satellite-derived heat content in the tropical indian ocean
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Satellite-derived heat content in thetropical Indian OceanImran M. Momin a , Rashmi Sharma a & Sujit Basu aa Space Applications Centre, Atmospheric and Oceanic SciencesGroup , Ahmedabad, 380 015, Gujarat, IndiaPublished online: 06 Nov 2010.
To cite this article: Imran M. Momin , Rashmi Sharma & Sujit Basu (2011) Satellite-derivedheat content in the tropical Indian Ocean, Remote Sensing Letters, 2:4, 269-277, DOI:10.1080/01431161.2010.519001
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Satellite-derived heat content in the tropical Indian Ocean
IMRAN M. MOMIN, RASHMI SHARMA and SUJIT BASU*
Space Applications Centre, Atmospheric and Oceanic Sciences Group, Ahmedabad
380 015, Gujarat, India
(Received 18 May 2010; in final form 22 August 2010)
Upper layer heat content (HC) in the tropical Indian Ocean (TIO) extending from
40�E to 120�E and 20�S to 30�N was estimated from satellite observations of sea
surface temperature and sea level anomaly (SLA). For this estimation, a regression
relation was developed from long-period observations of subsurface temperature
profiles derived by Argo floats. It was assumed that a reduced gravity approxima-
tion is appropriate for representing the oceanic upper layer. Satellite-based HC
was computed on a monthly basis and was validated with various independent
in situ observations in the TIO. The correlation between satellite and in situ
estimates was found to be reasonably good. It was also found that signatures of
several dipole events during the study period were well reflected in the estimates.
Propagating features such as Kelvin and Rossby waves were also quite clearly
visible in the corresponding Hovmoller diagrams.
1. Introduction
In recent years, considerable effort has been devoted to the prediction of long-term
changes in global climate. The world oceans play a pivotal role in causing variations
of global climate, because of their large thermal inertia. In particular, the upper layer
of the ocean, the so-called ocean’s troposphere, is the most active one, because heat
flux exchange between the ocean and the atmosphere, a very important component ofocean–atmosphere interaction, occurs primarily in this layer. Therefore, the heat
content (HC) of the upper layer of the ocean is crucial for understanding the role of
air–sea interaction in altering the Earth’s climate. The upper layer HC can be con-
veniently defined as the amount of heat stored in a layer bounded below by an
isotherm representative of the main thermocline.
The Indian Ocean is unique because of the annual reversal of monsoon winds and
the landlocking in the north by the Asian continent. Till recently, studies of the Indian
Ocean suffered from the lack of subsurface temperature profile observations.Although the situation has improved considerably after the launch of Argo floats,
these observations are irregular in space and time. This makes spatio-temporally
regular satellite data, such as that provided by satellite altimeters, an invaluable
tool to investigate spatio-temporal variability of the HC of the upper layer of the
Indian Ocean. In the past, information on the vertical thermal structure of the upper
ocean was obtained from altimeter data combined with climatological hydrographic
data through a diagnostic model (Goni et al. 1996, Garzoli and Goni 2000, Lentini
et al. 2006) and from in situ data and sea surface height data from altimeters (Willis
*Corresponding author. Email: [email protected]
Remote Sensing LettersISSN 2150-704X print/ISSN 2150-7058 online # 2011 Taylor & Francis
http://www.tandf.co.uk/journalsDOI: 10.1080/01431161.2010.519001
Remote Sensing Letters
Vol. 2, No. 4, December 2011, 269–277
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et al. 2003). Altimeter-derived upper layer thickness has also been used to improve
typhoon intensity forecast in the western North Pacific Ocean (Pun et al. 2007).
The primary objective of this work is the estimation of upper ocean HC from
satellite data and validation of this estimate using in situ observations. A secondary
objective is to see whether the signatures of important oceanic phenomena such as theIndian Ocean dipole and propagating waves are properly reflected in the estimated
HC data.
