THE INFLUENCE OF THE MADDEN AND JULIAN OSCILLATION ON OCEAN
SURFACE HEAT FLUXES
AND VERY HIGH SEA SURFACE TEMPERATURE VARIABILITY IN THE WARM POOL REGION
Charles Jones (1) Duane E. Waliser (2) Catherine Gautier (1)
(1) Institute for Computational Earth System Science (ICESS) University
of California, Santa Barbara,, CA
(2) Institute for Terrestrial and Planetary Atmospheres
State University of New York Stony Brook, NY
1. INTRODUCTION
On intraseasonal time scales (30-60 days), the Madden and Julian Oscillation
(MJO) is the primary mode of low-frequency variability in the tropical atmosphere
(Madden and Julian, 1994). The MJO manifests itself as a slow eastward propagation
of atmospheric disturbances with maximum amplitudes in the eastern hemisphere
(Hendon and Salby, 1994, hereafter HS94). Since its discovery by Madden
and Julian (1971) over two decades ago, the MJO has continued to be a topic
of significant interest due to the wide range of phenomena it interacts
with.
In addition to involving pronounced variations in the upper and lower troposphere,
the MJO signature is also detected near the surface and in the upper ocean
(Kessler et al. 1995; Jones and Weare, 1996; and references therein). Indeed,
since the MJO is characterized by time scales long enough to interact with
the upper ocean, the MJO has been found to be strongly linked to sea surface
temperature (SST) variations in the Indian and Pacific Oceans. Although
the previous studies have provided some insight on the atmosphere-ocean
coupling on intraseasonal time scales, our knowledge of how the MJO modifies
SST in the Indian and Pacific Oceans, how it may be related to the onset
of El Niño, and how SST variations feedback into the oscillation
is still very incomplete.
The objective of this study, which summarizes the results described in
Jones et al. (1996), is to examine the following question: what are the
observed spatial patterns of surface heat fluxes anomalies and SST during
the life cycle of the MJO? Although this topic has been sparsely addressed
in previous observational studies (see Jones and Weare, 1996), our aim is
to provide an integrated view of the modifications that occur in the surface
heat fluxes and SST during the life cycle of the MJO. This is done using
two types of observational analyses. The first is a statistical description
of the time-lagged covariability between the phase of the MJO, the surface
heat flux and the SST. The second is an analysis of the relationship between
the MJO and specific SST events, in this case, the occurrence and decay
of large-scale regions of very high SST.
2. DATA
In this study, we use the outgoing longwave radiation (OLR) data set which
has been frequently used as a proxy for large-scale tropical convective
activity (Waliser et al., 1993). In order to filter high-frequency variations,
pentads are applied to the OLR, as well as all subsequently discussed fields.
The surface energy balance over the ocean's surface is largely determined
by variations in the surface fluxes of net shortwave radiation and latent
heat. The net surface shortwave radiation flux (SW) is obtained from the
method developed by Gautier and Landsfeld (1996), which uses input parameters
derived from the International Satellite Cloud Climatology Project (ISCCP)
(Rossow et al., 1991). Pentads of SW with spatial resolution of 2.5°x2.5°
latitude/longitude are derived for the period 1-5 January 1985 through 26-30
April 1991 (total of 462 pentads), constrained in length by the availability
of ISCCP data.
Surface latent heat flux (E) is estimated with European Centre for Medium-Range
Weather Forecast (ECMWF) surface analyses, which provide surface pressure
(Ps), surface wind speeds (Vs) at 10 m height, sea surface temperature (SST),
air temperature (Ta), and dew point temperature (Td) at 2 m height. Daily
averages of E are derived from the bulk formula and the similarity theory
model developed by Liu et al. (1979) with input parameters Ps, Vs, SST,
Ta, and Td. Pentads of E are then computed for the period 1-5 January 1985
through 26-31 December 1994 (total of 730 pentads). The estimation of E
with ECMWF surface analyses has been shown to exhibit significant spectral
variations on 30-60 days and be consistent with variations in the large-scale
circulation associated with the MJO (Jones and Weare, 1996, hereafter JW96).
