The Significant Coefficients at the 95% Level Are in Bold

Table S 1 Correlation coefficients between TRWI and stable isotope chronologies from KOK, MOG and AKT sites for the common period 1901-2000.

Parameter / TRWI / δ13C / δ18O
KOK / MOG / AKT / KOK / MOG / AKT / KOK / MOG / AKT
TRWI / KOK / 1
MOG / 0.68 / 1
AKT / 0.49 / 0.51 / 1
δ13C / KOK / 0.29 / 0.31 / 0.12 / 1
MOG / 0.44 / 0.39 / 0.22 / 0.46 / 1
AKT / 0.56 / 0.46 / 0.26 / 0.61 / 0.57 / 1
δ18O / KOK / 0.41 / 0.35 / 0.30 / 0.54 / 0.49 / 0.54 / 1
MOG / 0.25 / 0.38 / 0.26 / 0.28 / 0.33 / 0.35 / 0.42 / 1
AKT / 0.23 / 0.40 / 0.33 / 0.39 / 0.42 / 0.54 / 0.62 / 0.55 / 1

The significant coefficients at the 95% level are in bold.

Table S 2 a. Correlation coefficient (r), determination coefficient (R2), Fisher criteria (F-criteria), Durbin-Watson statistic (DW) with critical lower (DL) and upper (DU) levels, t-value for regression coefficients (tangents of slope angle) , and coefficient of synchronicity (Ks) (Durbin and Watson 1951; Draper and Smith 1966; Hettmansperger 1984; Cook and Kairiukstis 1990) were calculated for calibration and for verification periods between combined KOK, MOG, AKT tree-ring index chronologies and mean June-July temperature.

Calibration / Verification
Period / r / R2 / R2
adjusted / F-criteria, df / DW-statistic
(DL,DU) / t-value,
p / Period / r / Synchronicity coefficient (Кs)
1954-2000 / 0.69 / 0.47 / 0.46 / 40.111,45
p=0.000 / 1.5
(1.48, 1.57) / 6.33
p=0.000
1954-1977 / 0.67 / 0.44 / 0.42 / 17.681,22
p=0.000 / 1.4
(1.24, 1.43) / 4.21
p=0.000 / 1977-2000 / 0.72 / 70.0
1977-2000 / 0.72 / 0.52 / 0.49 / 23.41,22
p=0.000 / 1.7
(1.24, 1.43) / 4.80
p=0.000 / 1954-1977 / 0.67 / 74.0

Table S 2 b. Correlation coefficient (r), determination coefficient (R2), Fisher criteria (F-criteria), Durbin-Watson statistic (DW) with critical lower (DL) and upper (DU) levels, t-value for regression coefficients, and coefficient of synchronicity (Ks) (Durbin and Watson 1951; Draper and Smith 1966; Hettmansperger 1984; Cook and Kairiukstis 1990) were calculated for calibration and for verification periods between combined KOK, MOG, AKT d13C and d18O chronologies, and July-August temperature.

Calibration / Verification
Period / r / R2 / R2
adjusted / F-criteria, df / DW-statistic
(DL,DU) / t-value,
p / Period / r / Synchronicity coefficient (Кs)
1954-2000 / 0.73 / 0.53 / 0.49 / 50.581,45
p=0.000 / 1.8
(1.48, 1.57) / 6.79
p=0.000
1954-1977 / 0.79 / 0.63 / 0.62 / 37.11,22
p=0.001 / 1.9
(1.24, 1.43) / 6.22
p=0.000 / 1977-2000 / 0.73 / 78.0
1977-2000 / 0.73 / 0.54 / 0.52 / 25.61,22
p=0.000 / 1.9
(1.24, 1.43) / 5.10
p=0.000 / 1954-1977 / 0.79 / 74.0

Table S 2 c. Correlation coefficient (r), determination coefficient (R2), Fisher criteria (F-criteria), Durbin-Watson statistic (DW) with critical lower (DL) and upper (DU) levels, t-value for regression coefficients, and coefficient of synchronicity (Ks) (Durbin and Watson 1951; Draper and Smith 1966; Hettmansperger 1984; Cook and Kairiukstis 1990) were calculated for calibration and for verification periods between combined KOK, MOG, AKT d18O chronology and July precipitation.

Calibration / Verification
Period / r / R2 / R2
adjusted / F-criteria, df / DW-statistic
(DL,DU) / t-value,
p / Period / r / Synchronicity coefficient (Кs)
1954-2000 / -0.53 / 0.28 / 0.26 / 17.431,45
p=0.000 / 1.7
(1.48, 1.57) / -4.17
p=0.000
1954-1977 / -0.68 / 0.47 / 0.44 / 19.21,22
p=0.001 / 1.9
(1.24, 1.43) / -4.39
p=0.000 / 1977-2000 / -0.54 / 65.2
1977-2000 / -0.54 / 0.29 / 0.25 / 8.81,22
p=0.000 / 2.2
(1.24, 1.43) / -2.97
p=0.000 / 1954-1977 / -0.68 / 65.2

Table S 3 Correlation coefficients between June-July, July-August temperature reconstructions and June-July, July-August temperature data and July precipitation reconstruction and July precipitation data from the weather stations located in the vicinity of 800 km.

Weather station / Coordinates / Elevation
m asl / Period / Correlation coefficient
Temperature / Precipitation / Temperature / Precipitation
June-
July / July-August
Ak-kem / 49° 55' N, 86° 32' E / 2056 / 1961-1995 / 1961-1995 / 0.74 / 0.58 / 0.30
Barnaul
Chinese Altai / 53 º 43' N, 83º 52' E
47º 73' N, 88º 08' E / 184
737 / 1891-1999
1954-2000 / 1891-1999
1954-2000 / 0.34
0.51 / 0.18
0.40 / 0.24
0.53
Irsin / 50º 16' N, 95º 07' E / 1100 / 1949-2008 / 1966-2008 / 0.58 / 0.41 / 0.34
Kara-Turek / 50º 02' N, 86 º 27' E / 2601 / 1940-2008 / 1966-2008 / 0.57 / 0.60 / 0.40
Kosh-Agach / 50° 00' N, 88° 40' E / 1758 / 1958-1993 / 1934-1993 / 0.73 / 0.41 / 0.30
Mogur-Aksi / 50º 23' N, 90º 26' E / 1850 / 1963-2008 / 1966-2008 / 0.62 / 0.50 / 0.40
Mongolian Altai, Ulgii / 48° 93' N, 89° 93' E / 1715 / 1959-2007 / 1955-2008 / 0.58 / 0.57 / 0.25
Ust-Koksa / 50º 16' N, 85º 37' E / 977 / 1940-2008 / 1966-2008 / 0.52 / 0.58 / 0.41

Correlation coefficients are all significant, p<0.05.