2. Data and methodology
Weekly averaged sea level anomaly (SLA) from multi-mission altimeter data for the
period 1998–2008 were obtained from the Archiving Validation and Interpretation of
Satellite Data in Oceanography (AVISO) site (www.aviso.oceanobs.com). Multi-mission SLA is a merged product of all available satellite altimeters (Jason-1,
Topex/Poseidon, European Remote Sensing Satellite-2, Envisat and Geosat Follow-
on) and the fields are provided on 1� � 1� grid. As per information available from that
site, after acquisition, homogenization and quality checks, corrections are applied to
the altimeter product. Multi-mission cross calibration is carried out using two differ-
ent algorithms. An along-track SLA is generated for each mission. Generation of SLA
maps is carried out using optimal interpolation.
Gridded Argo data generated by Indian National Centre for Ocean InformationServices (INCOIS) for the period 2002–2008 were used in this study. The data for
2002–2007 were used for establishing a regression relation as described below, and the
data for 2008 were used for validating the relationship. The gridded Argo data were
generated by INCOIS from individual Argo observations using an objective analysis
scheme, the details of which are given by Udaya Bhaskar et al. (2007). The data are
available for 10-day intervals on a 1� � 1� grid.
The Research Moored Array for African-Asian-Australian Monsoon Analysis and
Prediction is an array of buoys designed for advancing monsoon research and fore-casting in the Indian Ocean. The array is used to study large-scale ocean–atmosphere
interaction, mixed layer dynamics, ocean circulation related to the monsoon on intra-
seasonal to decadal time scales. Data from different buoys are available at different
time periods spread over the time interval from June 2006 to November 2008.
Instruments on the moored buoys measure winds, air temperature, rainfall, relative
humidity, water temperature, salinity and ocean currents. The temperature and
salinity were used to calculate HC for the purpose of validation.
The temperature and salinity from Triangular Trans Ocean Network buoysdeployed by Japan Agency for Marine Earth Science and Technology in the eastern
Indian Ocean at 90�E, 1.5�S and 95�E, 5�S were also used for the validation of
satellite-derived HC. The data are available daily for the years 2001–2007.
The Tropical Rainfall Measuring Mission (TRMM) is a joint US–Japan Satellite
Mission to monitor the tropical region. It provides global coverage of the tropical
region (40�N–40�S). Sea surface temperature (SST) measured by the TRMM
Microwave Imager (TMI) was also used in this study. The resolution of the data is
0.25� � 0.25�, and the 3-day averaged data are available from 1998 to 2008.The satellite-derived SST and SLA were further averaged on monthly basis for their
use in this study. The altimeter-derived SLA �0(x,y,t) is the deviation of the measured
sea surface height �(x,y,t) from mean sea surface height �ðx; yÞ, which is computed
over a period of 7 years (1993–1999).
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� 0ðx; y; tÞ ¼ �ðx; y; tÞ � �ðx; yÞ (1)
In equation (1), x and y denote longitude and latitude, respectively, whereas t denotes
time.Following Goni et al. (1996), we assume that the upper ocean dynamics can reason-
ably be well reproduced by a regional reduced gravity model. In the framework of this
approximation, the SLA and climatological subsurface temperature and salinity data
are combined in the following manner to obtain an estimate of the depth of the 20�Cisotherm (D20):
D20ðx; y; tÞ ¼ �D20ðx; yÞ þg
g0ðx; yÞ �0ðx; y; tÞ (2)
Here �D20(x,y) is the mean climatological depth of the 20�C isotherm, g is the accel-
eration due to gravity and g0 is the mean climatological reduced gravity. The reason
for estimating D20 is that in the tropical oceans, 20�C isotherm is a good representa-
tive of the thermocline.
Once D20 is estimated, it is easy to compute HC up to this depth using the formula
HC x; y; tð Þ ¼ rCp
ð0
D20
T x; y; z; tð Þdz ¼ rCp Tm x; y; tð ÞD20 x; y; tð Þ (3)
where T is the temperature (�C), r is the water density, Cp is the specific heat of water
and Tm is the mean temperature of the upper layer (ULT).
