Deriving the Vertical Variations in the Diffuse Attenuation Coefficient of Photosynthetically Available Radiation in the North Pacific Ocean from Remote Sensing

Diffuse attenuation coefficient of photosynthetically available radiation (PAR), K<sub>PAR</sub>, is a key product of ocean color remote sensing. Current ocean color algorithms generally detect only the average K<sub>PAR</sub> within one optical depth, <inline-formula>&...

Full description

Bibliographic Details
Main Authors: Lei Chen, Jie Zhang, Xiaoju Pan, Peng Shi, Xiaobo Zhang
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:Remote Sensing
Subjects:
Online Access:https://www.mdpi.com/2072-4292/15/12/3023
_version_ 1797592760832753664
author Lei Chen
Jie Zhang
Xiaoju Pan
Peng Shi
Xiaobo Zhang
author_facet Lei Chen
Jie Zhang
Xiaoju Pan
Peng Shi
Xiaobo Zhang
author_sort Lei Chen
collection DOAJ
description Diffuse attenuation coefficient of photosynthetically available radiation (PAR), K<sub>PAR</sub>, is a key product of ocean color remote sensing. Current ocean color algorithms generally detect only the average K<sub>PAR</sub> within one optical depth, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mi>K</mi></mrow><mrow><mi>P</mi><mi>A</mi><mi>R</mi></mrow><mrow><mi>R</mi><mi>S</mi></mrow></msubsup></mrow></semantics></math></inline-formula>. Due to the marked vertical variations of K<sub>PAR</sub>, knowledge of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mi>K</mi></mrow><mrow><mi>P</mi><mi>A</mi><mi>R</mi></mrow><mrow><mi>R</mi><mi>S</mi></mrow></msubsup></mrow></semantics></math></inline-formula> is insufficient to accurately evaluate the submarine light field. By using field in situ observations, a two-step approach, based on the development of an ocean color algorithm for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mi>K</mi></mrow><mrow><mi>P</mi><mi>A</mi><mi>R</mi></mrow><mrow><mi>R</mi><mi>S</mi></mrow></msubsup></mrow></semantics></math></inline-formula> and the relationships between <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mi>K</mi></mrow><mrow><mi>P</mi><mi>A</mi><mi>R</mi></mrow><mrow><mi>R</mi><mi>S</mi></mrow></msubsup></mrow></semantics></math></inline-formula> and the average K<sub>PAR</sub> from the surface down to depth Z (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mover accent="true"><mrow><mi>K</mi></mrow><mo>¯</mo></mover></mrow><mrow><mi>P</mi><mi>A</mi><mi>R</mi></mrow><mrow><mi>Z</mi></mrow></msubsup></mrow></semantics></math></inline-formula>), was developed to remotely estimate the vertical variations in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mover accent="true"><mrow><mi>K</mi></mrow><mo>¯</mo></mover></mrow><mrow><mi>P</mi><mi>A</mi><mi>R</mi></mrow><mrow><mi>Z</mi></mrow></msubsup></mrow></semantics></math></inline-formula> in the North Pacific from the MODerate-resolution Imaging Spectrometer (MODIS) imagery. The root mean square difference of log(<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mover accent="true"><mrow><mi>K</mi></mrow><mo>¯</mo></mover></mrow><mrow><mi>P</mi><mi>A</mi><mi>R</mi></mrow><mrow><mi>Z</mi></mrow></msubsup></mrow></semantics></math></inline-formula>) in depths within the euphotic zone was around ±0.059 (in unit of m<sup>−1</sup> for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mover accent="true"><mrow><mi>K</mi></mrow><mo>¯</mo></mover></mrow><mrow><mi>P</mi><mi>A</mi><mi>R</mi></mrow><mrow><mi>Z</mi></mrow></msubsup></mrow></semantics></math></inline-formula>), which corresponded to a deviation of ±15% for the estimated <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mover accent="true"><mrow><mi>K</mi></mrow><mo>¯</mo></mover></mrow><mrow><mi>P</mi><mi>A</mi><mi>R</mi></mrow><mrow><mi>Z</mi></mrow></msubsup></mrow></semantics></math></inline-formula> and the penetration depths of PAR. Our study may provide a promising approach to detect the vertical variations of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mover accent="true"><mrow><mi>K</mi></mrow><mo>¯</mo></mover></mrow><mrow><mi>P</mi><mi>A</mi><mi>R</mi></mrow><mrow><mi>Z</mi></mrow></msubsup></mrow></semantics></math></inline-formula> and underwater PAR distributions in the North Pacific Ocean.