The surface energy balance is approximated by Q = SW - E. Since the available
data for SW and E do not completely overlap in time, pentads of Q for the
period 1-5 January 1985 through 26-30 April 1991 (total of 462 pentads)
are used. Intraseasonal variations in SST are investigated using the ECMWF
SST analysis. Pentads from 1-5 January 1985 through 26-31 1994 (total of
730 pentads) are used.
3. RESULTS
3.1 Surface heat flux variations during the MJO life cycle
In order to resolve low-frequency variations associated with the MJO, time
filtering is first applied to the fields of OLR, SW, E, Q, SST, and d(SST)/dt
for the period 1-5 January 1985 through 26-30 April 1991 (total of 462 pentads).
Since the atmospheric (40-50 days) and the oceanic (60-75 days) intraseasonal
oscillations are offset, anomalous fields are obtained by applying a band-pass
Lanczos filter with frequency response of 0.5 at 0.2 pentads-1 (25 days)
and 0.0385 pentad-1 (130 days), which therefore adequately captures both
oscillations.
Following the practice of many previous studies (HS94, JW96), we describe
the processes of interest, in our case the variability of the anomalous
surface heat fluxes and SST, in relation to the life cycle of convective
(i.e., OLR) anomalies. To this end, we specify a site in the Indian Ocean
(5° S-5° N; 80° E-90° E) from which the OLR reference
time series is taken (hereafter OLRRTS). This reference site coincides with
the one used by HS94, and it has been noted to exhibit the largest OLR signal
associated with the MJO. The spatial and temporal evolution of the MJO is
then investigated by computing lag correlation patterns between the reference
time series and the anomalous fields (OLR, SW, E, Q, SST). For convenience,
we employ the same time lags used in the composite study of HS94, and hence
our results can complement that study and provide an integrated view of
the variations in convection, tropospheric large-scale circulation, surface
heat fluxes and SST during the life cycle of the MJO.
The eastward propagation of OLR anomalies over the Indian and western Pacific
(not shown) is in good agreement with HS94, despite differences in the time
period analyzed and methodology. As discussed above, the MJO involves pronounced
variations in convection and large-scale circulation which significantly
modify the surface net shortwave radiation and latent heat fluxes. These
variations on the other hand strongly affect the difference between SW and
E, an estimate for the surface energy balance, as it is shown in the lag
correlation patterns between OLRRTS and Q anomalies (Fig. 1). Regions of
positive correlations indicate that enhanced convection in the reference
site (negative OLR anomalies) is correlated with decreased surface heat
fluxes (negative Q anomalies). To the east of the region of enhanced convection,
positive Q anomalies are observed, which result from increased net surface
shortwave radiation (positive SW anomalies) and decreased surface latent
heat fluxes (negative E anomalies). In contrast, in the vicinity of the
region of enhanced convection, negative Q anomalies are seen, which arise
from reduced net shortwave radiation (negative SW anomalies) and increased
surface latent heat fluxes (positive E anomalies). We have determined the
time between independent samples to be approximately 6 pentads. Thus, correlations
larger (smaller) than +0.23 (-0.23) are significant at 95% level based on
local t-test with 69 degrees of freedom (414 pentads / 6 pentads).
The phase relationships between convection, surface heat fluxes and SST
is further investigated by computing lag correlations between time series
along the equator. Since the cloud field strongly modifies the shortwave
radiation transfer in the atmosphere, OLR and SW time series anomalies along
the equator show an in-phase relationship (not shown). In contrast, as discussed
above and in more detail in JW96, surface latent heat fluxes increase after
the eastward movement of convective anomalies due to the increase in westerly
wind anomalies.
Figure 1. Lag correlation patterns between OLR reference time series
(OLRRTS) in the Indian Ocean (5° S-5° N; 80° E-90° E)
and Q anomalies. Time lag starts at -15 days and the interval is 10 days.
Solid (dashed-dotted) contours denote positive (negative) correlations starting
at 0.1 (-0.1) and the interval is 0.1. Positive (negative) correlations
indicate that convection (subsidence) is associated with negative (positive)
Q anomalies. Heavy (light) shaded regions indicate correlations greater
(less) than 0.23 (-0.23) and are significant at 95% significance level based
on local t-test. The propagation of convective anomalies along the equator
is indicated by "X", and has been determined by lag correlations
between OLRRTS and OLR anomalies.
