A New Minimal Detectable Bias in Fault Detection for Positioning
A Decade of the Moderate Resolution Imaging Spectroradiometer: Is a Solar–Cloud Link Detectable
Transcript of A Decade of the Moderate Resolution Imaging Spectroradiometer: Is a Solar–Cloud Link Detectable
A Decade of the Moderate Resolution Imaging Spectroradiometer:Is a Solar–Cloud Link Detectable?
BENJAMIN LAKEN AND ENRIC PALLE
Instituto de Astrofısica de Canarias, and Department of Astrophysics, Faculty of Physics, Universidad de La Laguna,
La Laguna, Tenerife, Spain
HIROKO MIYAHARA
Institute for Cosmic Ray Research, University of Tokyo, Kashiwa, Japan
(Manuscript received 13 June 2011, in final form 30 November 2011)
ABSTRACT
Based on the results of decadal correlation studies between the International Satellite Cloud Climatology
Project–detected cloud anomalies and the galactic cosmic ray (GCR) flux, it has been suggested that a re-
lationship exists between solar activity and cloud cover. If valid, such a relationship could have important
implications for scientists’ understanding of recent climate change. In this work, an analysis of the first decade
of Moderate Resolution Imaging Spectroradiometer (MODIS)–detected cloud anomalies are presented, and
the data at global and local geographical resolutions to total solar irradiance (TSI), GCR variations, and the
multivariate El Nino–Southern Oscillation index are compared. The study identifies no statistically significant
correlations between cloud anomalies and TSI/GCR variations, and concludes that solar-related variability is
not a primary driver of monthly to annual MODIS cloud variability. The authors observe a net increase in
cloud detected by MODIS over the past decade of ;0.58%, arising from a combination of a reduction in high-
to midlevel cloud (20.31%) and an increase in low-level cloud (0.89%); these long-term changes may be
largely attributed to ENSO-induced cloud variability.
1. Introduction
In 1997 a positive correlation was noted between var-
iations in oceanic cloud cover over geostationary sat-
ellite regions and the solar-modulated galactic cosmic
ray (GCR) flux for the period of 1983–94 (Svensmark
and Friis-Christensen 1997). In this study, cloud mea-
surements were taken from the International Satellite
Cloud Climatology Project (ISCCP) (Rossow and Schiffer
1999). The ISCCP data are an intercalibration of radi-
ance measurements, recorded by a fleet of polar-orbiting
and geostationary satellites, provided at an 8-times-daily
temporal resolution since 1983. Data from this project
have been widely utilized for studying the possibility of
a relationship between solar activity and cloud cover
(e.g., Palle and Butler 2000; Todd and Kniveton 2001;
Kristjansson et al. 2002; Laut 2003; Marsh and Svensmark
2003; Kristjansson et al. 2004; Calogovic et al. 2010;
Laken et al. 2010, 2011).
Solar activity has increased over the last century
(Lean et al. 1995; Solanki et al. 2004). Consequently, the
amount of low-energy GCRs impinging on earth’s
atmosphere has decreased during this period. This ob-
servation led Svensmark (2007) to suggest that GCR-
modulated cloud decreases may be primarily responsible
for the recent anomalously high global temperatures
and not anthropogenic emissions; such claims have also
been made by other researchers based on similar argu-
ments (e.g., Shaviv 2005; Rao 2011). However, it is un-
likely that these claims are valid, as since 1987 solar
activity levels have remained constant and thus can-
not account for the observed warming climate trends
(Lockwood and Frohlich 2008), and the historical cloud
datasets do not seem to show evidence of such GCR–
cloud connections (Palle and Butler 2002). Furthermore,
the arguments supporting an anthropogenic (and not
solar based) warming of climate over the past several
decades are more consistent with the observed temper-
ature records (Solomon et al. 2007).
Corresponding author address: Benjamin Laken, Instituto de
Astrofısica de Canarias, C/ Vıa Lactea, s/n, 38205 La Laguna,
Tenerife, Spain.
E-mail: [email protected]
4430 J O U R N A L O F C L I M A T E VOLUME 25
DOI: 10.1175/JCLI-D-11-00306.1
� 2012 American Meteorological Society
Despite these facts, notions of a solar–cloud link still
warrant further investigation, particularly as a range of
palaeoclimatic reconstructions have found strong evi-
dence implying the presence of pervasive links between
solar activity cycles and variations in earth’s climate from
a range of distinct sources over periods of up to thou-
sands of years, such as variations in monsoonal activity
recorded by stalagmite growth (Fleitmann et al. 2003);
periodic ice rafting events in the North Atlantic (Bond
et al. 2001); variations in dust layers present in Greenland
ice core samples (Ram and Stolz 1999); and hemispheric-
scale climate anomalies recorded by tree rings (Yamaguchi
et al. 2010). Such connections are difficult to explain via
a conventional understanding of solar–terrestrial con-
nections and may imply the presence of an unknown
mechanism(s) linking small changes in solar activity to
the earth’s climate.
A variety of pathways linking changes in solar activity
to atmospheric variability have been proposed, and de-
tailed descriptions of these pathways are given by Haigh
(1996), Carslaw et al. (2002), and Meehl et al. (2009).
Such connections may provide additional sources of un-
accounted for natural climate variability, which could
have been a significant factor influencing past climate
and may continue to operate as a source of contem-
porary (albeit likely low amplitude) climate variability
(Beer et al. 2000).
