I) Tables in the main TSM aglo paper

Table 1: The C coefficients as computed from literature (see text for details) and interpolated to
every 2.5nm. In the range λ<600nm, the computed values shown in italic font are not used,

but C =14.49 10-2 is used instead to avoid the saturation of the TSM model.
10²Cρ
λ(nm) 10²Cρ replaced λ(nm) 10²Cρ λ(nm) 10²Cρ λ(nm) 10²Cρ
600.0 14.49 700.0 18.64 800.0 20.78
602.5 14.61 702.5 18.72 802.5 20.80
replaced
605.0 14.72 705.0 18.79 805.0 20.82
607.5 14.83 707.5 18.86 807.5 20.85
610.0 14.94 710.0 18.92 810.0 20.87
612.5 15.04 712.5 18.98 812.5 20.89
615.0 15.14 715.0 19.04 815.0 20.91
617.5 15.24 717.5 19.13 817.5 20.92
520.0 9.29 14.49 620.0 15.33 720.0 19.22 820.0 20.94
522.5 9.47 14.49 622.5 15.42 722.5 19.30 822.5 20.96
525.0 9.65 14.49 625.0 15.51 725.0 19.37 825.0 20.97
527.5 9.82 14.49 627.5 15.60 727.5 19.44 827.5 20.99
530.0 9.99 14.49 630.0 15.68 730.0 19.51 830.0 21.00
532.5 10.15 14.49 632.5 15.81 732.5 19.57 832.5 21.01
535.0 10.31 14.49 635.0 15.94 735.0 19.63 835.0 21.03
537.5 10.46 14.49 637.5 16.07 737.5 19.68 837.5 21.04
540.0 10.61 14.49 640.0 16.19 740.0 19.73 840.0 21.05
542.5 10.76 14.49 642.5 16.30 742.5 19.78 842.5 21.06
545.0 10.90 14.49 645.0 16.41 745.0 19.83 845.0 21.07
547.5 11.03 14.49 647.5 16.51 747.5 19.88 847.5 21.08
550.0 11.17 14.49 650.0 16.61 750.0 19.92 850.0 21.09
552.5 11.30 14.49 652.5 16.74 752.5 19.96 852.5 21.10
555.0 11.43 14.49 655.0 16.86 755.0 20.00 855.0 21.11
557.5 11.67 14.49 657.5 16.97 757.5 20.03 857.5 21.12
560.0 11.89 14.49 660.0 17.08 760.0 20.07 860.0 21.13
562.5 12.11 14.49 662.5 17.19 762.5 20.10 862.5 21.14
565.0 12.32 14.49 665.0 17.28 765.0 20.13 865.0 21.15
567.5 12.52 14.49 667.5 17.38 767.5 20.21 867.5 21.16
570.0 12.71 14.49 670.0 17.47 770.0 20.28 870.0 21.17
572.5 12.89 14.49 672.5 17.56 772.5 20.34 872.5 21.19
575.0 13.06 14.49 675.0 17.64 775.0 20.40 875.0 21.20
577.5 13.23 14.49 677.5 17.75 777.5 20.45 877.5 21.21
580.0 13.39 14.49 680.0 17.88 780.0 20.50 880.0 21.22
582.5 13.55 14.49 682.5 17.99 782.5 20.54 882.5 21.23
585.0 13.70 14.49 685.0 18.10 785.0 20.59 885.0 21.24
587.5 13.84 14.49 687.5 18.21 787.5 20.62
590.0 13.98 14.49 690.0 18.30 790.0 20.66
592.5 14.12 14.49 692.5 18.40 792.5 20.69
595.0 14.24 14.49 695.0 18.48 795.0 20.72
597.5 14.37 14.49 697.5 18.57 797.5 20.75

Table 2: The C coefficients for MERIS, MODIS and SeaWiFS central wavelengths. In the range
λ(nm)<600nm, the computed values shown in italic font are not used,
but C

