Landsat 8 & Sentinel-2 Relative Scatter (Embedded Excel) Calculator & Lookup Table (below)

(see the Landsat 5 & 7 Conversion to SR page for relative scatter for those satellites)

Landsat surface reflectance (SR) can be ordered for free from the USGS; a free downloadable toolkit can be used to convert Sentinel-2 to SR. The calculator and lookup table below are for converting to SR independently (as explained in tutorials and courses) - please read: Background information about USGS & GIS Ag Maps surface reflectance.

CALCULATOR MAY TAKE A FEW MOMENTS TO LOAD - IT IS CLOUD-BASED. IF IT IS DOWN, USE LOOKUP TABLE BELOW.

ENTER BAND 4 (RED) STARTING SCATTER THEN PRESS ENTER OR USE LOOKUP TABLE BELOW IF USING A DIFFERENT STARTING BAND.

Use CTRL V to paste a value in or CTRL C to copy and paste elsewhere. Click in open area to right of Landsat 8 calculator to reset, or exit page and return if necessary (make sure values change when you enter a different value).

L8 is Landsat 8; S2 is Sentinel-2; BCW is band center wavelength in micrometers; B is band (L8 BCW is listed on this NASA offsite page; S2 BCW is the average of Sentinel-2A & 2B, which are available in the metadata file in the download folder (BCW values are very similar between the two; the values in the calculator or table below can be used for both). Red Font is where band 4 (red band) starting reflectance scatter is entered. Landsat 8 and Sentinel-2 have different band 4 (red band) BCW and therefore have different scatter value relative to the same band 4 starting value (see Lookup Table below for relative scatter across Landsat 8 and Sentinel-2 bands). Generally for both, starting values should be from .012 to .04 (or very near those limits). The Calculator's relative scatter values have a power line correlation with band center wavelength of R² = 1.0 (the proper theoretical relationship) and the power exponents increase as scatter increases, as they should.

Using the Relative Scatter Calculator

Simply enter Band 4 Starting Reflectance Scatter to Calculate Relative Scatter for Other Bands. You can just copy a single value but a recommended way to use the Calculator is to: 1) Enter the band 4 starting scatter reflectance value, 2) After the relative scatter is calculated, shade in the all Band, BCW, and scatter values (three rows, including band 4), then hold CTRL and press C to Copy, 3) Use CNTRL V to paste the values into an Excel (or other) spreadsheet, 4) If you would like to plot the data, shade the BCW and scatter values in Excel and insert a scatter chart, 5) Right-click on a point in the scatter chart and add a power trendline, 6) Format trendline and display an equation of chart to find the power exponent. You can also display R² value on chart, 7) Double-click a green cell or the open area to right of Landsat 8 calculator to make the cells stop highlighting. You can add another value at this point.

The Calculator's relative scatter values have a power correlation with band center wavelength of R² = 1.0 (the proper theoretical relationship) and the power exponents increase as scatter increases, as they should. The values are based on research here and information Chavez (1988); Chavez (1988) first suggested a Continuous Relative Scatter Table.

Landsat 8 B4 0.018 has power exponent of -4.0 (corresponds to a very clear atmosphere [Chavez, 1988]; scatter can be less than this, however). L8 B4 0.0350, the power is -2.7 (-2.0 corresponds to a clear atmosphere [Chavez, 1988]). Very clear values can be somewhat lower than -4.0 based on our research here.

Sentinel-2 B4 0.0165 has power exponent of -4.0.

Important: Sentinel-2 Level 1C imagery pixel values represent TOA reflectance that has been converted to integer rasters by essentially multiplying TOA decimal values by 10,000 - so you either need to covert the rasters to reflectance units by dividing by 10,000 or multiply the scatter values below by 10,000 before applying.