first_indexed 2024-03-11T01:58:42Z
format Article
id doaj.art-330ce5c2a3e2489b9ff52e02f8f01cb2
institution Directory Open Access Journal
issn 2072-4292
language English
last_indexed 2024-03-11T01:58:42Z
publishDate 2023-06-01
publisher MDPI AG
record_format Article
series Remote Sensing
spelling doaj.art-330ce5c2a3e2489b9ff52e02f8f01cb22023-11-18T12:25:16ZengMDPI AGRemote Sensing2072-42922023-06-011512302310.3390/rs15123023Deriving the Vertical Variations in the Diffuse Attenuation Coefficient of Photosynthetically Available Radiation in the North Pacific Ocean from Remote SensingLei Chen0Jie Zhang1Xiaoju Pan2Peng Shi3Xiaobo Zhang4College of Oceanography and Space Informatics, China University of Petroleum (East China), Qingdao 266580, ChinaCollege of Oceanography and Space Informatics, China University of Petroleum (East China), Qingdao 266580, ChinaYazhou Bay Innovation Institute/College of Marine Science and Technology, Hainan Tropical Ocean University, Sanya 572022, ChinaProject Management Office of China National Scientific Seafloor Observatory, Tongji University, Shanghai 200082, ChinaShandong Province Key Laboratory of Marine Ecological Environment and Disaster Prevention and Mitigation, Qingdao 266033, ChinaDiffuse attenuation coefficient of photosynthetically available radiation (PAR), K<sub>PAR</sub>, is a key product of ocean color remote sensing. Current ocean color algorithms generally detect only the average K<sub>PAR</sub> within one optical depth, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mi>K</mi></mrow><mrow><mi>P</mi><mi>A</mi><mi>R</mi></mrow><mrow><mi>R</mi><mi>S</mi></mrow></msubsup></mrow></semantics></math></inline-formula>. Due to the marked vertical variations of K<sub>PAR</sub>, knowledge of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mi>K</mi></mrow><mrow><mi>P</mi><mi>A</mi><mi>R</mi></mrow><mrow><mi>R</mi><mi>S</mi></mrow></msubsup></mrow></semantics></math></inline-formula> is insufficient to accurately evaluate the submarine light field. By using field in situ observations, a two-step approach, based on the development of an ocean color algorithm for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mi>K</mi></mrow><mrow><mi>P</mi><mi>A</mi><mi>R</mi></mrow><mrow><mi>R</mi><mi>S</mi></mrow></msubsup></mrow></semantics></math></inline-formula> and the relationships between <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mi>K</mi></mrow><mrow><mi>P</mi><mi>A</mi><mi>R</mi></mrow><mrow><mi>R</mi><mi>S</mi></mrow></msubsup></mrow></semantics></math></inline-formula> and the average K<sub>PAR</sub> from the surface down to depth Z (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mover accent="true"><mrow><mi>K</mi></mrow><mo>¯</mo></mover></mrow><mrow><mi>P</mi><mi>A</mi><mi>R</mi></mrow><mrow><mi>Z</mi></mrow></msubsup></mrow></semantics></math></inline-formula>), was developed to remotely estimate the vertical variations in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mover accent="true"><mrow><mi>K</mi></mrow><mo>¯</mo></mover></mrow><mrow><mi>P</mi><mi>A</mi><mi>R</mi></mrow><mrow><mi>Z</mi></mrow></msubsup></mrow></semantics></math></inline-formula> in the North Pacific from the MODerate-resolution Imaging Spectrometer (MODIS) imagery. The root mean square difference of log(<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mover accent="true"><mrow><mi>K</mi></mrow><mo>¯</mo></mover></mrow><mrow><mi>P</mi><mi>A</mi><mi>R</mi></mrow><mrow><mi>Z</mi></mrow></msubsup></mrow></semantics></math></inline-formula>) in