r

Embedding

dimension (m)

Tree-ring data

SOI

Calam

Dalton

Freder

Hager

Sacndx

Spring

0.5σ

2

−1.44(A)

8.07(R)

−1.08(A)

2.27(R)

−1.44(A)

3.01(R)

24.42(R)

3

−1.05(A)

6.54(R)

−1.08(A)

2.48(R)

−2.24(R)

2.76(R)

26.75(R)

4

−1.8(A)

5.21(R)

0.37(A)

0.67(A)

1.76(A)

1.61(A)

28.97(R)

5

−2.64(R)

4.37(R)

3.68(R)

−3.73(R)

1.34(A)

0.98(A)

31.59(R)

1.0σ

2

1.6(A)

9.68(R)

0.07(A)

0.73(A)

−1.78(A)

3.19(R)

23.33(R)

3

1.32(A)

9.07(R)

0.47(A)

0.67(A)

−2.18(R)

3.76(R)

25.09(R)

4

1.03(A)

8.38(R)

1.67(A)

0.37(A)

−0.13(A)

3.42(R)

26.7(R)

5

0.92(A)

8.61(R)

2.41(R)

0.49(A)

0.15(A)

3.99(R)

28.39(R)

1.5σ

2

1.7(A)

8.87(R)

0.74(A)

1.78(A)

−3.59(R)

3.5(R)

21.84(R)

3

1.79(A)

8.7(R)

1.4(A)

1.03(A)

−3.12(R)

4.55(R)

22.86(R)

4

1.55(A)

8.46(R)

2.2(R)

0.38(A)

−2.51(R)

4.56(R)

23.33(R)

5

1.91(A)

8.56(R)

2.64(R)

0.51(A)

−2.37(R)

4.59(R)

23.61(R)

2.0σ

2

2.86(R)

9.86(R)

0.32(A)

0.93(A)

−3.11(R)

4.00(R)

21.37(R)

3

2.87(R)

9.81(R)

0.91(A)

0.06(A)

−2.55(R)

4.97(R)

22.27(R)

4

2.53(R)

9.54(R)

1.92(A)

−0.58(A)

−2.21(R)

4.78(R)

22.1(R)

5

2.39(R)

9.52(R)

2.46(R)

−0.68(A)

−1.9(A)

4.56(R)

21.67(R)

Confidence interval: −1.96, +1.96 (α = 0.05); A: accepted; R: rejected.