Landsat 8 & Sentinel-2 Relative Scatter Lookup Table

(center wavelength in micrometers listed below band)

 L8 B2 L8 B3 L8 B4 L8 B5 S2 B2 S2 B3 S2 B4 S2 B5 S2 B6 S2 B7 S2 B8 S2 B8a 0.482 0.561 0.655 0.865 0.494 0.560 0.665 0.704 0.740 0.781 0.834 0.864 0.05339 0.02555 0.01200 0.00315 0.04980 0.02680 0.01200 0.00915 0.00730 0.00561 0.00400 0.00354 0.05355 0.02569 0.01210 0.00319 0.04996 0.02694 0.01210 0.00924 0.00738 0.00567 0.00405 0.00358 0.05370 0.02583 0.01220 0.00323 0.05011 0.02708 0.01220 0.00932 0.00745 0.00574 0.00410 0.00363 0.05385 0.02597 0.01230 0.00327 0.05027 0.02722 0.01230 0.00941 0.00752 0.00580 0.00415 0.00367 0.05401 0.02610 0.01240 0.00332 0.05042 0.02736 0.01240 0.00949 0.00760 0.00586 0.00420 0.00372 0.05416 0.02624 0.01250 0.00336 0.05058 0.02749 0.01250 0.00958 0.00767 0.00592 0.00425 0.00376 0.05432 0.02638 0.01260 0.00340 0.05073 0.02763 0.01260 0.00966 0.00775 0.00599 0.00430 0.00381 0.05447 0.02651 0.01270 0.00345 0.05089 0.02777 0.01270 0.00975 0.00782 0.00605 0.00435 0.00385 0.05462 0.02665 0.01280 0.00349 0.05104 0.02791 0.01280 0.00983 0.00789 0.00611 0.00440 0.00390 0.05477 0.02679 0.01290 0.00353 0.05119 0.02805 0.01290 0.00992 0.00797 0.00618 0.00445 0.00394 0.05493 0.02692 0.01300 0.00358 0.05135 0.02818 0.01300 0.01000 0.00804 0.00624 0.00450 0.00399 0.05508 0.02706 0.01310 0.00362 0.05150 0.02832 0.01310 0.01009 0.00812 0.00630 0.00455 0.00403 0.05523 0.02720 0.01320 0.00367 0.05165 0.02846 0.01320 0.01017 0.00819 0.00636 0.00460 0.00408 0.05538 0.02733 0.01330 0.00371 0.05181 0.02860 0.01330 0.01026 0.00827 0.00643 0.00465 0.00413 0.05553 0.02747 0.01340 0.00375 0.05196 0.02873 0.01340 0.01034 0.00834 0.00649 0.00470 0.00417 0.05568 0.02760 0.01350 0.00380 0.05211 0.02887 0.01350 0.01043 0.00842 0.00656 0.00475 0.00422 0.05583 0.02774 0.01360 0.00384 0.05226 0.02901 0.01360 0.01051 0.00849 0.00662 0.00481 0.00427 0.05598 0.02788 0.01370 0.00389 0.05241 0.02915 0.01370 0.01060 0.00857 0.00668 0.00486 0.00431 0.05613 0.02801 0.01380 0.00393 0.05257 0.02928 0.01380 0.01068 0.00864 0.00675 0.00491 0.00436 0.05628 0.02815 0.01390 0.00398 0.05272 0.02942 0.01390 0.01077 0.00872 0.00681 0.00496 0.00441 0.05643 0.02828 0.01400 0.00402 0.05287 0.02956 0.01400 0.01085 0.00879 0.00688 0.00501 0.00446 0.05658 0.02842 0.01410 0.00407 0.05302 0.02969 0.01410 0.01094 0.00887 0.00694 0.00506 0.00450 0.05673 0.02855 0.01420 0.00411 0.05317 0.02983 0.01420 0.01102 0.00894 0.00700 0.00511 0.00455 0.05688 0.02869 0.01430 0.00416 0.05332 0.02997 0.01430 0.01111 0.00902 0.00707 0.00517 0.00460 0.05703 0.02882 0.01440 0.00420 0.05347 0.03010 0.01440 0.01120 0.00909 0.00713 0.00522 0.00465 0.05718 0.02896 0.01450 0.00425 0.05362 0.03024 0.01450 0.01128 0.00917 0.00720 0.00527 0.00469 