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© IWA Publishing 2015 Hydrology Research
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46.5
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Monitoring of regional lake water clarity using Landsat
imagery
Matias Bonansea, Raquel Bazán, Claudia Ledesma, Claudia Rodriguez
and Lucio Pinotti
ABSTRACT
The application of remote sensing technology to water quality monitoring has special significance for
lake management at regional scale. Water clarity expressed in terms of Secchi disk transparency
(SDT) is a highly useful indicator of trophic status and ecosystem health. In this study, we related
Landsat TM and ETMþ data with ground observations to develop a model for the estimation of SDT
which can be used as a standardized procedure for regional-scale lake clarity assessment in the
central region of Argentina. Samples were taken from two reservoirs of the region. Pearson
correlation coefficients and step-wise multiple regression analysis were used to evaluate correlation
between Landsat bands and measured SDT. Results suggested that Landsat band 3 plus the ratio 1/3
was a consistent and reliable predictor of SDT (R 2 ¼ 0.80). The algorithm was validated (R 2 ¼ 0.81)
and applied to the November 10, 2010 ETMþ image obtaining a map that characterized water clarity
of reservoirs within the study area. The procedure presented here could become a low cost
measurement tool for water management authorities and decision-makers, obtaining simpler and
practical results for regional water clarity monitoring.
Key words
| algorithm, Landsat, remote sensing, reservoir, Secchi disk transparency, water clarity
Matias Bonansea (corresponding author)
Consejo Nacional de Investigaciones Científicas y
Técnicas (CONICET), Departamento de Estudios
Básicos y Agropecuarios, Facultad de
Agronomía y Veterinaria (FAyV),
Universidad Nacional de Río Cuarto (UNRC),
Ruta Nacional 36 Km 601, (5800) Río Cuarto,
Córdoba, Argentina
E-mail:
[email protected]
Raquel Bazán
Departamento de Ingeniería Química y Aplicada,
Facultad de Ciencias Exactas Físicas y Naturales
(FCEFyN),
Universidad Nacional de Córdoba (UNC),
Juan Filloy s/n, Ciudad Universitaria,
(5000) Córdoba, Argentina
and
Instituto Superior de Estudios Ambientales (ISEAUNC), Secretaria de Ciencia y Tecnología (UNC),
Juan Filloy s/n, Ciudad Universitaria,
(5000) Córdoba, Argentina
Claudia Ledesma
Claudia Rodriguez
Departamento Ciencias Básicas, FAyV,
UNRC, Ruta Nacional 36 Km 601, (5800) Río Cuarto,
Córdoba, Argentina
Lucio Pinotti
CONICET – Departamento de Geología,
UNRC, Ruta Nacional 36 Km 601, (5800) Río Cuarto,
Córdoba, Argentina
INTRODUCTION
Decision-makers are demanding new tools for regional
areas, which create spatially irregular, non-random samples.
monitoring and assessment of water quality. The conven-
Many lakes are rarely or never monitored, so an accurate
tional measurements of regional assessment are logistically
assessment of their status and change over time cannot be
challenging and expensive to perform regularly due to
made. Satellite remote sensing has been shown to be a
cost, lake accessibility and the number of water bodies
powerful supportive tool for regional water quality assess-
requiring repeated sampling (McCullough et al. b). As
ment, reducing costs and allowing monitoring to occur
a result, sample sizes must be limited and usually cannot
simultaneously across an extensive area (Trivero et al.
encompass each type of water body present in a region;
; Larsen et al. ; Doña et al. ).
therefore, the status of the water system at a regional scale
Among several satellite systems that have been used
can be difficult to represent (Zhao et al. ). According
for water quality monitoring, the Landsat system, which
to McCullough et al. (a), these restrictions lead to field
provides an unparalleled record of the status and
assessments concentrated in developed, easily accessible
dynamics of the Earth’s surface since 1972, is particularly
doi: 10.2166/nh.2014.211
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useful for assessment of inland lakes (Kloiber et al. b;
in models. Although most of the studies on regional lake
Matthews ; Wulder et al. ; Chao Rodríguez et al.
water clarity estimation by remote sensing were carried
). Most techniques for remote sensing of water quality
out for the northern hemisphere, little has been done to
construct reliable empirical relationships between Landsat
develop appropriate regional assessment of water clarity
data and ground observations of water quality parameters,
in the southern hemisphere.