   600nm =14.49 10-2 is used instead to avoid the saturation of the TSM model.
Sensors central bands λ(nm)
MODIS 531
MODIS 551
MODIS HIRES, SeaWiFS 555
MERIS 560
MERIS 620
MODIS HIRES 645
MERIS 665
MODIS 667
SeaWiFS 670
MODIS 678
MERIS 681
MERIS 708
MODIS 748
MERIS 760
MERIS 753
SeaWiFS 765
MERIS 778
MODIS HIRES 858
MERIS, SeaWiFS 865
MODIS 869
MERIS 885
10²Cρ
14.49 (10.05)
14.49 (11.22)
14.49 (11.43)
14.49 (11.89)
15.33
16.41
17.28
17.36
17.47
17.74
17.92
18.87
19.88
20.07
19.97
20.13
20.46
21.12
21.15
21.16
21.24
2


2
Table 4: A (gm-³), B (gm-³) and R coefficients for a generic narrow band TSM algorithm for
wavelengths ranging from 520nm to 885nm.
 (nm) A
520.0
522.5
525.0
527.5
530.0
532.5
535.0
537.5
540.0
542.5
545.0
547.5
550.0
552.5
555.0
557.5
560.0
562.5
565.0
567.5
570.0
572.5
575.0
577.5
580.0
582.5
585.0
587.5
590.0
592.5
595.0
597.5
B

167.69 2.83
161.48 2.87
162.17 2.72
155.27 2.89
148.37 2.97
147.68 2.87
140.09 3.07
138.71 2.99
130.43 3.21
129.74 3.11
122.15 3.32
121.46 3.23
120.77 3.14
113.17 3.44
111.79 3.35
104.89 3.60
104.20 3.47
97.30 3.74
97.99 3.62
91.78 3.92
93.16 3.74
89.02 3.97
93.16 3.72
93.16 3.78
95.92 3.74
98.68 3.73
80.74 4.34
84.19 4.37
93.85 4.08
109.72 3.58
124.91 3.26
138.02 3.14
R %  (nm)
600.0
602.5
605.0
607.5
610.0
612.5
615.0
617.5
53.8 620.0
53.8 622.5
53.8 625.0
53.7 627.5
53.7 630.0
53.7 632.5
53.7 635.0
53.7 637.5
53.7 640.0
53.7 642.5
53.7 645.0
53.9 647.5
53.9 650.0
54.0 652.5
53.9 655.0
53.8 657.5
53.7 660.0
53.5 662.5
53.4 665.0
53.3 667.5
53.3 670.0
53.5 672.5
54.1 675.0
55.2 677.5
56.7 680.0
57.8 682.5
54.3 685.0
56.6 687.5
59.1 690.0
61.9 692.5
64.5 695.0
66.8 697.5
2
A

B
155.61 2.87
162.61 2.90
174.82 2.83
184.42 2.69
191.73 2.66
198.36 2.54
203.69 2.53
208.81 2.52
213.55 2.42
217.73 2.42
221.78 2.42
225.15 2.42
229.45 2.32
234.85 2.30
239.94 2.29
245.08 2.28
249.96 2.26
254.60 2.24
253.51 2.32
260.09 2.20
268.95 2.17
280.36 2.14
289.29 2.10
307.78 1.96
327.84 1.91
342.56 1.84
355.85 1.74
374.11 1.61
384.11 1.44
391.38 1.26
401.61 1.09
403.49 1.04
408.84 0.82
400.68 0.87
396.87 0.84
394.57 0.85
394.20 0.90
402.74 0.96
414.72 1.02
430.21 1.08
R %  (nm)
68.6 700.0
70.0 702.5
71.1 705.0
71.9 707.5
72.4 710.0
72.9 712.5
73.2 715.0
73.6 717.5
73.9 720.0
74.2 722.5
74.4 725.0
74.7 727.5
74.9 730.0
75.3 732.5
75.6 735.0
75.9 737.5
76.2 740.0
76.5 742.5
76.7 745.0
77.0 747.5
77.2 750.0
77.6 752.5
77.9 755.0
78.2 757.5
78.5 760.0
78.7 762.5
78.9 765.0
79.1 767.5
79.4 770.0
79.7 772.5
80.0 775.0
80.4 777.5
80.7 780.0
81.0 782.5
81.3 785.0
81.5 787.5
81.7 790.0
81.9 792.5
82.1 795.0
82.3 797.5
2
A