0.05733 0.02909 0.01460 0.00429 0.05377 0.03037 0.01460 0.01137 0.00924 0.00726 0.00532 0.00474 0.05747 0.02923 0.01470 0.00434 0.05391 0.03051 0.01470 0.01145 0.00932 0.00733 0.00537 0.00479 0.05762 0.02936 0.01480 0.00439 0.05406 0.03064 0.01480 0.01154 0.00939 0.00739 0.00543 0.00484 0.05777 0.02949 0.01490 0.00443 0.05421 0.03078 0.01490 0.01162 0.00947 0.00746 0.00548 0.00489 0.05792 0.02963 0.01500 0.00448 0.05436 0.03091 0.01500 0.01171 0.00955 0.00752 0.00553 0.00493 0.05806 0.02976 0.01510 0.00453 0.05451 0.03105 0.01510 0.01180 0.00962 0.00759 0.00558 0.00498 0.05821 0.02990 0.01520 0.00457 0.05466 0.03118 0.01520 0.01188 0.00970 0.00765 0.00564 0.00503 0.05835 0.03003 0.01530 0.00462 0.05480 0.03132 0.01530 0.01197 0.00977 0.00772 0.00569 0.00508 0.05850 0.03016 0.01540 0.00467 0.05495 0.03145 0.01540 0.01205 0.00985 0.00778 0.00574 0.00513 0.05865 0.03030 0.01550 0.00471 0.05510 0.03159 0.01550 0.01214 0.00993 0.00785 0.00580 0.00518 0.05879 0.03043 0.01560 0.00476 0.05524 0.03172 0.01560 0.01223 0.01000 0.00791 0.00585 0.00523 0.05894 0.03056 0.01570 0.00481 0.05539 0.03186 0.01570 0.01231 0.01008 0.00798 0.00590 0.00528 0.05908 0.03069 0.01580 0.00485 0.05553 0.03199 0.01580 0.01240 0.01016 0.00805 0.00596 0.00533 0.05923 0.03083 0.01590 0.00490 0.05568 0.03212 0.01590 0.01249 0.01023 0.00811 0.00601 0.00538 0.05937 0.03096 0.01600 0.00495 0.05583 0.03226 0.01600 0.01257 0.01031 0.00818 0.00607 0.00543 0.05951 0.03109 0.01610 0.00500 0.05597 0.03239 0.01610 0.01266 0.01039 0.00824 0.00612 0.00548 0.05966 0.03122 0.01620 0.00505 0.05612 0.03252 0.01620 0.01274 0.01046 0.00831 0.00617 0.00553 0.05980 0.03136 0.01630 0.00509 0.05626 0.03266 0.01630 0.01283 0.01054 0.00838 0.00623 0.00558 0.05994 0.03149 0.01640 0.00514 0.05641 0.03279 0.01640 0.01292 0.01062 0.00844 0.00628 0.00563 0.06009 0.03162 0.01650 0.00519 0.05655 0.03292 0.01650 0.01300 0.01069 0.00851 0.00634 0.00568 0.06023 0.03175 0.01660 0.00524 0.05669 0.03306 0.01660 0.01309 0.01077 0.00858 0.00639 0.00573 0.06037 0.03188 0.01670 0.00529 0.05684 0.03319 0.01670 0.01318 0.01085 0.00864 0.00645 0.00578 0.06051 0.03202 0.01680 0.00534 0.05698 0.03332 0.01680 0.01326 0.01093 0.00871 0.00650 0.00583 0.06066 0.03215 0.01690 0.00538 0.05712 0.03346 0.01690 0.01335 0.01100 0.00878 0.00656 0.00588 0.06080 0.03228 0.01700 0.00543 0.05727 0.03359 0.01700 0.01344 0.01108 0.00885 0.00661 0.00593 0.06094 0.03241 0.01710 0.00548 0.05741 0.03372 0.01710 0.01352 0.01116 0.00891 0.00667 0.00599 0.06108 0.03254 0.01720 0.00553 0.05755 0.03385 0.01720 0.01361 0.01124 0.00898 0.00672 0.00604 0.06122 0.03267 0.01730 0.00558 0.05769 0.03398 0.01730 0.01370 0.01131 0.00905 0.00678 0.00609 0.06136 0.03280 0.01740 0.00563 0.05784 0.03412 0.01740 0.01379 0.01139 