including chlorophyll and phycocyanin concentrations
The objective of this paper was to develop an algor-
(Vincent et al. ; Tebbs et al. ), water clarity
ithm to estimate water clarity which can be used as a
expressed in terms of Secchi disk transparency (SDT)
standardized procedure for regional-scale lake clarity
(Domínguez Gómez et al. ; Zhao et al. ; McCul-
assessment in the central region of Argentina. Thus, we
lough et al. a), total suspended sediments (Kulkarni
were able to obtain a single standardized method with
; Bonansea & Fernandez ), among others. In this
constant coefficient values that could be used by water
study, we focus on SDT estimation due to its simplicity
management authorities and decision-makers to achieve
and relatively low cost. Besides, this parameter, which is
information for lakes not sampled, allowing an easier
widely used and a common metric of lake water quality,
comparison of water clarity from different lakes at a
has strong ecological and economic implications, being a
regional scale.
highly useful indicator of trophic status and ecosystem
health (Sriwongsitanon et al. ; Zhao et al. ; McCullough et al. b; Chao Rodríguez et al. ). According
METHODOLOGY
to Domínguez Gómez et al. (), the assessment of
water clarity has a crucial impact on water quality moni-
Study area
toring because it shows, in a global way, all the
components that can be found in water and the many
The western region of Córdoba province, located in the cen-
interactions existing among them.
tral region of Argentina, is characterized by a mountainous
Most studies related to water clarity estimation by
system called Sierras Pampeanas which encompasses
Landsat imagery have focused on generating empirical
approximately a 500 km long and 150 km wide area. This
models for the lake or reservoir where samples were
area presents nine moderately eutrophic reservoirs greater
taken (Domínguez Gómez et al. ; Giardino et al.
than 0.3 km2 (Figure 1) which were built between 1930
; Guan et al. ). However, there has been increas-
and 1950 for multiple purposes such as water supply,
ing focus on regional-scale assessment of water quality
power generation, flood control, irrigation, tourism and rec-
and few monitoring programs exist for this purpose. Pull-
reational activities (Bazán et al. ; Mancini et al. ;
iainen et al. () suggest that the estimation of water
Ledesma et al. ).
quality from remote sensing data for numerous lakes
As part of a monitoring program, since the 1990s sev-
could be achieved using ground observation data for
eral physical, chemical and biological properties of two
only a few representative lakes from the region. Kloiber
multipurpose reservoirs of the area (Río Tercero and Los
et al. (b) and Olmanson et al. () described a prac-
Molinos reservoirs) have been surveyed. Río Tercero reser-
tical and efficient procedure for Landsat imagery for
voir (32 110 S, 64 230 W) which is the largest artificial
routine, regional-scale assessments of lakes for water
reservoir in the province, has a surface area of 46 km2, a
clarity, and Kloiber et al. (a) used this approach to
volume of 733 hm3 and maximum and mean depths of
measure spatial patterns and temporal trends in a large
46.5 and 12.2 m, respectively. In 1986, a nuclear power
number of lakes. McCullough et al. (a) have shown
plant (CNE: 600 MWa) was installed. Water for cooling
that Landsat TM can be used to predict regional water
the nuclear reactor is taken from the middle section of
clarity in Maine lakes located in the northeastern United
the reservoir and is returned to the western basin by a
W
W
States, and those predictions are more accurate when
5 km long open-sky channel (Bonansea et al. ). Los
average depth and watershed wetland area are included
Molinos reservoir (31 490 S, 64 320 W), which is used to
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W
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Figure 1
M. Bonansea et al.
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Monitoring of regional water clarity by Landsat
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Principal reservoirs of the western region of Córdoba province and position of sampling sites in Los Molinos and Río Tercero reservoir.
supply drinking water to Córdoba city (with 1.4 million
2
resolution is 30 m for the visible through middle infrared
inhabitants), has an area of 21.1 km , an average depth of
channels and 120 m for the thermal infrared band (Loveland
16.3 m and a maximum volume of 399 hm3 (Bazán et al.
& Dwyer ). The ETMþ sensor has a similar suite of
).
bands as TM, but with a 60 m thermal band and an
Water clarity was estimated in the field by measuring
additional 15 m panchromatic band. Both sensors present
SDT using a standard 20 cm diameter Secchi disk at
a revisit time of 16 days and a radiometric resolution of
nine sampling sites in Río Tercero and five sites in Los
256 digital numbers.
