Appendix A. List of weighted linear least-squares regression coefficients between air-sea O2 flux (O2, mol m-2 month-1) and heat flux monthly anomalies ([DQ]sea, Watt m-2) in 10 latitudinal bands covering the entire ice-free world ocean. The regressions are of the form O2= (a0 s0) + (a1 s1)[DQ]sea; where a0 and a1 represent the intercept and slope of the regressions and s0 and s1 represent the standard error of the a0 and a1 coefficients. The regression uses as weights the standard error of the O2 data binned in DQsea increments of 50 Watt m-2. The r and r2 values represent the linear correlation and determination coefficients of the regressions.

 

 

Latitudinal band

Northern Hemisphere

Southern Hemisphere

70 to 80

a0= 3.519 x 10-1 2.233 x 10-2

a1= 7.237 x 10-3 1.552 x 10-4

r = 0.92; r2=0.84

a0= -1.367 6.666 x 10-2

a1= 9.115 x 10-3 8.967 x 10-4

r = 0.91; r2= 0.83

60 to 70

a0= -5.397 x 10-2 1.084 x 10-2

a1= 1.140 x 10-2 7.976 x 10-5

r = 0.86; r2= 0.75

a0= 2.659 x 10-1 2.606 x 10-2

a1= 5.944 x 10-3 2.740 x 10-4

r = 0.88; r2= 0.78

50 to 60

a0= 4.884 x 10-1 7.060 x 10-3

a1= 1.118 x 10-2 5.280 x 10-5

r = 0.92; r2= 0.86

a0= 3.579 x 10-1 2.237 x 10-2

a1= 1.176 x 10-2 2.536 x 10-4

r = 0.97; r2= 0.93

40 to 50

a0= -6.696 x 10-1 1.045 x 10 -2

a1= 1.0851 x 10-2 8.649 x 10-5

r = 0.91; r2= 0.83

a0= 5.782 x 10-1 2.577 x 10-2

a1= 1.240 x 10-2 2.448 x 10-4

r = 0.96; r2= 0.92

30 to 40

a0= -1.883 x 10-1 6.120 x 10-3

a1= 5.936 x 10-3 4.029 x 10-5

r = 0.91; r2= 0.83

a0= 7.104 x 10-1 1.483 x 10-2

a1= 4.170 x 10-3 1.528 x 10-4

r = 0.75; r2= 0.57

20 to 30

a0= -1.451 x 10-1 6.501 x 10-3

a1= 5.078 x 10-3 5.663 x 10-5

r = 0.99; r2= 0.98

a0= 6.088 x 10-1 1.434 x 10-2

a1= 3.837 x 10-3 1.740 x 10-4

r = 0.78; r2= 0.61

10 to 20

a0=-7.412 x 10-2 1.157 x 10-2

a1= 7.252 x 10-4 2.190 x 10-4

r = 0.74; r2= 0.55

a0= -1.170 x 10-2 1.565 x 10-2

a1= 3.898 x 10-3 2.686 x 10-4

r = 0.66; r2= 0.43

0 to 10

a0= 1.398 x 10-1 6.336 x 10-3

a1= -8.492 x 10-4 2.392 x 10-4

r = 0.59; r2= 0.35

a0= 7.069 x 10-4 1.037 x 10-2

a1= -1.719 x 10-3 3.551 x 10-4

r = -0.62; r2= 0.38