0.00911 0.00684 0.00614 0.06150 0.03293 0.01750 0.00568 0.05798 0.03425 0.01750 0.01387 0.01147 0.00918 0.00689 0.00619 0.06164 0.03306 0.01760 0.00573 0.05812 0.03438 0.01760 0.01396 0.01155 0.00925 0.00695 0.00624 0.06178 0.03319 0.01770 0.00578 0.05826 0.03451 0.01770 0.01405 0.01162 0.00932 0.00700 0.00630 0.06192 0.03332 0.01780 0.00583 0.05840 0.03464 0.01780 0.01413 0.01170 0.00939 0.00706 0.00635 0.06206 0.03345 0.01790 0.00588 0.05854 0.03477 0.01790 0.01422 0.01178 0.00945 0.00712 0.00640 0.06220 0.03358 0.01800 0.00593 0.05868 0.03490 0.01800 0.01431 0.01186 0.00952 0.00717 0.00645 0.06234 0.03371 0.01810 0.00598 0.05882 0.03503 0.01810 0.01440 0.01194 0.00959 0.00723 0.00651 0.06248 0.03384 0.01820 0.00603 0.05896 0.03517 0.01820 0.01448 0.01202 0.00966 0.00729 0.00656 0.06262 0.03397 0.01830 0.00608 0.05910 0.03530 0.01830 0.01457 0.01209 0.00973 0.00734 0.00661 0.06275 0.03410 0.01840 0.00613 0.05924 0.03543 0.01840 0.01466 0.01217 0.00980 0.00740 0.00667 0.06289 0.03423 0.01850 0.00618 0.05938 0.03556 0.01850 0.01475 0.01225 0.00986 0.00746 0.00672 0.06303 0.03436 0.01860 0.00623 0.05952 0.03569 0.01860 0.01483 0.01233 0.00993 0.00751 0.00677 0.06317 0.03449 0.01870 0.00628 0.05966 0.03582 0.01870 0.01492 0.01241 0.01000 0.00757 0.00683 0.06330 0.03462 0.01880 0.00634 0.05979 0.03595 0.01880 0.01501 0.01249 0.01007 0.00763 0.00688 0.06344 0.03475 0.01890 0.00639 0.05993 0.03608 0.01890 0.01510 0.01257 0.01014 0.00769 0.00693 0.06358 0.03488 0.01900 0.00644 0.06007 0.03621 0.01900 0.01518 0.01264 0.01021 0.00774 0.00699 0.06371 0.03501 0.01910 0.00649 0.06021 0.03634 0.01910 0.01527 0.01272 0.01028 0.00780 0.00704 0.06385 0.03513 0.01920 0.00654 0.06034 0.03646 0.01920 0.01536 0.01280 0.01035 0.00786 0.00709 0.06398 0.03526 0.01930 0.00659 0.06048 0.03659 0.01930 0.01545 0.01288 0.01042 0.00792 0.00715 0.06412 0.03539 0.01940 0.00665 0.06062 0.03672 0.01940 0.01554 0.01296 0.01049 0.00798 0.00720 0.06425 0.03552 0.01950 0.00670 0.06075 0.03685 0.01950 0.01562 0.01304 0.01056 0.00803 0.00726 0.06439 0.03565 0.01960 0.00675 0.06089 0.03698 0.01960 0.01571 0.01312 0.01063 0.00809 0.00731 0.06452 0.03577 0.01970 0.00680 0.06103 0.03711 0.01970 0.01580 0.01320 0.01070 0.00815 0.00737 0.06466 0.03590 0.01980 0.00686 0.06116 0.03724 0.01980 0.01589 0.01328 0.01077 0.00821 0.00742 0.06479 0.03603 0.01990 0.00691 0.06130 0.03737 0.01990 0.01598 0.01336 0.01084 0.00827 0.00748 0.06492 0.03616 0.02000 0.00696 0.06143 0.03749 0.02000 0.01606 0.01344 0.01091 0.00833 0.00753 0.06506 0.03628 0.02010 0.00701 0.06157 0.03762 0.02010 0.01615 0.01352 0.01098 0.00839 0.00759 0.06519 0.03641 0.02020 0.00707 0.06170 0.03775 0.02020 0.01624 0.01360 0.01105 0.00845 0.00764 0.06532 0.03654 0.02030 0.00712 0.06183 