Molinos reservoir (Figure 1). Coordinates of sample sites
The criteria for image selection were: existing in situ
were recorded using a Global Positioning System (GPS)
data of both reservoirs in ±4 days to the satellite passes
device.
(time window) obtaining reasonable results for empirical
relationships between SDT and Landsat imagery; no
Satellite data
heavy rainfall prior to the image data to minimize the
effects of changes in water surfaces that disturb the esti-
We used images from Landsat TM and Landsat ETMþ
mates; 0% haze or cloud cover when possible. To detect
(Path: 229; Row: 82) downloaded from the USGS Global
haze and cloud cover, which affect spectral-radiometric
Visualization
TM
responses and cause erroneous results, an RGB band
sensor is equipped with multi-spectral scanning equipment,
combination (1,6,6) was used (Olmanson et al. ).
which operates on seven spectral bands located between
The selected criteria are in agreement with different
the visible and infrared regions of the spectrum. The spatial
authors (Kloiber et al. b; Sriwongsitanon et al. ;
Viewer
(http://glovis.usgs.gov).
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Tebbs et al. ). Thus, from the pool of suitable images,
Geometric correction was applied to each scene,
we selected one Landsat TM image and two ETMþ
resulting in a root mean square error (RMSE) of pos-
images (Table 1).
itional accuracy of less than 0.5 pixel, guaranteeing a
precise geometric match between images. Since May
2003, ETMþ images have a permanent failure known as
Image pre-processing
Scan Line Corrector (SLC): off, characterized by wedgeshaped gaps (Chen et al. ). Using a methodology
The electromagnetic radiation signals collected by satellites
adapted from the SLC Gap-Filled Products, Phase One
in the solar spectrum are modified by scattering and absorp-
Methodology article (USGS ), SLC failure was cor-
tion by gases and aerosols while traveling through the
rected predicting the best closest value of the missing
atmosphere from the Earth’s surface to the sensor (Song
pixels. To delineate the lake surface masks, producing
et al. ). Atmospheric corrections to satellite data are
‘water-only’ images and isolating anomalously pixels that
therefore important for correcting these effects, so that infor-
do not belong to the reservoirs, the normalized difference
mation from multitemporal data set with variable aerosol
water index (NDWI) algorithm proposed by McFeeters
loading can be sensibly compared. Using the Second Simu-
() was applied. According to Ji et al. () and
lation of the Satellite Signal in the Solar Spectrum (6S)
Alcântara et al. (), the NDWI can be used successfully
(Vermote et al. ), atmospheric correction was carried
in delineating water bodies and monitoring the water area
out.
changes.
The importance of applying the 6S model to improve
the estimates of water lake clarity was described in Sri-
Algorithm development
wongsitanon et al. (). These authors suggest that the
6S model can remove the additive effects provided by
As the locations of sampling points were georeferenced, it
atmospheric rayleigh and aerosol scattering which influ-
was possible to compare matchups between field data
ence the visible Landsat bands (band 1–3). On the other
and corresponding Landsat reflectance values. To deter-
hand, the corrected reflectance values of the near infrared
mine which spectral band or band ratio was the best
and infrared bands (band 4–7) tend to be higher than the
predictor of SDT, Pearson correlation coefficients and
uncorrected reflectance values. This is because the near
backward step-wise multiple regression analysis were car-
infrared and middle infrared wavelengths are affected by
ried out between in situ SDT (dependent variable) versus
atmospheric absorption while the influence of air mol-
atmospherically corrected reflectance values of Landsat
ecules and aerosol particle scattering are negligible in
bands or band ratios (independent variables). Applying
these ranges. Since the 6S model can remove these effects,
the Pearson correlation analysis, we assume that a high
reflectance values within these bands were then increased
level of correlation between variables is implied by a cor-
(Sharma et al. ; Sriwongsitanon et al. ; Homem
relation coefficient (r) greater than 0.5 in absolute terms
Antunes et al. ).