Please ckick on image for full view
Therefore, lag correlations between OLR and E anomalies (not shown) indicate
that E lags OLR by one pentad (4 days in JW96). To gain additional insight
on the interaction between convection, SST and surface heat fluxes, Fig.
2 shows lag correlations of time series averaged from 5° S to 5°
N for every longitude along the Indian and Pacific equatorial regions. As
in the lag correlation patterns, the statistical significance is based on
a local t-test based on 69 degrees of freedom. Figure 2a shows lag correlations
between OLR and SST anomalies such that negative lag correlations imply
that positive SST anomalies lead variations in convection. Statistically
significant correlations demonstrate that SST leads variations in convection
along the entire domain. However, it is interesting to note that correlations
are higher in the Indian Ocean than in the western Pacific, and there is
also a slight east to west tilt towards increasing negative lags. In the
Indian Ocean, SST leads convection by one pentad, while SST leads OLR by
two and three pentads in the western and central Pacific, respectively,
consistent with other studies (see discussion in Jones et al., 1996).
Lag correlations between OLR and d(SST)/dt anomalies along the equator
are shown in Fig. 2b, and negative lag correlations reveal that d(SST)/dt
lead variations in convection. Positive anomalies of d(SST)/dt, i.e. warming
trend, lead variations in convection by three to four pentads in the Indian
and Pacific Ocean as is indicated by the negative lag correlations. It is
worth noting however that the lag correlations are higher for positive lags
of one to two pentads than negative lags. This indicates the strong effect
that subsidence (positive OLR anomalies) has on warming (positive d(SST)/dt
anomalies) of the upper ocean. The temporal relationship between surface
heat fluxes and d(SST)/dt is shown in Fig. 2c, which shows lag correlations
between Q and d(SST)/dt anomalies. Positive lag correlations indicate that
Q leads d(SST)/dt variations. Significant and high correlations at approximately
one pentad are observed at all longitudes, and demonstrate that surface
heating (positive Q anomalies) leads warm SST trend in the upper ocean (positive
d(SST)/dt anomalies).
3.2. WESTERN PACIFIC HOT SPOTS AND MJO ACTIVITY
In the previous section, the analysis between MJO and SST variability were
examined in terms of the MJO cycle. Characteristics of the other fields,
e.g. SST, were then analyzed with respect to the phases of this cycle. In
this section, we would like to focus and build the analysis upon an SST
feature, and then examine the characteristics of the MJO associated with
the different phases of this SST feature. The specific SST feature we would
like to use for examination are the occurrences of large-scale regions of
very high SST. If a relationship between these features and the MJO is found,
this will provide further evidence of the important interaction between
the MJO and variability in tropical SST.
In a previous study, Waliser (1996) (hereafter W96) investigated the formation
and decay of ocean "hot spots" in the western Pacific in an effort
to understand the limiting/regulating mechanisms of high SST. Ocean hot
spots were defined as self-contained regions with SST equal or greater than
29.75° C and an area larger than 1.0 x 106 km2. In order to characterize
these regions of high SST, we apply the same algorithm used by W96 to unfiltered
pentads of SST for the period January 1985 through December 1994 (730 pentads).
Each identified hot spot is characterized by its pentad of occurrence, SST-weighted
mean latitude/longitude, spatial area, and mean SST value.
Figure 2. Lag correlations between pairs of time series along the equator
and averaged from 5° S to 5° N. (a) Lag correlation between OLR
and SST time series. Negative lags indicate that SST leads variations in
OLR anomalies. (b) Lag correlation between OLR and d(SST)/dt time series.
Negative lags indicate d(SST)/dt that leads variations in OLR anomalies.
(c) Lag correlation between Q and d(SST)/dt time series. Positive lags indicate
that Q leads variations in d(SST)/dt anomalies. Heavy (light) shaded regions
indicate correlations greater (less) than 0.23 (-0.23) and are significant
at 95% significance level based on local t-test.