0.03788 0.02030 0.01633 0.01368 0.01112 0.00851 0.00770 0.06546 0.03666 0.02040 0.00717 0.06197 0.03801 0.02040 0.01642 0.01376 0.01119 0.00857 0.00775 0.06559 0.03679 0.02050 0.00723 0.06210 0.03813 0.02050 0.01651 0.01384 0.01126 0.00863 0.00781 0.06572 0.03692 0.02060 0.00728 0.06224 0.03826 0.02060 0.01660 0.01392 0.01133 0.00869 0.00787 0.06585 0.03704 0.02070 0.00733 0.06237 0.03839 0.02070 0.01668 0.01400 0.01140 0.00875 0.00792 0.06598 0.03717 0.02080 0.00739 0.06250 0.03851 0.02080 0.01677 0.01408 0.01147 0.00881 0.00798 0.06611 0.03730 0.02090 0.00744 0.06263 0.03864 0.02090 0.01686 0.01416 0.01154 0.00887 0.00804 0.06625 0.03742 0.02100 0.00750 0.06277 0.03877 0.02100 0.01695 0.01424 0.01161 0.00893 0.00809 0.06638 0.03755 0.02110 0.00755 0.06290 0.03890 0.02110 0.01704 0.01432 0.01168 0.00899 0.00815 0.06651 0.03767 0.02120 0.00761 0.06303 0.03902 0.02120 0.01713 0.01440 0.01176 0.00905 0.00821 0.06664 0.03780 0.02130 0.00766 0.06316 0.03915 0.02130 0.01722 0.01448 0.01183 0.00911 0.00826 0.06677 0.03792 0.02140 0.00771 0.06329 0.03927 0.02140 0.01731 0.01456 0.01190 0.00917 0.00832 0.06690 0.03805 0.02150 0.00777 0.06343 0.03940 0.02150 0.01739 0.01464 0.01197 0.00923 0.00838 0.06703 0.03817 0.02160 0.00782 0.06356 0.03953 0.02160 0.01748 0.01472 0.01204 0.00929 0.00843 0.06716 0.03830 0.02170 0.00788 0.06369 0.03965 0.02170 0.01757 0.01480 0.01211 0.00935 0.00849 0.06728 0.03842 0.02180 0.00793 0.06382 0.03978 0.02180 0.01766 0.01488 0.01219 0.00941 0.00855 0.06741 0.03855 0.02190 0.00799 0.06395 0.03990 0.02190 0.01775 0.01496 0.01226 0.00947 0.00861 0.06754 0.03867 0.02200 0.00805 0.06408 0.04003 0.02200 0.01784 0.01505 0.01233 0.00954 0.00866 0.06767 0.03880 0.02210 0.00810 0.06421 0.04015 0.02210 0.01793 0.01513 0.01240 0.00960 0.00872 0.06780 0.03892 0.02220 0.00816 0.06434 0.04028 0.02220 0.01802 0.01521 0.01247 0.00966 0.00878 0.06792 0.03905 0.02230 0.00821 0.06447 0.04040 0.02230 0.01811 0.01529 0.01255 0.00972 0.00884 0.06805 0.03917 0.02240 0.00827 0.06459 0.04053 0.02240 0.01820 0.01537 0.01262 0.00978 0.00890 0.06818 0.03930 0.02250 0.00832 0.06472 0.04065 0.02250 0.01829 0.01545 0.01269 0.00984 0.00896 0.06831 0.03942 0.02260 0.00838 0.06485 0.04078 0.02260 0.01838 0.01553 0.01277 0.00991 0.00901 0.06843 0.03954 0.02270 0.00844 0.06498 0.04090 0.02270 0.01847 0.01562 0.01284 0.00997 0.00907 0.06856 0.03967 0.02280 0.00849 0.06511 0.04103 0.02280 0.01856 0.01570 0.01291 0.01003 0.00913 0.06868 0.03979 0.02290 0.00855 0.06523 0.04115 0.02290 0.01864 0.01578 0.01298 0.01009 0.00919 0.06881 0.03991 0.02300 0.00861 0.06536 0.04128 0.02300 0.01873 0.01586 0.01306 0.01016 0.00925 0.06894 0.04004 0.02310 0.00866 0.06549 0.04140 0.02310 0.01882 0.01594 0.01313 0.01022 0.00931 0.06906 