Remote Sensing Letters
Vol. 3, No. 4, July 2012, 335–342
Data-driven correction for light attenuation in shallow waters
MARVIN WASHINGTON†, PHILEMON KIRUI‡,
HYUN JUNG CHO*‡ and CELESTIN WAFO-SOH†
†Department of Mathematics, Jackson State University,
Jackson, MS 39217, USA
‡Department of Biology, Jackson State University,
Jackson, MS 39217, USA
(Received 18 February 2011; in final form 13 June 2011)
Application of remote sensing to aquatic habitats is generally complex, due to the
presence of optically active components that absorb or scatter light. According
to the Beer–Lambert law, as electromagnetic energy travels through a medium,
it is attenuated at an exponential rate determined by the physical and chemical
properties of the medium. Determination of attenuation coefficients is complex
for optically shallow inland and coastal waters due to bottom reflection and/or
multi-path scattering. To better understand light attenuation in shallow waters,
mathematical relationships between water depth and vertical attenuation coeffi-
cient (K
d
) were derived using experimental spectral data (400–900 nm). The model
was used to estimate K
d
values at water depths that were beyond and in between the
experimentally measured points (5–60 cm). The depth- and wavelength-dependent
K
d
values were used to correct the measured spectral reflectance for the corre-
sponding light attenuation to restore the bottom reflectance signals. After the
correction, the spectral reflectance patterns measured above submerged aquatic
plants appeared to include a restored signal from vegetation especially in the
near-infrared (NIR) region. Comparison between the modelled spectra and the
empirically measured spectra suggest that the proposed approach produced an
effective model for light attenuation in optically shallow waters.
1. Introduction
Application of remote sensing to aquatic habitats is generally complex due to the pres-
ence of optically active components that absorb or scatter light. According to the
Beer–Lambert law (Bhutiani et al. 2009), as incident electromagnetic energy travels
through a medium (e.g. a water column), it is attenuated at an exponential rate deter-
mined by the physical and chemical properties of molecules in the medium that scatter
and absorb the energy. The attenuation coefficient (K
d
) is the result of both absorption
and scattering coefficients, where light is lost due to the combined effects of absorp-
tion and scattering in an attenuating medium (Downing 2008). Both absorption and
scattering are wavelength-dependent in pure water as short-wavelength energy is more
prone to scattering and absorption increases with wavelength. In addition, the amount
*Corresponding author. Email: hyun_jung.cho@jsums.edu
Remote Sensing Letters
ISSN 2150-704X print/ISSN 2150-7058 online © 2012 Taylor & Francis
http://www.tandf.co.uk/journals
DOI: 10.1080/01431161.2011.597791