Please ckick on image for full view
We now examine the influence of the MJO on the formation and decay of hot
spots in more detail by first characterizing the occurrence of hot spots
in the Pacific Ocean (40° S-40° N; 90° E-120° W) in
nearly ten years of data. As before, we attempt to find the influence of
the MJO on the hot spots by relating variations in convection (OLR anomalies)
and hot spots occurrence (unfiltered SST). We selected the period 1-5 May
1985 through 5-15 May 1994, since this is the period in which OLR anomalies
are available. Next, we identified all pentads when hot spots are observed,
and tagged their periods of formation and decay. The following example illustrates
this procedure. Suppose that hot spots are first observed in the Pacific
Ocean starting on 1-5 May 1985 and existed until 4-8 August 1985 and that
no hot spots are observed until a hot spot reappeared on 14-18 August 1985
and lasted for only one pentad. Then suppose, hot spots appeared again on
24-28 August 1985 and lasted for several consecutive pentads until they
ceased on 15-19 February 1986. The last pentad before a period of absence
of hot spots, in this case 4-8 August 1985 and 15-19 February 1986, is defined
as a break (hereafter B). A single isolated pentad with hot spots, in this
case 14-18 August 1985, is defined as transient (hereafter T). The first
pentad of a period of reappearance of consecutive hot spots, in this case
1-5 May 1985 and 24-28 August 1985, is defined as a recurrence (hereafter
R). This labeling is performed so that the phase of the MJO can be statistically
tied to the development and decay periods of the hot spot. A total of 544
hot spots are observed during 1-5 May 1985 through 5-15 May 1994, with 37
breaks, 37 recurrences and 10 transients.
The relationship between hot spots and the MJO is investigated with respect
to the same reference time series of OLR anomalies (OLRRTS) in the Indian
Ocean site (5° S-5° N; 80° E-90° E) for the period 1-5
May 1985 through 5-15 May 1994 along with the occurrence of hot spots and
the R, B and T events. The OLRRTS indicates that when convection in the
Indian Ocean is intense, subsidence or suppressed convection in the western
Pacific Ocean tends to be enhanced and vice-versa. This fact will be used
to determine any preference of breaks and recurrences of hot spots during
particular phases of the MJO.
In order to summarize the relationships between formation and decay of
hot spots with respect to the MJO phase in the convection field, Fig. 3
shows a scatter plot of all breaks (B), recurrences (R) and transients (T)
pentads during 1985-1994 as a function of OLRRTS and time rate of change
of OLRRTS. The phase of convective anomalies can be understood in the following
manner. Beginning with the first quadrant, OLR and d(OLR)/dt anomalies are
positive, which shows that subsidence is present and increasing in the Indian
Ocean, and as it was shown before, convection is present and increasing
in the western Pacific Ocean. Proceeding clockwise, in the second quadrant,
OLR anomalies are positive, while d(OLR)/dt is negative. This indicates
that subsidence has reached its maximum and is starting to decrease in the
Indian Ocean, with the same holding true for convection in the western Pacific.
In the third quadrant, OLR and d(OLR)/dt anomalies are negative, corresponding
to periods in which convection is present and increasing in the Indian Ocean,
while subsidence is present and increasing in the western Pacific.
Figure 3. Summary of hot spots formation and decay in the Pacific Ocean
during 1985-1994. Horizontal axis denote the OLR anomaly (W m-2) in the
Indian Ocean reference site, while the vertical axis denote the time rate
of change of the OLR anomaly (W m-2 pentad-1) in the same geographical location.
Breaks (B), transients (T) and recurrences (R) are plotted as function of
OLR and d(OLR)/dt. The insets indicate the number of occurrences per quadrant
(see text for further details).
Please ckick on image for full view
Finally, in the fourth quadrant, OLR and d(OLR)/dt anomalies are negative
and positive, which points out that convection and subsidence in the Indian
Ocean and western Pacific, respectively, have passed the maximum and are
starting to decrease. We recall that there are 37 breaks and 37 recurrences
in the period 1985-1994. If they were isotropically distributed, i.e. if
there were no preference to occur during a particular phase of convective
anomalies related to the MJO, one would expect that approximately 9 breaks
and 9 recurrences would be observed in every quadrant. In contrast, some
preference is observed with 18 breaks and 12 recurrences occurring in the
second and third quadrants, respectively. The number of breaks in the second
quadrant is twice the expected number corresponding to no preference, which
strongly suggests that decay of hot spots in the western Pacific Ocean coincides
with periods of increased convection brought on by eastward MJO propagating
events. Furthermore, the decay of hot spots takes place after convection
has reached its maximum. This is consistent with the previous results on
the variations in surface heat fluxes during the life cycle of the MJO,
which show that the eastward propagation of convective anomalies induces
a cooling trend in SST. On the other hand, a moderate preference is observed
for hot spots to occur when subsidence is observed and increasing in the
western Pacific, as the 12 recurrences in the third quadrant indicate. Nevertheless,
this is also consistent with the previous results and also with W96's results,
in which the subsidence that precedes the passage of convective anomalies
creates conditions favorable to warm SST in the western Pacific.
