Documentation of the PMIP models (Bonfils et al. 1998)


APPENDIX: About Insolation Computations







* TODAY, 365 day year, 21.00 march vernal equinox
 
 
LAT JAN FEB MAR APR MAY JUN JUL AUG SEP OCT NOV DEC
90. .00 .00 16.69 226.23 428.89 518.14 478.16 316.18 78.00 .00 .00 .00
80. .00 .50 58.88 229.60 422.37 510.27 470.89 311.54 116.50 10.87 .00 .00
70. .90 33.69 130.22 269.56 407.73 486.89 449.66 324.37 182.88 65.93 6.30 .00
60. 40.79 99.47 199.95 320.61 423.31 473.71 449.70 362.23 246.58 135.19 57.36 26.96
50. 106.32 169.74 264.21 365.91 444.60 480.35 462.83 397.32 303.52 203.70 124.80 89.30
40. 177.08 237.91 320.71 401.78 458.73 482.52 470.22 423.65 351.54 267.46 194.75 159.64
30. 246.98 300.58 367.62 426.40 462.36 475.32 467.72 438.95 389.07 323.90 262.21 230.72
20. 312.37 355.26 403.46 438.71 454.24 457.13 453.93 442.15 414.90 371.05 323.99 298.46
10. 370.54 400.05 427.12 438.20 434.07 427.68 428.57 432.88 428.22 407.35 377.68 359.92
0. 419.41 433.45 437.87 424.80 402.22 387.51 392.10 411.28 428.62 431.65 421.40 412.83
-10. 457.41 454.42 435.39 398.91 359.59 337.71 345.54 377.98 416.07 443.17 453.75 455.49
-20. 483.47 462.35 419.75 361.34 307.55 279.91 290.39 334.01 390.96 441.61 473.83 486.69
-30. 497.12 457.13 391.43 313.29 247.92 216.25 228.65 280.86 354.07 427.05 481.26 505.91
-40. 498.65 439.17 351.32 256.36 183.04 149.47 162.86 220.41 306.54 400.06 476.35 513.42
-50. 489.55 409.59 300.70 192.61 116.05 83.43 96.55 155.11 249.89 361.73 460.39 510.91
-60. 474.04 370.62 241.20 124.69 51.89 24.98 35.60 88.41 185.96 313.84 436.76 503.60
-70. 471.00 327.91 174.97 56.98 4.71 .00 .34 27.26 117.10 259.78 417.97 517.18
-80. 492.67 308.85 105.78 6.81 .00 .00 .00 .17 47.56 214.03 431.43 542.01
-90. 500.27 313.10 64.32 .00 .00 .00 .00 .00 7.99 206.29 438.09 550.37

 
 
 
 