Because satellites are unable to measure Tm, it has to be indirectly estimated from
satellite observations. That the SST is well correlated with upper layer temperatures iswell known and has been exploited earlier in studies related to assimilation of SST in
ocean model of the Gulf Stream region (Ezer and Mellor 1997). Quite recently it has
been found to be true in the Indian Ocean also (Ratheesh et al. 2010). It is thus
reasonable to expect that the SST would be well correlated with ULT. This is the
rationale behind the following regression
Tm x; y; tð Þ ¼ a1 x; y; tð ÞTs x; y; tð Þ þ a0 x; y; tð Þ (4)
where a0 and a1are the regression coefficients obtained by a linear regression fit to allSST and ULT calculated from Argo profiles.
Once the regression is established, one can easily calculate ULT using equation (4),
where the role of Ts is to be played by the SST measured by the TMI sensor. In this
way, the final equation for calculating the upper layer HC will be
HC x; y; tð Þ ¼ rCp a1 x; y; tð ÞTs x; y; tð Þ þ a0 x; y; tð Þ½ �D20 x; y; tð Þ (5)
3. Results
Figure 1 shows the spatial variability of the regression coefficients a1 and a0.
Figure 1(a) shows the variation of the slope a1, whereas figure 1(b) shows the variation
of the intercept a0. Large variability of the coefficients is observed near the southeast
of India and in the eastern and western equatorial Indian Ocean (EIO) because of the
propagation of coastal Kelvin waves (McCreary et al. 1993) and equatorial jet
(Wyrtki 1973), respectively. Hence, one cannot use a single value for these two
parameters in the entire domain. This is one aspect that differentiates this study
Satellite-derived heat content 271
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from earlier ones. Because the regression is between ULT and SST, it is to be expected
that the slope will be high in regions of high correlation between the two variables.These are the regions where the thermocline is relatively shallow. This is because ULT
is calculated over a layer, which is in proximity with the sea surface. One such region
where the slope is around 0.8 is the region where a thermocline ridge is very prominent
(south of equator up to 10�S and from 55�E to 75�E). Similarly a deeper thermocline
implies lesser correlation between ULT and SST, because this is largely governed by
wind stress. Accordingly, in such regions the slope is much less, for example, in the
northern Arabian Sea. In figure 1(b) the spatial distribution of the intercept is shown.
It is quite natural to expect that in the regions where the correlation between SST andULT is high the intercept will be low, and vice versa, because the major part of the
variability has been already accounted for by the slope. This is more or less the case:
for example, the intercept is 5.0 in the region where the slope is of the order of 0.6–0.8.
As noted previously, once the regression is established, it is straightforward to
compute the HC using equation (5). Accordingly, monthly HC was computed for the
period 1998–2008 using satellite-derived SST and SLA. To validate the computed
HC, the satellite-based estimates were compared with in situ data obtained from
buoys.The result of this comparison is shown as a scatter plot in figure 2. Data from these
buoys were not used in establishment of the relation and hence these data constitute
an independent validation data set. A total of 170 buoy measurements were used. The
coefficients of determination are more than 0.5 at all the locations, signifying a
correlation exceeding 0.7 everywhere. The range (minimum and maximum) of the
HC estimated from satellite data also matches with the range of buoy observations.
Table 1 shows the statistics of the comparison. We performed an F-test to evaluate the
null hypothesis that the estimated variability is not significantly different from theobserved variability. It was found that they are statistically the same at 95% con-
fidence level. To ascertain whether the two means are statistically different, a t-test
was carried out. They agree within a 95% confidence level.
Next, the Argo profiles from 2008 were used for the validation of satellite-based HC
over the entire tropical Indian Ocean (TIO). Figure 3 shows the standard deviations of
satellite-based and Argo-derived HC for this period. High variability is found near the
(a)
20°N
10°N
0°
10°S
40°E 60°E 80°E 100°E
10°S
20°N
(b)
10°N
0°
40°E 60°E 80°E 100°E
Figure 1. Spatial distribution of regression coefficients a1 (slope) and a0 (intercept): (a) a1
(dimensionless), contour interval ¼ 0.2; (b) a0 in �C, contour interval ¼ 5�C.
