

FOLLOWUS
School of Remote Sensing and Geomatics Engineering, Nanjing University of Information Science & Technology, Nanjing 210044, China
shaoqigong@163.com
Received:21 April 2022,
Accepted:01 June 2022,
Online First:18 July 2022,
Published:01 September 2023
Scan QR Code
GONG Shaoqi.Extrapolation of upwelling irradiance just beneath the ocean surface from the in-water radiometric profile measurements[J].Journal of Oceanology and Limnology,2023,41(05):1694-1705.
Accurate measurements of upwelling irradiance just beneath the ocean surface
E
u
(
λ
0
-
)
can be used to calculate ocean optical parameters
and further develop retrieval algorithms for remotely sensing water component concentrations. Due to the effects of sea surface waves
perturbation from instrument platform (ship)
and instrument self-shading
E
u
(
λ
0
-
) is often difficult to be accurately measured. This study presents a procedure for extrapolating the
E
u
(
λ
0
-
) from the in-water radiometric profile measurements. Using the optical profile data from 13 bands (ranging from 381 to 779 nm) measured by 45 casts in the Ligurian Sea during 2003–2009
the
E
u
(
λ
0
-
) was extrapolated from in-water upwelling irradiance measurements between the initial shallow depth
Z
0
and an optimal bottom depth
Z
1
by three linear models (linear
2-degree polynomial
and exponentia
l) and two nonlinear models (LOESS and spline). The accumulated errors of extrapolated
E
u
(
λ
0
-
) at each wavelength for the five models were calculated. It was found that the optimal
Z
1
depth for the linear and exponential models was at the depth of 80% of
E
u
(
λ
Z
0
)
50% of
E
u
(
λ
Z
0
) for the 2-degree polynomial model
40% of
E
u
(
λ
Z
0
) for the LOESS model
and 15% of
E
u
(
λ
Z
0
) for the spline model. The extrapolated
E
u
(
λ
0
-
) derived from the five models was in good agreement with the calculated true
E
u
(
λ
0
-
). In all bands
the 2-degree polynomial model achieved the highest accuracy
followed by the LOESS model. In the short band of 381–559 nm
the linear and exponential models had the third-best performance
and the spline model performed worst within this range. For the red band of 619–779 nm
the accuracies of the exponential and spline models had the third highest performance
and the linear model produced lowest accuracy. Hence
the 2-degree polynomial model was an optimal procedure for extrapolation of
E
u
(
λ
0
-
) from the in-water radiometric profile measurements.
Albert A , Mobley C D . 2003 . An analytical model for subsurface irradiance and remote sensing reflectance in deep and shallow case-2 waters . Optics Express , 11 ( 22 ): 2873 - 2890 . https://do 10.1364/oe.11.002873 http://dx.doi.org/10.1364/oe.11.002873
Antoine D , Chami M , Claustre H et al . 2006 . BOUSSOLE: A Joint CNRS-INSU, ESA, CNES, and NASA Ocean Color Calibration and Validation Activity. NASA/TM-2006-214147, NASA, Greenbelt .
Antoine D , d'Ortenzio F , Hooker S B et al . 2008a . Assessment of uncertainty in the ocean reflectance determined by three satellite ocean color sensors (MERIS, SeaWiFS and MODIS-A) at an offshore site in the Mediterranean Sea (BOUSSOLE project) . Journal of Geophysical Research , 113 ( C7 ): C07013 , https://doi.org/10.1029/2007JC004472 https://doi.org/10.1029/2007JC004472 .
Antoine D , Guevel P , Desté J F et al . 2008b . The "BOUSSOLE" Buoy—a new transparent-to-swell taut mooring dedicated to marine optics: design, tests, and performance at sea . Journal of Atmospheric and Oceanic Technology , 25 ( 6 ): 968 - 989 . https://do 10.1175/2007JTECHO563.1 http://dx.doi.org/10.1175/2007JTECHO563.1
Białek A , Vellucci V , Gentil B et al . 2020 . Monte Carlo–based quantification of uncertainties in determining ocean remote sensing reflectance from underwater fixed-depth radiometry measurements . Journal of Atmospheric and Oceanic Technology , 37 ( 2 ): 177 - 196 . https://do 10.1175/jtech-d-19-0049.1 http://dx.doi.org/10.1175/jtech-d-19-0049.1
Clark D K , Yarbrough M A , Feinholz M et al . 2003 . MOBY, a radiometric buoy for performance monitoring and vicarious calibration of satellite ocean color sensors: measurement and data analysis protocols . In: Mueller J L, Fargion G S, McClain C R eds. Ocean Optics Protocols for Satellite Ocean Color Sensor Validation , Revision 4 , Volume VI: Special Topics in Ocean Optics Protocols and Appendices. NASA, Greenbelt. p. 138 - 170 . https://do http://dx.doi.org/ http://dx.doi.org/http://dx.doi.org/
D'Alimonte D , Shybanov E B , Zibordi G et al . 2013 . Regression of in-water radiometric profile data . Optics Express , 21 ( 23 ): 27707 - 27733 . https://do 10.1364/oe.21.027707 http://dx.doi.org/10.1364/oe.21.027707
Dierssen H , Smith R C . 1997 . Estimation of irradiance just below the air-water interface . In: Proceedings of SPIE 2963 , Ocean Optics XIII. SPIE, Halifax. p. 204 - 230 . https://do 10.1117/12.266443 http://dx.doi.org/10.1117/12.266443
Gordon H R . 1985 . Ship perturbation of irradiance measurements at sea. 1: Monte Carlo simulations . Applied Optics , 24 ( 23 ): 4172 - 4182 . https://do 10.1364/ao.24.004172 http://dx.doi.org/10.1364/ao.24.004172
Gordon H R . 2005 . Normalized water-leaving radiance: revisiting the influence of surface roughness . Applied Optics , 44 ( 2 ): 241 - 248 , https://doi.org/10.1364/AO.44.000241 https://doi.org/10.1364/AO.44.000241 .