* 6 kyrBP minus present day difference, 365 day year, 21.00 march ref
 
 
LAT JAN FEB MAR APR MAY JUN JUL AUG SEP OCT NOV DEC 
90. .00 .00 -.92 -6.82 4.84 27.06 34.52 11.41 -16.01 .00 .00 .00
80. .00 .09 -2.28 -6.73 4.77 26.65 34.00 11.60 -11.76 -5.56 .00 .00
70. .15 -.31 -5.40 -7.58 4.30 25.43 32.33 14.40 -6.75 -13.79 -4.01 .00
60. -1.66 -3.42 -8.57 -8.83 2.82 20.95 28.54 17.27 -2.09 -13.72 -11.83 -5.09
50. -4.79 -7.12 -11.53 -9.95 2.10 18.78 27.25 19.85 2.51 -11.47 -13.64 -8.30
40. -8.20 -10.88 -14.17 -10.82 1.51 17.03 26.07 21.92 6.97 -8.15 -13.64 -10.63
30. -11.59 -14.46 -16.39 -11.38 .96 15.23 24.57 23.37 11.19 -4.19 -12.54 -12.36
20. -14.77 -17.71 -18.12 -11.63 .44 13.25 22.62 24.15 15.05 .16 -10.60 -13.55
10. -17.61 -20.49 -19.30 -11.54 -.05 11.10 20.21 24.22 18.43 4.71 -8.00 -14.22
0. -20.02 -22.72 -19.91 -11.11 -.49 8.79 17.39 23.58 21.24 9.29 -4.87 -14.35
-10. -21.91 -24.33 -19.92 -10.35 -.89 6.40 14.22 22.24 23.39 13.76 -1.31 -13.95
-20. -23.24 -25.26 -19.32 -9.30 -1.22 4.00 10.81 20.25 24.82 17.99 2.58 -13.03
-30. -23.97 -25.50 -18.15 -7.98 -1.46 1.70 7.30 17.67 25.47 21.88 6.72 -11.59
-40. -24.12 -25.07 -16.44 -6.43 -1.61 -.36 3.88 14.59 25.33 25.36 11.12 -9.64
-50. -23.76 -24.03 -14.23 -4.73 -1.61 -1.94 .80 11.11 24.39 28.47 15.87 -7.13
-60. -23.10 -22.54 -11.62 -2.93 -1.37 -2.48 -1.36 7.39 22.65 31.43 21.53 -3.76
-70. -23.12 -21.06 -8.71 -1.18 -.26 .00 -.12 3.68 20.10 35.20 32.19 1.44
-80. -24.39 -21.65 -5.75 -.02 .00 .00 .00 .36 16.37 45.79 37.93 1.51
-90. -24.76 -22.08 -4.44 .00 .00 .00 .00 .00 12.55 52.14 38.52 1.53

 

* 21 kyrBP minus present day difference, 365 day year, 21.00 march ref
 
 
LAT JAN FEB MAR APR MAY JUN JUL AUG SEP OCT NOV DEC
90. .00 .00 -.09 -1.46 -5.36 -10.50 -12.95 -9.44 -1.39 .00 .00 .00
80. .00 .07 .60 -1.13 -5.28 -10.34 -12.75 -9.24 -1.27 .88 .00 .00
70. .28 1.35 1.31 .02 -4.37 -9.86 -11.89 -7.35 -1.70 2.06 1.46 .00
60. 2.49 2.22 1.95 .76 -2.41 -6.58 -8.47 -6.50 -2.20 1.81 3.43 3.00
50. 3.32 2.85 2.52 1.37 -1.35 -4.82 -6.85 -5.98 -2.67 1.23 3.63 3.93
40. 3.75 3.33 3.01 1.91 -.47 -3.45 -5.53 -5.46 -3.07 .51 3.30 4.15
30. 3.93 3.68 3.40 2.37 .31 -2.21 -4.27 -4.88 -3.39 -.30 2.65 3.97
20. 3.89 3.90 3.69 2.74 1.01 -1.06 -3.04 -4.22 -3.60 -1.14 1.79 3.51
10. 3.67 3.98 3.87 3.02 1.62 .01 -1.84 -3.48 -3.71 -1.97 .76 2.81
0. 3.28 3.93 3.93 3.20 2.14 .98 -.68 -2.68 -3.71 -2.77 -.37 1.92
-10. 2.73 3.74 3.87 3.27 2.55 1.83 .41 -1.84 -3.61 -3.52 -1.59 .86
-20. 2.04 3.42 3.69 3.24 2.84 2.53 1.38 -.99 -3.39 -4.19 -2.84 -.32
-30. 1.23 2.99 3.40 3.10 2.99 3.03 2.20 -.16 -3.08 -4.76 -4.12 -1.63
-40. .28 2.44 3.00 2.84 2.97 3.30 2.80 .61 -2.68 -5.23 -5.40 -3.05
-50. -.81 1.79 2.51 2.49 2.76 3.22 3.06 1.26 -2.20 -5.61 -6.74 -4.65
-60. -2.19 1.02 1.94 2.02 2.23 2.51 2.74 1.68 -1.67 -5.92 -8.29 -6.70
-70. -4.79 .04 1.30 1.39 .67 .00 .28 1.53 -1.12 -6.33 -11.27 -10.52
-80. -5.32 -1.30 .59 .31 .00 .00 .00 .06 -.66 -7.91 -13.33 -11.03
-90. -5.40 -1.39 -.10 .00 .00 .00 .00 .00 -.77 -8.93 -13.54 -11.20

 
 
 
 