(Gupta ). The backward step-wise multiple regression
analysis was performed using the thresholds for factor
Table 1
|
Landsat data set and sampling date in Río Tercero and Los Molinos reservoirs
removal with a significance level of p-value more than
0.05. If the p-value is less than the threshold, it means
Río Tercero reservoir
Los Molinos reservoir
Time
relationship is then reliable to be used for prediction (Sriwongsitanon et al. ). Thus, we could identify the
Acquisition
Landsat
Sampling
window
Sampling
window
image date
sensor
date
(days)
date
(days)
4
09-28-2006 ETM þ
09-24-2006
10-01-2006 3
12-09-2006 TM
12-09-2006 0
12-11-2006 2
11-10-2010 ETM þ
11-10-2010 0
11-10-2010 0
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that the null hypothesis is rejected and the regression
Time
spectral band or band ratio most correlated with in situ
SDT, which were used to generate a model to estimate
water clarity for all lakes within the region. In this
case, the multiple linear regression model used was
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defined as
Yi ¼ β 0 þ β 1 X1 þ β 2 X2 þ β v Xv þ ε
(1)
where Yi refers to the response of the variable SDT, Xn
are the explanatory variables of each Landsat spectral
bands, βn are the regression coefficients, and ε is the
random error.
Simple regression analysis was made to evaluate the correlation between estimated versus observed SDT data. The
RMSE of predicted SDT, which gives an estimate of the
Figure 2
|
Pearson correlation coefficients between SDT versus Landsat spectral bands
and band ratios. Asterisks represent the spectral bands retained by the stepwise multiple regression analysis (p < 0.05).
error associated with the estimations (Matthews et al.
), was calculated according to
sffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
Pn
XÞ2
i¼1 ðXi
RMSE ¼
n
), showed a low association with measured SDT
(r ¼ 0.39). Landsat band 2 is centred on an algal reflectance peak (Brezonik et al. ; Domínguez Gómez
(2)
et al. ). This spectral band, which was widely used
for estimating chlorophyll-a concentration (Domínguez
where Xi and X are the in situ and satellite-derived SDT and
Gómez et al. ; Kulkarni ), showed a low relation
n is the sampling size.
with measured SDT (r ¼ 0.39). A low negative associ-
Finally, as a demonstration of the real potential of
ation was found between SDT and band 4 (r ¼ 0.47);
remote sensing, the validated algorithm was applied to the
this could be explained because absorbance by water
pre-processed November 10, 2010 ETMþ image, obtaining
increases sharply in this band (Brezonik et al. ).
the spatial distribution of simulated errors, calculated as
There was no association between measured SDT and
the difference between simulated and observed SDT data,
Landsat bands 5 and 7 (r ¼ 0.02 and
0.10, respect-
and a map that characterizes water clarity of reservoirs in
ively). Sriwongsitanon et al. () suggest that in the
the central region of Argentina.
infrared regions (band 5 and 7), water increasingly
absorbs the light making it darker so these bands are
useful for vegetation and soil moisture studies and for discriminating between rock and mineral types. Therefore,
RESULTS AND DISCUSSION
we have not analyzed the band ratios of these bands.
Estimation of water clarity
(band 6) was not used in the analysis because this band,
The thermal infrared band of TM and ETMþ sensors
which is based on the reflective properties of the Earth’s
Remote sensing of water quality parameters is dependent
surface in the short-wave part of the electromagnetic spec-
upon how parameter variations alter the optical proper-
trum, is used to estimate surface temperature (Giardino
ties of the water column (Pavelsky & Smith ).
et al. ; Chao Rodríguez et al. ). Our results
Figure 2 shows the results of Pearson correlation coeffi-
demonstrated that Landsat band 3 (ρ3) and band ratio
cient and step-wise regression analyses between SDT
1/3 (ρ1/ρ3) can be used to investigate the most suitable
versus Landsat spectral bands. According to Brezonik
relationships for SDT monitoring as evidenced by high
et al. (), suspended particles cause and increase in
Pearson correlation coefficients (r ¼ 0.78 and 0.79,
the measured response for Landsat bands 1–4. Landsat
respectively). These results were confirmed in the step-
band 1, which can be used to measure the irradiance
wise multiple regression analysis where only band 3 and
attenuation due to the absorption of aquatic humus and
ratio band 1/3 were retained (R 2 ¼ 0.80). According to
phytoplankton pigment concentration (Giardino et al.