Gordon H R , Ding R . 1992 . Self-shading of in-water optical instruments . Limnology and Oceanography , 37 ( 3 ): 491 - 500 . https://do 10.4319/lo.1992.37.3.0491 http://dx.doi.org/10.4319/lo.1992.37.3.0491
Gregg W W , Carder K L . 1990 . A simple spectral solar irradiance model for cloudless maritime atmospheres . Limnology and Oceanography , 35 ( 8 ): 1657 - 1675 . https://do 10.4319/lo.1990.35.8.1657 http://dx.doi.org/10.4319/lo.1990.35.8.1657
He S Y , He M X , Fischer J . 2015 . Performance evaluation of operational atmospheric correction algorithms over the East China Seas . Chinese Journal of Oceanology and Limnology , 35 ( 1 ): 1 - 22 , https://doi.org/10.1007/s00343-016-5170-6 https://doi.org/10.1007/s00343-016-5170-6
Hieronymi M , Macke A . 2012 . On the influence of wind and waves on underwater irradiance fluctuations . Ocean Science , 8 ( 4 ): 455 - 471 . https://do 10.5194/os-8-455-2012 http://dx.doi.org/10.5194/os-8-455-2012
Hooker S B , Maritorena S . 2000 . An evaluation of oceanographic radiometers and deployment methodologies . Journal of Atmospheric and Oceanic Technology , 17 ( 6 ): 811 - 830 . https://do 10.1175/1520-0426(2000)017<0811:aeoora>2.0.co;2 http://dx.doi.org/10.1175/1520-0426(2000)017<0811:aeoora>2.0.co;2
Kirk J T O . 1991 . Volume scattering function, average cosines, and the underwater light field . Limnology and Oceanography , 36 ( 3 ): 455 - 467 . https://do 10.4319/lo.1991.36.3.0455 http://dx.doi.org/10.4319/lo.1991.36.3.0455
Leathers R A , Downes T V , Mobley C D . 2001 . Self-shading correction for upwelling sea-surface radiance measurements made with buoyed instruments . Optics Express , 8 ( 10 ): 561 - 570 . https://do 10.1364/oe.8.000561 http://dx.doi.org/10.1364/oe.8.000561
Lee Z P , Du K P , Arnone R . 2005 . A model for the diffuse attenuation coefficient of downwelling irradiance . Journal of Geophysical Research , 110 ( C2 ): C02016 , https://doi.org/10.1029/2004JC002573 https://doi.org/10.1029/2004JC002573 .
Li L H , Stramski D , Darecki M . 2018 . Characterization of the light field and apparent optical properties in the ocean euphotic layer based on hyperspectral measurements of irradiance quartet . Applied Sciences , 8 ( 12 ): 2677 , https://doi.org/10.3390/app8122677 https://doi.org/10.3390/app8122677 .
Li L H , Stramski D , Reynolds R A . 2016 . Effects of inelastic radiative processes on the determination of water-leaving spectral radiance from extrapolation of underwater near-surface measurements . Applied Optics , 55 ( 25 ): 7050 - 7067 . https://do 10.1364/AO.55.007050 http://dx.doi.org/10.1364/AO.55.007050
Liou K N . 2002 . An Introduction to Atmospheric Radiation. 2 nd edn . Academic Press , Amsterdam . p. 27 - 34 . https://do 10.1016/s0074-6142(02)80015-8 http://dx.doi.org/10.1016/s0074-6142(02)80015-8
Ma R H , Jiang G J , Duan H T et al . 2011 . Effective upwelling irradiance depths in turbid waters: a spectral analysis of origins and fate . Optics Express , 19 ( 8 ): 7127 - 7138 . https://do 10.1364/oe.19.007127 http://dx.doi.org/10.1364/oe.19.007127
Morel A , Maritorena S . 2001 . Bio-optical properties of oceanic waters: a reappraisal . Journal of Geophysical Research , 106 ( C4 ): 7163 - 7180 . https://do 10.1029/2000jc000319 http://dx.doi.org/10.1029/2000jc000319
Morel A , Prieur L . 1977 . Analysis of variations in ocean color . Limnology and Oceanography , 22 ( 4 ): 709 - 722 . https://do 10.4319/lo.1977.22.4.0709 http://dx.doi.org/10.4319/lo.1977.22.4.0709
Piskozub J . 2004a . Effect of ship shadow on in-water irradiance measurements . Oceanologia , 46 ( 1 ): 103 - 112 .