 

* TODAY, 360 day year, 21.00 march ref
 
 
LAT JAN FEB MAR APR MAY JUN JUL AUG SEP OCT NOV DEC
90. .00 .00 14.32 220.76 425.37 517.27 481.36 326.53 89.18 .00 .00 .00
80. .00 .40 56.42 225.12 418.91 509.41 474.04 321.60 124.96 13.23 .00 .00
70. .41 30.86 127.79 266.40 404.82 486.07 452.55 331.24 189.96 70.96 7.88 .00
60. 37.96 95.66 197.70 318.04 421.39 473.20 451.54 367.47 252.75 140.56 60.60 27.46
50. 102.97 165.80 262.23 363.84 443.20 480.01 464.18 401.38 308.73 208.81 128.34 89.92
40. 173.73 234.23 319.06 400.20 457.77 482.31 471.14 426.63 355.71 271.97 198.16 160.26
30. 243.92 297.40 366.36 425.32 461.81 475.22 468.27 440.88 392.11 327.58 265.21 231.27
20. 309.81 352.78 402.63 438.15 454.07 457.14 454.12 443.06 416.74 373.71 326.38 298.89
10. 368.67 398.41 426.75 438.14 434.25 427.79 428.44 432.80 428.83 408.87 379.29 360.21
0. 418.36 432.77 437.98 425.23 402.73 387.69 391.67 410.26 427.99 431.93 422.12 412.95
-10. 457.29 454.77 435.97 399.80 360.39 337.96 344.85 376.10 414.24 442.17 453.49 455.41
-20. 484.37 463.79 420.78 362.64 308.58 280.22 289.49 331.38 388.01 439.30 472.52 486.41
-30. 499.11 459.68 392.89 314.94 249.12 216.59 227.59 277.62 350.10 423.45 478.86 505.40
-40. 501.80 442.85 353.17 258.30 184.34 149.82 161.73 216.75 301.71 395.23 472.82 512.66
-50. 493.95 414.42 302.88 194.72 117.34 83.76 95.44 151.25 244.37 355.70 455.67 509.90
-60. 479.97 376.73 243.65 126.85 53.00 25.23 34.68 84.68 179.99 306.62 430.65 502.25
-70. 480.02 335.84 177.64 58.95 5.10 .00 .22 24.40 111.01 251.15 409.41 515.18
-80. 502.64 320.03 108.67 7.71 .00 .00 .00 .03 42.22 202.07 420.81 539.92
-90. 510.39 324.56 67.38 .00 .00 .00 .00 .00 5.16 191.75 427.30 548.25

 
 
 
 
 
 

* 6 kyrBP minus present day, 360 day year, 21.00 march ref
 
 
LAT JAN FEB MAR APR MAY JUN JUL AUG SEP OCT NOV DEC
90. .00 .00 -.79 -6.79 4.32 26.52 34.77 13.19 -16.25 .00 .00 .00
80. .00 .08 -2.16 -6.73 4.26 26.11 34.24 13.15 -11.17 -6.32 .00 .00
70. .10 -.21 -5.30 -7.64 3.80 24.92 32.58 15.53 -5.87 -13.93 -4.68 .00
60. -1.74 -3.23 -8.49 -8.93 2.40 20.51 28.63 18.15 -1.15 -13.48 -12.18 -5.42
50. -4.84 -6.91 -11.49 -10.08 1.70 18.37 27.24 20.55 3.44 -11.01 -13.80 -8.64
40. -8.19 -10.67 -14.16 -10.98 1.13 16.65 25.99 22.45 7.86 -7.54 -13.62 -10.88
30. -11.49 -14.28 -16.42 -11.57 .60 14.87 24.43 23.74 11.99 -3.48 -12.32 -12.48
20. -14.58 -17.55 -18.18 -11.84 .12 12.93 22.44 24.35 15.73 .94 -10.21 -13.51
10. -17.34 -20.38 -19.40 -11.76 -.33 10.82 20.00 24.25 18.97 5.51 -7.44 -13.99
0. -19.66 -22.66 -20.04 -11.33 -.73 8.56 17.14 23.45 21.62 10.09 -4.15 -13.93
-10. -21.48 -24.32 -20.07 -10.58 -1.08 6.21 13.96 21.96 23.59 14.52 -.46 -13.34
-20. -22.73 -25.31 -19.50 -9.51 -1.36 3.86 10.55 19.84 24.82 18.66 3.54 -12.22
-30. -23.40 -25.61 -18.35 -8.18 -1.56 1.61 7.05 17.14 25.28 22.44 7.77 -10.60
-40. -23.49 -25.25 -16.64 -6.61 -1.65 -.40 3.64 13.98 24.94 25.77 12.22 -8.47
-50. -23.09 -24.28 -14.45 -4.88 -1.61 -1.94 .61 10.45 23.81 28.70 16.99 -5.77
-60. -22.36 -22.86 -11.84 -3.05 -1.35 -2.46 -1.48 6.73 21.87 31.40 22.63 -2.17
-70. -22.28 -21.52 -8.92 -1.25 -.26 .00 -.10 3.14 19.11 34.78 33.09 3.53
-80. -23.45 -22.25 -5.96 -.04 .00 .00 .00 .17 15.01 44.73 39.58 3.69
-90. -23.81 -22.67 -4.66 .00 .00 .00 .00 .00 10.33 51.83 40.19 3.75

