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Table 7 Significance tests of the mean differences among δ18O and SST components and the solution of orbital forcings (Laskar et al. 1993) binned at three arbitrary constant time intervals (532 kyr, 760 kyr, and 1064 kyr). Data standardized on the entire Plio-Pleistocene record (mean = 0, standard deviation = 1) and, where necessary, inverted to have the same paleoclimatic polarity (positive values for positive forcing and warming)

From: δ18O and SST signal decomposition and dynamic of the Pliocene-Pleistocene climate system: new insights on orbital nonlinear behavior vs. long-term trend

Component/forcing

Time bin (kyr)

Meana

Sum of squares

df

F

Sig.

LR04 comp-1

532

− 1.47 ÷ 1.18

5059.52

9

11,504.34

0.00

760

− 1.51 ÷ 1.13

4996.27

6

13,708.49

0.00

1064

− 1.43 ÷ 1.14

4917.43

4

16,271.23

0.00

LR04 comp-1 subcomp-1

532

− 1.47 ÷ 1.21

5257.57

9

50,499.31

0.00

760

− 1.50 ÷ 1.17

5182.42

6

33,599.07

0.00

1064

− 1.44 ÷ 1.17

5116.42

4

33,559.24

0.00

LR04 comp-1 exp.fit. trend

532

− 1.72 ÷ 1.40

5262.71

9

55,162.47

0.00

760

− 1.62 ÷ 1.35

5204.25

6

40,161.50

0.00

1064

− 1.49 ÷ 1.28

5094.35

4

30,132.42

0.00

LR04 comp-2-11 (orbitals)

532

− 0.08 ÷ 0.09

8.80

9

0.98

0.46

760

− 0.01 ÷ 0.02

0.74

6

0.12

0.99

1064

− 0.01 ÷ 0.01

0.33

4

0.08

0.99

SST comp-1

532

− 1.45 ÷ 1.26

4644.74

9

6235.99

0.00

760

− 1.42 ÷ 1.27

4468.87

6

6339.54

0.00

1064

− 1.38 ÷ 1.16

4389.59

4

8244.21

0.00

SST comp-1 subcomp-1

532

− 1.49 ÷ 1.26

4950.98

9

24,819.72

0.00

760

− 1.49 ÷ 1.33

4838.36

6

18,152.80

0.00

1064

− 1.42 ÷ 1.18

4722.96

4

17,566.50

0.00

SST comp-1 exp.fit. trend

532

− 1.67 ÷ 1.50

5006.76

9

49,988.56

0.00

760

− 1.57 ÷ 1.44

4949.41

6

36,725.39

0.00

1064

− 1.44 ÷ 1.36

4842.28

4

27,747.29

0.00

SST comp-2-11 (orbitals)

532

− 0.09 ÷ 0.04

6.25

9

0.69

0.71

760

− 0.01 ÷ 0.02

0.89

6

0.15

0.99

1064

− 0.02 ÷ 0.01

0.60

4

0.15

0.96

Eccentricity

532

− 0.30 ÷ 0.25

169.60

9

19.43

0.00

760

− 0.28 ÷ 0.28

143.98

6

24.64

0.00

1064

− 0.22 ÷ 0.14

77.44

4

19.63

0.00

Obliquity

532

− 0.12 ÷ 0.11

35.42

9

3.96

0.00

760

− 0.12 ÷ 0.12

37.02

6

6.21

0.00

1064

− 0.11 ÷ 0.10

31.96

4

8.03

0.00

Precession

532

− 0.02 ÷ 0.01

0.30

9

0.03

1.00

760

0.00

0.02

6

0.00

1.00

1064

− 0.01 ÷ 0.01

0.12

4

0.03

1.00

65°N Insolation at June 21

532

− 0.08 ÷ 0.06

8.69

9

0.97

0.47

760

− 0.05 ÷ 0.06

8.89

6

1.48

0.18

1064

− 0.05 ÷ 0.04

6.37

4

1.59

0.17

  1. df degrees of freedom, F Fisher test, Sig statistical significance
  2. aMin-max of the mean among time segments