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Somali coast (due to upwelling), coastal Bay of Bengal (BOB), eastern EIO (EEIO)
and southern TIO in both estimates of HC. The possible reason for this high varia-
bility could be the fact that the propagation of Kelvin waves pushes the thermocline
deeper near the coastal BOB. In the EEIO, the strong equatorial jets and downwelling
Table 1. Comparison of heat content from satellite and buoy measurements.
Buoy locationNo. ofpoints
Correlation(r)
RMSE(108 J m–2)
Mean heatcontent
(1010 J m–2)
Standarddeviation of heat
content(108 J m–2)
BuoySatellite-
based BuoySatellite-
based
90�E, 12�N 12 0.88 11.3 1.32 1.44 9.80 10.1080.5�E, 1.5�N 22 0.75 16.2 1.24 1.40 17.13 15.7090�E, 1.5�S 67 0.81 9.5 1.28 1.29 16.50 15.0095�E, 5�S 70 0.73 9.9 1.25 1.22 12.60 13.9090�E, 15�N 11 0.90 7.0 1.33 1.39 9.30 10.49
RMSE, root mean square error.
(a)
R2 = 0.67
1.0
1.2
1.4
1.6
1.8
1.0 1.2 1.4 1.6 1.8
Observed HC (1010 J m–2)
Sat
ellit
e-de
rived
HC
(1010
J m
–2)
(b)R2 = 0.54
1.0 1.2 1.4 1.6 1.8
Observed HC (1010 J m–2)
1.0
1.2
1.4
1.6
1.8
Sat
ellit
e-de
rived
HC
(1010
J m
–2)
R2 = 0.57
1.0
1.2
1.4
1.6
1.8
1.0 1.2 1.4 1.6 1.8
Observed HC (1010 J m–2)
Sat
ellit
e-de
rived
HC
(1010
J m
–2)
(c)R2 = 0.78
1.0 1.2 1.4 1.6 1.8
Observed HC (1010 J m–2)
1.0
1.2
1.4
1.6
1.8
Sat
ellit
e-de
rived
HC
(1010
J m
–2)
(d)
Figure 2. Scatter plots of satellite-based and buoy-derived heat content (J m–2) for four buoylocations.
Satellite-derived heat content 273
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Kelvin waves cause mass convergence with its associated deepening of the thermocline
during the monsoon transition months (Wyrtki 1973, Reverdin 1985).
It is now well known that there is a coupled mode of variability in the Indian Ocean,
similar to the El Nino-Southern Oscillation phenomena in the Pacific. This is known
as the Indian Ocean dipole (Saji et al. 1999), which manifests itself as an anomalous
cooling in the tropical southeastern Indian Ocean (90�E–110�E, 10�S-Equator) and
an anomalous warming in the tropical western Indian Ocean (WIO; 50�E–70�E,10�S–10�N). Two strong events occurred in late 1997 and 2006. Other relatively
weaker dipoles also occurred in late 2003, 2007 and 2008. To clearly bring out the
signatures of these events in the heat budget computation, we computed the heat
content anomalies (HCAs) in the two regions, and the interannual variation of these
HCAs is displayed in figure 4(a).
The signatures of the dipole events are clearly visible in the figure, except those for
2008, which was quite weak. Probably this dipole could not be delineated in the limit
of estimation error. In figure 4(b) we show the similar HCAs, but estimated from Argoobservations beginning from 2002. It can be seen that the strong dipole event of 2006
has been picked up by the Argo observations. Regarding the mismatch in the
(a)
30°N
20°N
10°N
10°S
20°S30°E 50°E 70°E 90°E 110°E
0°
0°
(b)
20°N
30°N
10°N
10°S
20°S30°E 50°E 70°E 90°E 110°E
Figure 3. Standard deviation of (a) satellite-based and (b) Argo-derived heat content for theyears 2002–2008. The contour interval is 5 � 108 J m–2.