0.04016 0.02320 0.00872 0.06561 0.04152 0.02320 0.01891 0.01603 0.01320 0.01028 0.00937 0.06919 0.04028 0.02330 0.00878 0.06574 0.04165 0.02330 0.01900 0.01611 0.01328 0.01035 0.00943 0.06931 0.04041 0.02340 0.00883 0.06587 0.04177 0.02340 0.01909 0.01619 0.01335 0.01041 0.00949 0.06943 0.04053 0.02350 0.00889 0.06599 0.04189 0.02350 0.01918 0.01627 0.01342 0.01047 0.00955 0.06956 0.04065 0.02360 0.00895 0.06612 0.04202 0.02360 0.01927 0.01635 0.01350 0.01054 0.00961 0.06968 0.04077 0.02370 0.00901 0.06624 0.04214 0.02370 0.01936 0.01644 0.01357 0.01060 0.00967 0.06981 0.04090 0.02380 0.00907 0.06637 0.04226 0.02380 0.01945 0.01652 0.01365 0.01066 0.00973 0.06993 0.04102 0.02390 0.00912 0.06649 0.04239 0.02390 0.01954 0.01660 0.01372 0.01073 0.00979 0.07005 0.04114 0.02400 0.00918 0.06662 0.04251 0.02400 0.01963 0.01668 0.01379 0.01079 0.00985 0.07018 0.04126 0.02410 0.00924 0.06674 0.04263 0.02410 0.01972 0.01677 0.01387 0.01086 0.00991 0.07030 0.04138 0.02420 0.00930 0.06687 0.04275 0.02420 0.01981 0.01685 0.01394 0.01092 0.00997 0.07042 0.04151 0.02430 0.00936 0.06699 0.04288 0.02430 0.01990 0.01693 0.01402 0.01098 0.01003 0.07054 0.04163 0.02440 0.00941 0.06711 0.04300 0.02440 0.02000 0.01702 0.01409 0.01105 0.01009 0.07066 0.04175 0.02450 0.00947 0.06724 0.04312 0.02450 0.02009 0.01710 0.01417 0.01111 0.01015 0.07079 0.04187 0.02460 0.00953 0.06736 0.04324 0.02460 0.02018 0.01718 0.01424 0.01118 0.01022 0.07091 0.04199 0.02470 0.00959 0.06748 0.04336 0.02470 0.02027 0.01726 0.01432 0.01124 0.01028 0.07103 0.04211 0.02480 0.00965 0.06761 0.04348 0.02480 0.02036 0.01735 0.01439 0.01131 0.01034 0.07115 0.04223 0.02490 0.00971 0.06773 0.04361 0.02490 0.02045 0.01743 0.01447 0.01137 0.01040 0.07127 0.04235 0.02500 0.00977 0.06785 0.04373 0.02500 0.02054 0.01751 0.01454 0.01144 0.01046 0.07139 0.04247 0.02510 0.00983 0.06797 0.04385 0.02510 0.02063 0.01760 0.01462 0.01150 0.01052 0.07151 0.04259 0.02520 0.00989 0.06809 0.04397 0.02520 0.02072 0.01768 0.01469 0.01157 0.01059 0.07163 0.04271 0.02530 0.00995 0.06821 0.04409 0.02530 0.02081 0.01776 0.01477 0.01164 0.01065 0.07175 0.04283 0.02540 0.01001 0.06834 0.04421 0.02540 0.02090 0.01785 0.01484 0.01170 0.01071 0.07187 0.04295 0.02550 0.01007 0.06846 0.04433 0.02550 0.02099 0.01793 0.01492 0.01177 0.01077 0.07199 0.04307 0.02560 0.01013 0.06858 0.04445 0.02560 0.02108 0.01802 0.01499 0.01183 0.01084 0.07210 0.04319 0.02570 0.01019 0.06870 0.04457 0.02570 0.02117 0.01810 0.01507 0.01190 0.01090 0.07222 0.04331 0.02580 0.01025 0.06882 0.04469 0.02580 0.02127 0.01818 0.01515 0.01197 0.01096 0.07234 0.04343 0.02590 0.01031 0.06894 0.04481 0.02590 0.02136 0.01827 0.01522 0.01203 0.01102 0.07246 0.04355 0.02600 0.01037 0.06906 0.04493 0.02600 0.02145 0.01835 