depths within the euphotic zone was around ±0.059 (in unit of m<sup>−1</sup> for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mover accent="true"><mrow><mi>K</mi></mrow><mo>¯</mo></mover></mrow><mrow><mi>P</mi><mi>A</mi><mi>R</mi></mrow><mrow><mi>Z</mi></mrow></msubsup></mrow></semantics></math></inline-formula>), which corresponded to a deviation of ±15% for the estimated <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mover accent="true"><mrow><mi>K</mi></mrow><mo>¯</mo></mover></mrow><mrow><mi>P</mi><mi>A</mi><mi>R</mi></mrow><mrow><mi>Z</mi></mrow></msubsup></mrow></semantics></math></inline-formula> and the penetration depths of PAR. Our study may provide a promising approach to detect the vertical variations of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mover accent="true"><mrow><mi>K</mi></mrow><mo>¯</mo></mover></mrow><mrow><mi>P</mi><mi>A</mi><mi>R</mi></mrow><mrow><mi>Z</mi></mrow></msubsup></mrow></semantics></math></inline-formula> and underwater PAR distributions in the North Pacific Ocean.https://www.mdpi.com/2072-4292/15/12/3023diffuse attenuation coefficientphotosynthetically available radiationvertical variationremote sensingNorth Pacific
spellingShingle Lei Chen
Jie Zhang
Xiaoju Pan
Peng Shi
Xiaobo Zhang
Deriving the Vertical Variations in the Diffuse Attenuation Coefficient of Photosynthetically Available Radiation in the North Pacific Ocean from Remote Sensing
Remote Sensing
diffuse attenuation coefficient
photosynthetically available radiation
vertical variation
remote sensing
North Pacific
title Deriving the Vertical Variations in the Diffuse Attenuation Coefficient of Photosynthetically Available Radiation in the North Pacific Ocean from Remote Sensing
title_full Deriving the Vertical Variations in the Diffuse Attenuation Coefficient of Photosynthetically Available Radiation in the North Pacific Ocean from Remote Sensing
title_fullStr Deriving the Vertical Variations in the Diffuse Attenuation Coefficient of Photosynthetically Available Radiation in the North Pacific Ocean from Remote Sensing
title_full_unstemmed Deriving the Vertical Variations in the Diffuse Attenuation Coefficient of Photosynthetically Available Radiation in the North Pacific Ocean from Remote Sensing
title_short Deriving the Vertical Variations in the Diffuse Attenuation Coefficient of Photosynthetically Available Radiation in the North Pacific Ocean from Remote Sensing
title_sort deriving the vertical variations in the diffuse attenuation coefficient of photosynthetically available radiation in the north pacific ocean from remote sensing
topic diffuse attenuation coefficient
photosynthetically available radiation
vertical variation
remote sensing
North Pacific
url https://www.mdpi.com/2072-4292/15/12/3023
work_keys_str_mv AT leichen derivingtheverticalvariationsinthediffuseattenuationcoefficientofphotosyntheticallyavailableradiationinthenorthpacificoceanfromremotesensing
AT jiezhang derivingtheverticalvariationsinthediffuseattenuationcoefficientofphotosyntheticallyavailableradiationinthenorthpacificoceanfromremotesensing
AT xiaojupan derivingtheverticalvariationsinthediffuseattenuationcoefficientofphotosyntheticallyavailableradiationinthenorthpacificoceanfromremotesensing
AT pengshi derivingtheverticalvariationsinthediffuseattenuationcoefficientofphotosyntheticallyavailableradiationinthenorthpacificoceanfromremotesensing
AT xiaobozhang derivingtheverticalvariationsinthediffuseattenuationcoefficientofphotosyntheticallyavailableradiationinthenorthpacificoceanfromremotesensing