Matthews (), the negative correlation with band 3
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may be explained by the direct positive correlation
combinations of Landsat bands 1 to 4 (Doña et al. ).
between reflectance in the red and gross particulate load
Some studies use Landsat band 2 (green band) or 4 (NIR
inducing
particulate
scattering.
Therefore,
as
SDT
band) to estimate SDT (Lathrop & Lillesand , ;
Doña et al. ), although there are few recent examples
decreases, brightness in the red usually increases.
Thus, the estimated response between in situ SDT and
of this (Matthews ). Domínguez Gómez et al. (),
the atmospherically corrected reflectance values in ρ3 and
studying the trophic status of lakes located to the south of
2
ρ1/ρ3, was finally formulated as (R ¼ 0.80)
Madrid, Spain, found that SDT, which is affected by phytoplankton and total suspended solids concentration, could be
b ¼ 3:22
SDT
1:66ρ3 þ 0:64ρ1 =ρ3
(3)
The 95% confidence intervals for the parameters of the
model (Equation (1)) were calculated as 2.35 < β0 < 4.09;
2.32 < β1 < 1.00; and 0.41 < β2 < 0.88.
Values of estimated and observed SDT were correlated
applying a simple regression model. The good fit between
observed and estimated SDT indicated the high predictive
capacity of this model (R 2 ¼ 0.81). The error associated
with the estimations (RMSE ¼ 0.64 m) was also reasonable
and lower than the RMSE in SDT measured in McCullough
et al. (a, b). Figure 3 also confirms the robustness of
this algorithm as giving a good agreement between the gradient and intercept of the regression line. Therefore, the
methodology used was considered to be adequate to study
water clarity assessment in different water bodies of the
region.
According to Matthews (), there are a large number
of studies using Landsat to retrieve SDT, and most of these
use linear regressions of single bands or band ratios. Different studies suggest that SDT can be estimated from different
associated with Landsat band 2, which shows the highest
light penetration. However, in our study, Landsat band 3
plus the ratio 1/3 provided strong predictive relationship
with SDT in reservoirs of Córdoba province. Several investigators had success with similar relationship. The same band
combination was used by Lavery et al. () studying an
estuarine system in western Australia. Hellweger et al.
() found that TM band 3 provided a strong relationship
to SDT. McCollough et al. (a) used TM bands 1 and 3 to
predict SDT for Maine lakes, United States. According to
Matthews (), the ratio between TM bands 1 and 3 is particularly common to estimate lake water clarity. Lathrop
() and Cox et al. () suggest that ratio 1/3 is a
strong predictor of SDT. Kloiber et al. (b) and Brezonik
et al. () used Landsat band 1 plus ratio 1/3 to predict
SDT with high accuracy. Similar results were found by
Olmanson et al. () studying a series of lakes in Minnesota, United States and Zhao et al. () in Taihu lake,
China.
Map generation
The analysis of the spatial distribution of simulation errors
of the November 10, 2010 ETMþ image indicated that the
central region of the reservoirs showed a lower difference
between simulated and observed data (Figure 4). Both reservoirs showed that higher simulation errors, which were
located near the shores and tributaries, could be related
with the effect of the bottom or with tributaries inflow
which generate an important change in SDT (Bonansea &
Fernandez ). Although the method lost accuracy, the
trend curve continues to be coherent.
Although the validated algorithm was based on ground
observations from only two reservoirs of the region, we
used it to estimate SDT for all lakes within the study area.
Figure 3
|
Scatter plot of Landsat-estimated and observed SDT with 1:1 fit line.
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This is in agreement with McCullough et al. (a) who
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Figure 4
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Spatial distribution of simulated errors and scatter plot of Landsat-estimated versus observed SDT from November, 10 2010 ETMþ image.
demonstrated that remote sensing is useful in regions con-
rainfall, as the case of this date. Dividing the reservoirs
taining a large number of lakes that are cost prohibitive to
into classes based on 1.5 m SDT intervals, we found that
monitor regularly using traditional field methods. Thus, we
the most common clarity class is 3.0 to 4.5 m. Mean water
obtained a complete regional spatial sampling of water
clarity remained stable between the reservoirs, with the
clarity, allowing the mapping and analysis of spatial pat-
exception of Arroyo Corto.