4. SUMMARY AND DISCUSSION
This paper examined how intraseasonal variability in SST is related to
the MJO. We have taken two complimentary approaches in our analysis. The
first focuses on the behavior of the surface heat fluxes and SST relative
to the phases of the MJO, while the second focuses on phases of the MJO
relative to the development and decay of regions of very high SST. Spectral
analysis of SST (not shown) suggests additional observational evidence that
intraseasonal variations in SST occur in each of the tropical oceans, over
a wide latitude domain. Although the MJO reaches maximum amplitudes over
the Indian and western Pacific Oceans, intraseasonal spectral peaks in SST
are detected along the entire tropical region including the Atlantic Ocean.
This raises the important question of what are the driving mechanisms of
the oscillation in SST. This study focused on the Indian and western Pacific
Oceans, and it was shown that the variations in convection and large-scale
atmospheric circulation strongly modify the ocean surface fluxes of net
shortwave radiation and latent heat.
Based on previous studies along with results presented here, an integrated
view of the MJO can be summarized in this way. In the lower and upper troposphere
of the eastern hemisphere, the intense interaction between convection and
large-scale circulation originates an eastward propagating response that
resembles a coupled Rossby-Kelvin wave pattern. In contrast, near the date
line where the interaction between convection and large-scale circulation
decreases, the response appears as radiant Kelvin waves (HS94). As the associated
system of subsidence and convection propagates across the Indian and western
Pacific Oceans, large fluctuations take place near the surface. Before the
passage of convective anomalies, clear skies and subsidence are observed
near the surface. In addition, surface wind speeds are minimum before the
passage of convection and low-level moisture convergence is maximum (HS94,
JW96). These prevailing conditions induce increased surface net shortwave
radiation and decreased surface latent heat fluxes, implying positive anomalies
in the difference Q = SW - E, which therefore favor positive anomalies of
SST. On the other hand, the positive anomalies of SST lead variations in
convection. As the convective anomalies propagate eastward across the region,
the increase in cloudiness and surface wind speeds due to westerly wind
bursts causes a decrease in the net surface shortwave radiation and increase
in surface latent heat fluxes, which result in negative Q anomalies and
favor negative SST anomalies.
Although changes in the surface net shortwave radiation and latent heat
fluxes during the life cycle of the MJO significantly contribute to the
SST variability, they are not the only processes that determine the oscillation
in SST. The importance of the other two terms of the surface energy balance,
net longwave radiation and sensible heat fluxes, should not be underestimated,
since the difference SW - E can be comparable in some circumstances to the
sum of the neglected terms. However, more important is the role that the
upper ocean circulation play in determining the tropical intraseasonal SST
variability. Indeed, it is quite possible that the mechanisms that drive
the SST oscillation vary with geographical location. In the Indian and western
Pacific Oceans, variations in convection and consequently in net surface
shortwave radiation are dramatic, whereas in the equatorial Atlantic they
are less pronounced. On the other hand, surface latent heat fluxes exhibit
sharp intraseasonal spectral peaks in all oceans (JW96). Similarly, horizontal
and vertical temperature advection may be different in the upper layers
of the Indian, Pacific and Atlantic Oceans. Furthermore, an important unresolved
matter concerns how the oscillation in SST may feed back into the oscillation
in the atmosphere (W96). The period and amplitude of the MJO is known to
vary considerably in time (Madden and Julian, 1994). Since the oceanic (60-75
days) and atmospheric (40-50 days) oscillations are offset, the interaction
of SST anomalies with convection is not straightforward to resolve. Modeling
studies should address this question, and a comparison of the intraseasonal
behavior from different models, e.g. uncoupled GCM, coupled GCM with ocean
mixing layer, and fully coupled ocean-atmosphere GCM (General Circulation
Model), should provide important clues on the interaction between convection,
large-scale circulation and SST. This last topic is currently being investigated
by the authors.