B
445.11 1.13
468.13 1.15
493.65 1.16
526.68 1.15
561.94 1.23
606.12 1.19
649.78 1.25
708.16 1.17
774.27 1.17
861.11 1.16
966.39 1.12
1086.85 1.07
1229.15 1.02
1374.86 0.98
1491.46 1.06
1592.19 1.09
1664.72 1.14
1725.83 1.12
1754.77 1.22
1781.18 1.24
1804.05 1.27
1815.54 1.27
1822.38 1.28
1789.22 1.30
1750.72 1.34
1736.96 1.39
1795.66 1.38
1851.11 1.41
1894.33 1.37
1889.64 1.43
1866.93 1.47
1834.05 1.53
1802.62 1.57
1787.56 1.50
1760.19 1.54
1724.54 1.59
1701.46 1.54
1667.30 1.58
1646.43 1.53
1619.05 1.56
R %  (nm)
82.5 800.0
82.6 802.5
82.8 805.0
82.9 807.5
82.9 810.0
82.9 812.5
82.7 815.0
82.5 817.5
82.2 820.0
82.0 822.5
81.7 825.0
81.2 827.5
80.4 830.0
79.5 832.5
78.5 835.0
77.6 837.5
76.7 840.0
76.1 842.5
75.6 845.0
75.3 847.5
75.0 850.0
74.5 852.5
74.3 855.0
74.6 857.5
74.7 860.0
74.9 862.5
75.5 865.0
75.3 867.5
75.3 870.0
75.3 872.5
75.1 875.0
75.2 877.5
75.3 880.0
75.5 882.5
75.7 885.0
76.0
76.3
76.6
76.9
77.3
2
A

B
1596.41 1.58
1573.61 1.61
1562.74 1.63
1552.21 1.64
1548.63 1.65
1552.99 1.65
1570.74 1.64
1613.05 1.59
1664.01 1.65
1763.64 1.58
1867.44 1.60
1996.74 1.60
2125.12 1.72
2267.88 1.71
2379.77 1.80
2481.42 1.83
2543.56 1.92
2601.28 1.93
2646.87 2.00
2697.96 2.00
2719.82 2.08
2780.02 2.03
2814.06 2.12
2870.40 2.11
2905.11 2.21
2924.54 2.28
2971.93 2.30
3016.31 2.32
3050.06 2.40
3104.12 2.45
3161.90 2.46
3199.96 2.58
3251.89 2.65
3318.38 2.65
3388.53 2.68
3
2
R %
77.5
77.7
77.8
77.7
77.7
77.8
77.6
77.7
77.3
76.6
75.9
74.7
73.4
72.1
70.8
69.7
68.5
67.7
67.0
66.4
65.8
65.4
64.8
64.2
63.8
63.1
62.7
61.9
61.2
60.7
60.0
59.1
58.4
57.6
56.6


2
Table 5: A (gm-³), B (gm-³) and R coefficients for the MERIS-TSM algorithm for bands
560nm to 881nm.
MERIS band λ(nm)
560
620
665
681
708
753
760
778
865
885


A

B
104.66 3.48
212.13 2.47
352.61 1.74
406.89 0.83
537.05 1.15
1810.76 1.27
1762.97 1.30
1827.06 1.50
2972.34 2.27
3365.00 2.70
R2 %
53.7
73.8
78.9
80.8
82.9
74.6
74.7
75.3
62.7
56.7
2
Table 6: A (gm-³), B (gm-³) and R coefficients for the MODIS-TSM algorithm for bands
551nm to 869nm.
MODIS band λ(nm)
551
555
645
667
678
748
858
869