terns. Figure 5 shows the spatial distribution of SDT in
Córdoba reservoirs applying the validated algorithm to the
Limitations
pre-processed November 10, 2010 ETMþ image. Satellite
estimated SDT ranged from <0.5 to about 6.7 m, with a
Landsat sensors are a powerful tool that can provide sys-
mean value of 3.5 m. Lower SDT values were registered in
tematic and periodic information of water clarity in
San Roque reservoir, coinciding with Amé et al. ()
reservoirs. However, there are limitations to monitoring
and Galanti et al. (), who suggest that this reservoir is
water quality with Landsat imagery. Over the past decade,
classified as eutrophic to hypereutrophic with elevated con-
TM and ETMþ imagery availability decreased over time
centrations of nutrients. Lower SDT were also registered in
due to different problems or anomalies (Wulder et al. ;
Arroyo Corto reservoir whose waters are pumped to Cerro
Marx & Loboda ). The deteriorated image quality result-
Pelado reservoir and reused to generate energy by the
ing from SLC failure, which was mentioned before, has
Cerro Pelado Hydroelectric Complex in times of low
become a major obstacle for Landsat 7 data applications
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Landsat sensors. Thus, other satellite remote sensors, such
as SPOT, ASTER, MODIS, MERIS, may be useful alternatives for lake water quality (McCullough et al. b;
Chawira et al. ). However, a careful comparison of
remote sensing reflectance data between sensors would be
required beforehand and specific user needs should guide
the selection of alternate data source.
CONCLUSIONS
Remote sensing provides suitable information concerning
water quality and aquatic systems management. In this study,
we demonstrated that water clarity of Córdoba reservoirs can
be estimated by Landsat imagery. Pearson correlation coefficients and step-wise multiple regression analyses were used to
investigate the relationship between SDT versus Landsat
bands and band ratios. Band 3 and the ratio 1/3 proved to be
consistent predictors of water clarity. The obtained algorithm
was used as a standardized procedure for regional-scale lake
Figure 5
|
Estimated water clarity map obtained from November, 10 2010 ETMþ image.
clarity assessment in the central region of Argentina.
Rather than using regressions equations where the independent variables and coefficients are different for each
(Chen et al. ). Since 2005, Landsat 5 has had problems
Landsat image, we examined the feasibility of using a consist-
with its solar array drive which has affected data availability
ent water clarity equation form to relate ground observation
(Wulder et al. ) and in mid-2013 this satellite was offi-
and satellite data. Use of a consistent equation form is prefer-
cially decommissioned. However, Landsat 5 is the longest-
able because it allows for easier comparison of the results
operating Earth-observing satellite mission in history, trans-
from different images. Thus, the procedure presented here
mitting over 2.5 million images of land surface conditions
could become an independent, low additional training and
around the world and resulting in a unique, long-term, sys-
low cost measurement tool for water management authorities
tematic collection of moderate resolution imagery (Wulder
and decision-makers, obtaining simpler and practical results
et al. ). As we have included a TM image, we could per-
for regional water clarity monitoring. However, the
form a retrospective analysis of water clarity back to the
implementation and continuation of field-based reservoir
early 1980s, since Landsat 5 was launched, and surface
water quality monitoring in Córdoba reservoirs is essential
data were obtained by TM sensor.
for better calibration and validation of future remote clarity
The scope of our study may be expanded with the
estimation models. Finally, the inclusion of the new LDCM
inclusion of the new Landsat 8 LDCM which was launched
or other potential satellite sensors (e.g. SPOT, ASTER,
on January 2013 and is the follow-on mission to Landsat 7,
MODIS, and MERIS) could be useful to extend our study.
presenting a higher imaging capacity than previous Landsat
satellites (Loveland & Dwyer ; Wulder et al. ).
Although there are no other missions analogous to Landsat
ACKNOWLEDGEMENTS
with global observation capabilities or accumulated global
archives, Wulder et al. () suggest that several programs
The authors thank the editor and reviewers for their helpful
and sensors are identified as having the potential to emulate
comments on this manuscript. This work was supported by
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Monitoring of regional water clarity by Landsat
SECyT-UNRC (Secretaría de Ciencia y Técnica, UNRC) and
SECyT-UNC. Additional financial support was provided by
CONICET
(Consejo
Nacional
de
Investigaciones
Científicas y Técnicas).
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First received 13 June 2014; accepted in revised form 15 August 2014. Available online 20 September 2014
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