 
 
 
 

* 21 kyrBP minus present day, 360 day year, 21.00 march ref
 
 
LAT JAN FEB MAR APR MAY JUN JUL AUG SEP OCT NOV DEC
90. .00 .00 -.08 -1.41 -5.24 -10.37 -12.96 -9.77 -1.74 .00 .00 .00
80. .00 .06 .60 -1.06 -5.16 -10.21 -12.76 -9.59 -1.61 .95 .00 .00
70. .19 1.32 1.32 .07 -4.22 -9.74 -11.95 -7.62 -1.97 1.96 1.61 .00
60. 2.51 2.23 1.96 .80 -2.31 -6.48 -8.48 -6.67 -2.44 1.65 3.41 3.04
50. 3.37 2.87 2.53 1.41 -1.27 -4.74 -6.84 -6.09 -2.88 1.05 3.55 3.95
40. 3.80 3.35 3.02 1.94 -.40 -3.37 -5.49 -5.53 -3.24 .32 3.19 4.15
30. 3.95 3.69 3.41 2.40 .37 -2.15 -4.23 -4.91 -3.51 -.48 2.52 3.95
20. 3.89 3.90 3.70 2.77 1.06 -1.01 -2.99 -4.20 -3.68 -1.30 1.64 3.45
10. 3.63 3.97 3.88 3.05 1.66 .05 -1.78 -3.43 -3.75 -2.11 .61 2.72
0. 3.20 3.90 3.94 3.22 2.17 1.01 -.62 -2.60 -3.70 -2.88 -.52 1.81
-10. 2.62 3.70 3.88 3.29 2.57 1.85 .47 -1.73 -3.55 -3.58 -1.73 .73
-20. 1.89 3.37 3.69 3.25 2.85 2.54 1.44 -.86 -3.29 -4.21 -2.96 -.48
-30. 1.03 2.92 3.40 3.10 2.99 3.04 2.25 -.02 -2.94 -4.73 -4.21 -1.80
-40. .04 2.36 3.00 2.85 2.96 3.29 2.84 .75 -2.51 -5.15 -5.47 -3.24
-50. -1.10 1.69 2.51 2.49 2.74 3.21 3.09 1.39 -2.00 -5.47 -6.76 -4.85
-60. -2.54 .90 1.94 2.02 2.23 2.50 2.74 1.79 -1.46 -5.72 -8.25 -6.91
-70. -5.29 -.12 1.30 1.39 .70 .00 .23 1.56 -.90 -6.03 -11.05 -10.80
-80. -5.75 -1.45 .58 .32 .00 .00 .00 .03 -.48 -7.42 -13.26 -11.32
-90. -5.84 -1.54 -.10 .00 .00 .00 .00 .00 -.60 -8.50 -13.46 -11.50

Last update November 9, 1998. For further information, contact: Céline Bonfils (pmipweb@lsce.ipsl.fr )