A

B
122.01 3.22
112.18 3.34
258.85 2.21
362.09 1.65
400.75 1.02
1768.59 1.21
2846.89 2.15
3031.49 2.29
R2 %
53.9
53.9
76.8
79.1
80.4
75.4
64.3
61.9
2
Table 7: A (gm-³), B (gm-³) and R coefficients for the SeaWiFS-TSM algorithm for bands
555nm to 865nm.
SeaWiFS band λ(nm)
555
670
765
865
A

B
111.80 3.34
373.79 1.47
1824.86 1.34
2983.56 2.22
R2 %
53.9
79.4
75.1
62.7
4
II) Tables in Web Appendix 2
Table WA2- 1: The C coefficient as computed from literature (see text for details) and interpolated
to every 2.5nm.
λ(nm) C
520.0
522.5
525.0
527.5
530.0
532.5
535.0
537.5
540.0
542.5
545.0
547.5
550.0
552.5
555.0
557.5
560.0
562.5
565.0
567.5
570.0
572.5
575.0
577.5
580.0
582.5
585.0
587.5
590.0
592.5
595.0
597.5
0.75
0.78
0.81
0.83
0.86
0.89
0.91
0.94
0.97
0.99
1.02
1.04
1.07
1.10
1.12
1.17
1.23
1.28
1.33
1.38
1.43
1.48
1.53
1.58
1.63
1.68
1.73
1.78
1.84
1.89
1.94
1.99
λ(nm)
600.0
602.5
605.0
607.5
610.0
612.5
615.0
617.5
620.0
622.5
625.0
627.5
630.0
632.5
635.0
637.5
640.0
642.5
645.0
647.5
650.0
652.5
655.0
657.5
660.0
662.5
665.0
667.5
670.0
672.5
675.0
677.5
680.0
682.5
685.0
687.5
690.0
692.5
695.0
697.5
C
2.04
2.09
2.14
2.19
2.24
2.29
2.34
2.39
2.44
2.50
2.55
2.60
2.65
2.73
2.82
2.90
2.99
3.08
3.16
3.25
3.33
3.44
3.56
3.67
3.78
3.89
4.01
4.12
4.23
4.34
4.45
4.61
4.80
4.99
5.18
5.37
5.55
5.74
5.93
6.12
λ(nm)
700.0
702.5
705.0
707.5
710.0
712.5
715.0
717.5
720.0
722.5
725.0
727.5
730.0
732.5
735.0
737.5
740.0
742.5
745.0
747.5
750.0
752.5
755.0
757.5
760.0
762.5
765.0
767.5
770.0
772.5
775.0
777.5
780.0
782.5
785.0
787.5
790.0
792.5
795.0
797.5
C
6.31
6.50
6.68
6.87
7.06
7.25
7.44
7.75
8.07
8.38
8.69
9.01
9.32
9.64
9.95
10.27
10.58
10.90
11.21
11.52
11.84
12.15
12.47
12.78
13.10
13.41
13.73
14.55
15.37
16.19
17.01
17.83
18.65
19.47
20.29
21.11
21.93
22.75
23.58
24.40
λ(nm)
800.0
802.5
805.0
807.5
810.0
812.5
815.0
817.5
820.0
822.5
825.0
827.5
830.0
832.5
835.0
837.5
840.0
842.5
845.0
847.5
850.0
852.5
855.0
857.5
860.0
862.5
865.0
867.5
870.0
872.5
875.0
877.5
880.0
882.5
885.0
C
25.22
26.04
26.86
27.68
28.50
29.32
30.14
30.96
31.78
32.60
33.43
34.25
35.07
35.89
36.71
37.53
38.35
39.17
39.99
40.81
41.63
42.45
43.28
44.10
44.92
45.74
46.56
48.18
49.81
51.43
53.05
54.68
56.30
57.93
59.55
5
Table WA2- 2: The C coefficient for MERIS, MODIS and SeaWiFS central wavelengths.
Sensors central bands λ(nm)
MODIS 531
MODIS 551