Originally examined by W96 and further investigated here, the variability
of very high SST in the western Pacific warm pool is shown to be linked
to the MJO activity. Development of regions of very high SST (above climatology)
in the western Pacific are found to be associated with periods of enhanced
subsidence brought on by descending motion of the MJO, while their decay
is associated with increases in convection brought on by the ascending motion
of the MJO. This emphasizes the need to examine the role internally generated
variability, such as the MJO, has on the statistical description of tropical
SST, i.e. limiting its maximum value. Although the evidence of the MJO influence
found in this study is suggestive, it also points out that the oscillation
is not the only process controlling the variations of high SST in the warm
pool. Hot spots are also strongly characterized by seasonal and interannual
variations, and the intervals between decay and reformation of hot spots
vary significantly. Again, future modeling studies of the formation and
decay of hot spots should be useful to isolate the circumstances in which
different time scales, e.g. MJO and interannual variations, interact with
each other to determine the onset and demise of very high SST in the western
Pacific warm pool.
ACKNOWLEDGMENTS
The authors would like to specially thank Dr. Tim Liu for providing his
computer code to estimate surface latent heat fluxes and continuing support,
Dr. Paul Ricchiazzi and Mr. Peter Peterson for help with data processing
and graphics. The authors also greatly acknowledge data support provided
by the National Center for Atmospheric Research (NCAR), which is sponsored
by the National Science Foundation (NSF). This work is supported by National
Science Foundation research grants ATM9319483(CJ and CG) and ATM-9420833
(DEW) as well as by the National Aeronautics and Space Administration grant
NASA-JPL959177 (CJ and CG).
REFERENCES
Gautier, C., and M. Landsfeld, 1996: Surface solar radiation flux and cloud
radiative forcing for the Atmospheric Radiation Measurement (ARM) Southern
Great Plain (SGP): a satellite, surface observations and radiative transfer
model study. J. Atmos. Sci. (in revision).
Hendon, H. H., and M. L. Salby, 1994: The life cycle of the Madden and Julian
Oscillation. J. Atmos. Sci., (51), 2225-2237.
Jones, C., and B. C. Weare, 1996: On the role of low-level moisture convergence
and ocean latent heat fluxes in the Madden and Julian Oscillation: an observational
analysis using ISCCP data and ECMWF analyses. J. Climate, (in press).
Jones, C., D. E. Waliser, and C. Gautier, 1996: The influence of the Madden
and Julian Oscillation on ocean surface heat fluxes and very high sea surface
temperature variability in the warm pool region. Submitted to J. Climate.
Kessler, W. S., M. J. McPhaden, and K. M. Weickmann, 1995: Forcing of intraseasonal
Kelvin waves in the equatorial Pacific. J. Geophys. Res., (100), 10,613-10,631.
Liu, W. T., K. B. Katsaros, and J. A. Businger, 1979: Bulk parameterization
of air-sea exchanges of heat and water vapor including molecular constraints
at the surface. J. Atmos. Sci., (36), 1722-1735.
Madden, R. A., and P. R. Julian, 1971: Detection of a 40-50 day oscillation
in the zonal wind in the tropical Pacific. J. Atmos. Sci., (28), 702-708.
________________________, 1994: Observations of the 40-50 day tropical oscillation:
A review. Mon. Wea. Rev., (112), 814-837.
Rossow, W. B., L. C. Garder, P. J. Lu, and A. W. Walker, 1988: International
Satellite Cloud Climatology Project (ISCCP) documentation of cloud data.
WMO/TD-no. 266, World Meteorological Organization, Geneva, 78 pp plus two
appendices.
Waliser, D. E., N. E. Graham and C. Gautier, 1993: Comparison of the Highly
Reflective Cloud and Outgoing Longwave Data Sets for use in Estimating Tropical
Deep Convection. J. Climate, (6), 331-353.
Waliser, D. E., 1996: Formation and limiting mechanisms for very high sea
surface temperature: linking the dynamics and thermodynamics. J. Climate,
(9), 161-188.
_____________________________________________
Corresponding author address: Dr. Charles Jones, ICESS, University of California,
Santa Barbara, CA 93106-3060; Email: cjones@icess.ucsb.edu