Piskozub J . 2004b . Effect of 3-D instrument casing shape on the self-shading of in-water upwelling irradiance . Optics Express , 12 ( 14 ): 3144 - 3148 .
Piskozub J , Weeks A R , Schwarz J N et al . 2000 . Self-shading of upwelling irradiance for an instrument with sensors on a sidearm . Applied Optics , 39 ( 12 ): 1872 - 1878 . https://do 10.1364/ao.39.001872 http://dx.doi.org/10.1364/ao.39.001872
Pope R M , Fry E S . 1997 . Absorption spectrum ( 380 - 700 nm) of pure water. II. Integrating cavity measurements. Applied Optics , 36 ( 33 ): 8710 - 8723 .
Saruya Y , Oishi T , Kishino M et al . 1997 . Influence of ship shadow on underwater irradiance fields . In: Proceedings of SPIE 2963 , Ocean Optics XIII. SPIE, Halifax, https://doi.org/10.1117/12.266397 https://doi.org/10.1117/12.266397 .
Sathyendranath S , Prieur L , Morel A . 1989 . A three-component model of ocean colour and its application to remote sensing of phytoplankton pigments in coastal waters . International Journal of Remote Sensing , 10 ( 8 ): 1373 - 1394 . https://do 10.1080/01431168908903974 http://dx.doi.org/10.1080/01431168908903974
Smith R C , Baker K S . 1981 . Optical properties of the clearest natural waters ( 200 - 800 nm). Applied Optics , 20 ( 2 ): 177 - 184 .
Sogandares F M , Fry E S . 1997 . Absorption spectrum ( 340 - 640 nm) of pure water. I . Photothermal measurements. Applied Optics , 36 ( 33 ): 8699 - 8709 .
van Heukelem L , Thomas C S . 2001 . Computer-assisted high-performance liquid chromatography method development with applications to the isolation and analysis of phytoplankton pigments . Journal of Chromatography A , 910 ( 1 ): 31 - 49 . https://do 10.1016/s0378-4347(00)00603-4 http://dx.doi.org/10.1016/s0378-4347(00)00603-4
Voss K J , Gordon H R , Flora S et al . 2017 . A method to extrapolate the diffuse upwelling radiance attenuation coefficient to the surface as applied to the Marine Optical Buoy (MOBY) . Journal of Atmospheric and Oceanic Technology , 34 ( 7 ): 1423 - 1432 . https://do 10.1175/jtech-d-16-0235.1 http://dx.doi.org/10.1175/jtech-d-16-0235.1
Wijesekera H W , Pegau W S , Boyd T J . 2005 . Effect of surface waves on the irradiance distribution in the upper ocean . Optics Express , 13 ( 23 ): 9257 - 9264 . https://do 10.1364/opex.13.009257 http://dx.doi.org/10.1364/opex.13.009257
Yang X P , Sokoletsky L , Wei X D et al . 2017 . Suspended sediment concentration mapping based on the MODIS satellite imagery in the East China inland, estuarine, and coastal waters . Chinese Journal of Oceanology and Limnology , 35 ( 1 ): 39 - 60 , https://doi.org/10.1007/s00343-016-5060-y https://doi.org/10.1007/s00343-016-5060-y .
Ye H P , Zhang B , Liao X H et al . 2019 . Gaussian decomposition and component pigment spectral analysis of phytoplankton absorption spectra . Journal of Oceanology and Limnology , 37 ( 5 ): 1542 - 1554 , https://doi.org/10.1007/s00343-019-8079-z https://doi.org/10.1007/s00343-019-8079-z .
Zaneveld J R V , Boss E , Barnard A . 2001 . Influence of surface waves on measured and modeled irradiance profiles . Applied Optics , 40 ( 9 ): 1442 - 1449 . https://do 10.1364/ao.40.001442 http://dx.doi.org/10.1364/ao.40.001442
Zibordi G , Ferrari G M . 1995 . Instrument self-shading in underwater optical measurements: experimental data . Applied Optics , 34 ( 15 ): 2750 - 2754 . https://do 10.1364/ao.34.002750 http://dx.doi.org/10.1364/ao.34.002750
0
Views
0
Downloads
0
CSCD
Publicity Resources
Related Articles
Related Author
Related Institution
京公网安备11010802024621