0.01530 0.01210 0.01109 0.07258 0.04367 0.02610 0.01043 0.06918 0.04505 0.02610 0.02154 0.01844 0.01538 0.01217 0.01115 0.07269 0.04379 0.02620 0.01049 0.06929 0.04517 0.02620 0.02163 0.01852 0.01545 0.01223 0.01121 0.07281 0.04391 0.02630 0.01055 0.06941 0.04529 0.02630 0.02172 0.01860 0.01553 0.01230 0.01128 0.07293 0.04403 0.02640 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0.05706 0.03680 0.03157 0.02788 0.02412 0.02003 0.01869 0.08370 0.05577 0.03690 0.01776 0.08050 0.05717 0.03690 0.03166 0.02797 0.02420 0.02011 0.01877 0.08379 0.05588 0.03700 0.01783 0.08059 0.05727 0.03700 0.03176 0.02806 0.02429 0.02019 0.01885 0.08388 0.05598 0.03710 0.01791 0.08068 0.05737 0.03710 0.03186 0.02815 0.02438 0.02027 0.01893 0.08397 0.05609 0.03720 0.01798 0.08077 0.05748 0.03720 0.03195 0.02824 0.02447 0.02035 0.01900 0.08405 0.05619 0.03730 0.01806 0.08086 0.05758 0.03730 0.03205 0.02834 0.02455 0.02043 0.01908 0.08414 0.05630 0.03740 0.01814 0.08095 0.05769 0.03740 0.03215 0.02843 0.02464 0.02051 0.01916 0.08423 0.05640 0.03750 0.01821 0.08104 0.05779 0.03750 0.03224 0.02852 0.02473 0.02059 0.01924 0.08432 0.05650 0.03760 0.01829 0.08113 0.05789 0.03760 0.03234 0.02862 0.02482 0.02067 0.01932 0.08440 0.05661 0.03770 0.01836 0.08122 0.05800 0.03770 0.03244 0.02871 0.02491 0.02075 0.01940 0.08449 0.05671 0.03780 0.01844 0.08131 0.05810 0.03780 0.03253 0.02880 0.02499 0.02083 0.01947 0.08457 0.05682 0.03790 0.01851 0.08140 0.05820 0.03790 0.03263 0.02889 0.02508 0.02091 0.01955 0.08466 0.05692 0.03800 0.01859 0.08149 0.05831 0.03800 0.03273 0.02899 0.02517 0.02100 0.01963 0.08475 0.05702 0.03810 0.01867 0.08157 0.05841 0.03810 0.03282 0.02908 0.02526 0.02108 0.01971 0.08483 0.05713 0.03820 0.01874 0.08166 0.05851 0.03820 0.03292 0.02917 0.02535 0.02116 0.01979 0.08492 0.05723 0.03830 0.01882 0.08175 0.05862 0.03830 0.03302 0.02927 0.02543 0.02124 0.01987 0.08500 0.05733 0.03840 0.01890 0.08184 0.05872 0.03840 0.03311 0.02936 0.02552 0.02132 0.01995 0.08509 0.05743 0.03850 0.01897 0.08192 0.05882 0.03850 0.03321 0.02945 0.02561 0.02141 0.02003 0.08517 0.05754 0.03860 0.01905 0.08201 0.05892 0.03860 0.03331 0.02955 0.02570 0.02149 0.02011 0.08525 0.05764 0.03870 0.01913 0.08210 0.05903 0.03870 0.03341 0.02964 0.02579 0.02157 0.02019 0.08534 0.05774 0.03880 0.01921 0.08218 0.05913 0.03880 0.03350 0.02973 0.02588 0.02165 0.02027 0.08542 0.05784 0.03890 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0.03077 0.02687 0.02257 0.02116 0.08632 0.05896 0.04000 0.02014 0.08319 0.06034 0.04000 0.03467 0.03086 0.02696 0.02265 0.02124

Reference

Chavez, P.S., Jr. 1988. An improved dark-object subtraction technique for atmospheric scattering correction of multispectral data. Remote Sensing of Environment 24: pp.459-479.