period from 1635 to 2011.
$i$ 19 20 21 22 23 24 25 26
$T_i$, years 60 72 49 59 33 29 33 43
$\tilde{T}$, years 1321086276
$X_i, \mbox{°} \mathrm{C yr^{-1}}$ -0.0026 0.0032 -0.0047 0.0004 -0.0026 0.0148 -0.0033 0.0197
$D_i$ 1.209 1.194 1.2 1.198 1.210 1.208 1.217 1.203
$h$ 0.001 -0.005 0.001 -0.001 0.001 -0.001 0.002 -0.012
$D_0$ 1.208 1.1991.2091.215
$\eta, \mbox{°} \mathrm{C yr^{-1}}$ 0.895 0.7930.8560.409
$\Delta$, ° C 0.164 0.158 0.157 0.187 0.217 0.1773 0.259 0.258

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Citation: Tsvetkov V. P., I. V. Tsvetkov (2015), Analysis of a piecewise linear trend of average surface temperature in the mathematical model of multifractal dynamics, Russ. J. Earth Sci., 15, ES2003, doi:10.2205/2015ES000551.


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