MODIS HIRES, SeaWiFS 555
MERIS 560
MERIS 620
MODIS HIRES 645
MERIS 665
MODIS 667
SeaWiFS 670
MODIS 678
MERIS 681
MERIS 708
MODIS 748
MERIS 760
MERIS 753
SeaWiFS 765
MERIS 778
MODIS HIRES 858
MERIS, SeaWiFS 865
MODIS 869
MERIS 885
C
0.87
1.08
1.12
1.23
2.44
3.16
4.01
4.10
4.23
4.65
4.88
6.91
11.59
13.10
12.22
13.73
17.99
44.26
46.56
49.16
59.55
6
2
Table WA2-3: A (gm-³), B (gm-³) and R coefficients for generic narrow band TSM algorithm
based on  b for wavelengths ranging from 520nm to 885nm.
'
λ(nm)
A
B
R²%
520.0
522.5
525.0
527.5
530.0
532.5
535.0
537.5
540.0
542.5
545.0
547.5
550.0
552.5
555.0
557.5
560.0
562.5
565.0
567.5
570.0
572.5
575.0
577.5
580.0
582.5
585.0
587.5
590.0
592.5
595.0
597.5
20.28
21.00
22.92
23.39
23.84
24.14
24.43
24.60
24.76
25.01
25.24
26.43
26.62
26.80
26.88
27.42
27.83
29.08
29.54
29.98
30.45
31.03
32.35
33.21
34.26
35.24
36.75
37.66
39.02
41.31
43.42
46.29
4.07
3.93
3.32
3.19
3.07
2.97
2.87
2.79
2.71
2.61
2.52
2.23
2.14
2.04
1.95
1.80
1.67
1.34
1.22
1.12
1.04
1.07
0.82
0.78
0.74
0.73
0.64
0.67
0.68
0.68
0.66
0.54
45.6
47.6
49.1
50.2
51.1
51.9
52.6
53.2
53.8
54.4
55.0
55.6
56.1
56.6
57.1
57.7
58.2
58.8
59.3
59.8
60.4
61.0
61.7
62.5
63.4
64.3
65.1
66.1
67.1
68.3
69.6
70.9
λ(nm)
600.0
602.5
605.0
607.5
610.0
612.5
615.0
617.5
620.0
622.5
625.0
627.5
630.0
632.5
635.0
637.5
640.0
642.5
645.0
647.5
650.0
652.5
655.0
657.5
660.0
662.5
665.0
667.5
670.0
672.5
675.0
677.5
680.0
682.5
685.0
687.5
690.0
692.5
695.0
697.5
A
48.72
50.93
52.94
54.87
55.99
57.41
58.25
59.06
59.80
60.42
61.42
61.87
62.53
63.36
64.13
65.27
66.01
66.58
67.69
68.55
69.79
71.56
74.11
76.91
80.08
82.73
85.23
87.84
89.58
91.46
92.99
93.06
93.89
92.47
91.81
91.16
91.83
92.91
94.63
97.42
B
0.52
0.50
0.48
0.38
0.38
0.38
0.38
0.39
0.40
0.41
0.42
0.44
0.44
0.44
0.44
0.43
0.42
0.42
0.40
0.39
0.38
0.36
0.34
0.31
0.26
0.18
0.16
0.00
-0.10
-0.30
-0.49
-0.54
-0.65
-0.59
-0.59
-0.55
-0.57
-0.46
-0.36
-0.35
R²%
72.1
73.2
74.0
74.5
74.9
75.2
75.4
75.6
75.8
75.9
76.1
76.3
76.4
76.6
76.8
77.0
77.2
77.4
77.6
77.9
78.1
78.3
78.6
78.8
79.0
79.2
79.4
79.7
80.0
80.4
80.7
81.0
81.3
81.6
81.8
82.1
82.3
82.6
82.8
83.0
λ(nm)
700.0
702.5
705.0
707.5
710.0
712.5
715.0
717.5
720.0
722.5
725.0
727.5
730.0
732.5
735.0
737.5
740.0
742.5
745.0
747.5
750.0
752.5
755.0
757.5
760.0
762.5
765.0
767.5
770.0
772.5
775.0
777.5
780.0
782.5
785.0
787.5
790.0
792.5
795.0
797.5
A