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magnitudes of the positive and negative peaks, this is because of the difference in the
sampling error of the two observing systems. The standard deviations of HCA in the
WIO from the satellite and Argo measurements are 9.5 � 108 J m–2 and
8.6 � 108 J m–2, respectively. The corresponding numbers for EEIO are
7.6 � 108 J m–2 and 8.0 � 108 J m–2, respectively.
It is also interesting to see whether the signatures of propagating waves such as theequatorial Kelvin waves and the off-equatorial Rossby waves are seen in the HCAs.
Accordingly figure 5 shows three Hovmoller diagrams along the equator and along
10�N and 10�S. The propagation of equatorial Kelvin waves and off-equatorial
Rossby waves is clearly visible in the diagrams. These waves are known features of
the Indian Ocean circulation and have been noted previously in studies focused on the
propagation of SLAs simulated by numerical model and observed by satellite alti-
meter (Perigaud and Delecluse 1993, Basu et al. 2000). The phase speeds were
estimated for these waves. The values are 1.17 m s–1 for the Kelvin wave, 15 cm s–1
(a)
–0.4
–0.2
0.0
0.2
0.4
Year
HC
A (
1010
J m
–2)
WIOSEIO
1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008
(b)
HC
A (
1010
J m
–2)
–0.4
–0.2
0.0
0.2
0.4
Year1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008
WIOSEIO
Figure 4. Time series of the heat content anomaly (HCA, in J m–2) in the western andsoutheastern Indian Ocean depicting inter-annual variation. In the figure WIO and SEIOstand for western Indian Ocean and southeastern Indian Ocean, respectively. (a) Satellite-derived and (b) estimated from Argo.
Satellite-derived heat content 275
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for the Rossby wave at 10�N and 23 cm s–1 for the Rossby wave at 10�S. The values
compare reasonably well with those reported earlier (Basu et al. 2000) whereas the
speeds are similar to those from altimeter measurements (1.3 m s–1, 17 cm s–1 and
25 cm s–1, respectively).
4. Conclusions
In this study, satellite-derived products of SST and SLA were used to compute
monthly averaged HC of the upper layers of the TIO. The regression relation used
for this computation was derived from long-period observations of subsurface tem-
perature profiles measured by Argo floats. Satellite-derived estimates were validated
by comparing these estimates with similar estimates computed from various in situ
observations in the TIO. Tests were performed on the means and variances to
ascertain whether these quantities derived from satellite and in situ observations are
statistically similar. The satellite-derived estimates were more rigorously validated by
comparing with an independent set of Argo observations. The satellite-based HC
estimates were found to be well correlated with in situ observations. Signatures of the
known strong dipole events were reflected in the heat budget estimates. Finally, the
well-known propagating features of the Indian Ocean circulation such as the equa-
torial Kelvin waves and the off-equatorial Rossby waves were found to be clearlyvisible in the Hovmoller diagrams.
Acknowledgements
Authors are grateful to Dr. R.R. Navalgund, Director, Space Applications Centre,
Dr. J.S. Parihar, Deputy Director, Earth, Ocean, Atmosphere, Planetary Sciences and
Applications Area, and Dr. P.K. Pal, Group Director, Atmospheric and Oceanic
Sciences Group, for constant encouragement. TMI SST and SLA products were
2008
(a) (b) (c)1.8
1.6
1.4
1.2
1
0.8
0.6
2.4
2
1.2
1.6
0.8
0.4
2.2
1
1.4
1.8
0.6
0.2
2006
2004
2002
2000
1998
2008
2006
2004
2002
2000
1998
2008
2006
2004
2002
2000
1998
40°E 50°E 60°E 70°E 80°E 90°E 100°E 40°E 50°E 60°E 70°E 80°E 90°E 100°E 40°E 50°E 60°E 70°E 80°E 90°E 100°E
Figure 5. Hovmoller (time–longitude) diagrams of heat content anomaly in the tropicalIndian Ocean depicting wave propagation. The legend shows the heat content anomaly in108 J m–2. (a) Equator (b) 10� N (c) 10� S.
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obtained from ftp.ssmi.com and AVISO websites, respectively. Argo data used in this
study were generously provided by the Indian National Centre for Ocean Information
Services, Hyderabad, India.
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