100.24
103.73
109.41
114.74
121.02
128.12
135.21
144.51
156.18
170.24
185.83
205.65
227.94
248.74
268.57
284.76
297.00
302.97
308.21
312.31
315.88
317.27
317.79
313.39
309.61
307.75
315.45
324.44
328.83
328.75
325.25
320.68
316.48
312.54
308.38
303.81
298.71
296.42
292.02
288.00
B
-0.26
-0.18
-0.22
-0.16
-0.13
-0.10
-0.07
-0.06
-0.06
-0.07
-0.01
-0.04
-0.07
0.01
0.01
0.03
0.06
0.19
0.23
0.27
0.30
0.33
0.35
0.35
0.29
0.33
0.38
0.41
0.45
0.50
0.53
0.57
0.59
0.60
0.62
0.63
0.66
0.58
0.59
0.60
R²%
83.2
83.4
83.5
83.6
83.7
83.6
83.5
83.3
83.1
82.8
82.5
81.9
81.0
80.0
79.0
78.0
77.2
76.4
76.0
75.6
75.3
74.8
74.5
74.9
74.9
75.1
75.8
75.5
75.5
75.5
75.2
75.3
75.5
75.7
75.8
76.2
76.5
76.8
77.1
77.5
λ(nm)
800.0
802.5
805.0
807.5
810.0
812.5
815.0
817.5
820.0
822.5
825.0
827.5
830.0
832.5
835.0
837.5
840.0
842.5
845.0
847.5
850.0
852.5
855.0
857.5
860.0
862.5
865.0
867.5
870.0
872.5
875.0
877.5
880.0
882.5
885.0
A
284.49
281.83
279.85
278.29
277.95
278.62
280.69
286.66
296.34
307.75
324.27
343.59
365.77
384.12
400.74
417.44
427.83
435.54
439.83
446.85
451.50
458.56
462.09
469.28
475.54
480.79
488.32
492.26
497.34
505.42
509.95
518.94
523.32
532.85
544.37
B
0.61
0.62
0.63
0.65
0.66
0.66
0.67
0.66
0.65
0.73
0.74
0.76
0.77
0.87
0.97
0.98
1.03
1.08
1.21
1.23
1.26
1.28
1.40
1.43
1.49
1.51
1.52
1.60
1.68
1.72
1.82
1.87
2.01
2.02
2.02
7
R²%
77.7
77.9
78.0
77.8
77.9
77.9
77.7
77.9
77.4
76.8
76.0
74.8
73.5
72.2
70.8
69.8
68.6
67.8
67.1
66.4
65.8
65.4
64.9
64.3
63.8
63.1
62.7
61.9
61.2
60.7
60.0
59.1
58.4
57.6
56.7
2
Table WA2-4: A (gm-³), B (gm-³) and R coefficients for MERIS TSM algorithm at bands 560nm
to 881nm.
MERIS band λ(nm)
A
560
620
665
681
708
753
760
778
865
885
28.24
59.63
84.91
93.18
116.07
317.61
310.64
319.31
486.18
537.85
B
1.59
0.39
0.07
-0.61
-0.15
0.29
0.29
0.56
1.54
2.12
2
R %
58.2
75.7
79.4
81.4
83.6
74.9
75.0
75.5
62.7
56.7
2
Table WA2-5: A (gm-³), B (gm-³) and R coefficients for MODIS TSM algorithm at bands 551nm
to 869nm.
MODIS band λ(nm)
551
555
645
667
678
748
858
869
A
B
27.28 2.09
26.88 1.94
68.42 0.38
86.39 0.02
92.46 -0.50
310.81 0.22
468.31 1.40
493.92 1.58
2
R %
56.0
57.0
77.7
79.6
81.1
75.8
64.4
62.0
2
Table WA2-6: A (gm-³), B (gm-³) and R coefficients for SeaWiFS TSM algorithm at bands
555nm to 865nm.
SeaWiFS band λ(nm)
555
670
765
865
A
B
26.70 1.87
88.18 -0.13
318.83 0.39
486.16 1.54
2
R %
57.1
80.0
75.3
62.7
8