In the context of such palaeoclimatic studies, the no-
tion of a cloud-based solar–climate link is particularly
intriguing, as such a connection would have the potential
to amplify the relatively small solar impetus into a cli-
matologically significant effect. This is achieved as the
radiative forcing effects of clouds are large enough, that
even a small change in cloud amount may exert an in-
fluential radiative forcing (Slingo 1990); for example,
an increase of global cloud cover by 1% would alter
earth’s radiative budget by approximately 20.13 W m22
(Ramanathan et al. 1989). An amplifying mechanism
such as this is essential to the idea of a solar–climate
link, as the total energy variance of the sun over an
11-yr solar cycle possesses an amplitude of only
;0.1%; assuming a conservative climate sensitivity of
0.3–1.08C (W m22)21, this value is too small to be of direct
significance to earth’s climate (Kelly and Wigley 1992;
Schlesinger and Ramankutty 1992; Lean and Rind 1998).
Subsequent reanalysis of the initial Svensmark and
Friis-Christensen (1997) GCR–cloud relationship found
that the observed correlation was restricted to low-
altitude (.680 mb) cloud cover only (Marsh and
Svensmark 2000; Palle and Butler 2000) and even this
relationship was found to break down after 1994 (Laut
2003). It was claimed by Marsh and Svensmark (2003) that
this breakdown was the result of a satellite calibration
issue. However, this idea is questionable, as while ad-
justments to the ISCCP dataset occurring following the
addition of new satellite instruments to the network may
conceivably result in a jump in the dataset, it would not
produce a change necessary to obscure a long-term cor-
relation. As a further issue to this notion, it seems that the
long-term trends in the ISCCP dataset may largely result
from satellite-viewing geometry artifacts and not from
physical changes in the atmosphere (Evan et al. 2007).
The accuracy of long-term ISCCP cloud studies is
also limited by errors in the data: estimations of total
relative uncertainties in the radiance calibrations are
around #5% for visible (VIS) and #1% for infrared (IR)
measurements, where absolute calibration uncertainties
are estimated to be around 10% and 2%, respectively
(Brest et al. 1997). Additionally, criticisms regarding
long-term solar–cloud correlation studies have been raised
in relation to the detected relationships being influ-
enced by internal oscillations, such as El Nino (Farrar
2000), and also by long-term artificial errors in the
ISCCP dataset itself (Norris 2000; Palle 2005).
2. Rationale and datasets
In this study we aim to provide an overview of global-
and local-scale correlations between cloud anomalies
and solar activity over the last decade. Cloud data are
drawn from the Moderate Resolution Imaging Spec-
troradiometer (MODIS) project. This dataset provides
several advantages over ISCCP measurements utilized
by similar studies; most significantly, MODIS provides
a greatly increased spectral resolution from which to
determine cloud properties. As MODIS has been active
since 2000, data are available for almost a complete solar
cycle, providing an intriguing opportunity to further in-
vestigate the possibility of long-term relationships be-
tween cloud cover and solar activity in an independent
and modern cloud dataset.
Because of the parallels between this work and simi-
lar long-term analysis carried out with ISCCP data, it is
important to highlight some of the primary differences
between the MODIS and ISCCP datasets: 1) the ISCCP
samples the entire globe 8 times per day from a network
of geostationary and polar-orbiting satellites, whereas
MODIS samples over a 1–2-day period from two in-
struments on board the Earth Observing Systems Aqua
and Terra polar-orbiting platforms. 2) ISCCP uses 11
channels operating between 0.4 and 14.12 mm (although
the actual number of channels viewed by each individual
satellite in the network varies from 2 to 11), whereas
MODIS operates at much higher spectral resolutions,
using 36 channels (between 0.405 and 14.385 mm). 3) To
determine cloud-top pressure ISCCP uses emissivity,
1 JULY 2012 L A K E N E T A L . 4431
whereas MODIS uses a method known as CO2 slicing;
this technique has proven to be more sensitive to certain
cloud types than the ISCCP method (Wylie and Menzel
1999). 4) ISCCP performs both VIS-and-IR-combined
retrievals during daytime and IR-only cloud retrievals
during nighttime and compares these values to adjust
the nighttime (IR only) retrievals, whereas MODIS pro-
vides only a simple daily mean statistic of retrieved cloud
pixels during daytime. 5) Over certain regions MODIS
observes larger cloud amounts than ISCCP; this differ-
ence is most pronounced at low-altitude levels, over land
during daytime (Pincus et al. 2006, 2012). It is important
to note that there is no clear definition of cloud frac-
tion that is applicable across distinct observing systems;
MODIS cloud fractions are comparable to ISCCP, which
in turn have been tested against other measures of cloud
fraction from surface-based observations (Rossow et al.
1993). MODIS cloud fractions are relatively conserva-
tive and frequently reject patchy low-level cloud because
of ambiguous retrievals; this may contribute to a bias in
the dataset.
This investigation also uses both total solar irradiance
(TSI) and GCR flux data: TSI data are taken from the
Physikalisch-Meteorologisches Observatorium Davos
(PMOD) World Radiation Center composite (Frohlich
and Lean 1998; Frohlich 2000), while measurements of
the GCR flux are derived from the Moscow neutron
monitor (55.478N, 37.328E; 200 m; 2.43 GV). In addition,
an index of the El Nino–Southern Oscillation (ENSO) is
also used: the multivariate ENSO index (MEI) (Wolter
and Timlin 1993). The MEI is created from the com-
bined first unrotated principal component of six observed
climate parameters over the topical Pacific, specifically,
sea level pressure, zonal and meridional surface winds,
sea surface temperatures, surface air temperatures, and
total cloud fraction.
3. Methodology
In the following analysis, the mean of the seasonal
cycle is removed (deseasonalized) and the cloud anom-
alies are compared to TSI, GCR, and MEI variations;
all data are utilized at a monthly temporal resolution.
The deseasonalization is performed on the cloud data
by differencing individual monthly averages from the
respective (grouped) monthly average over the entire
dataset.
The cloud data used in this work are drawn from the
combined measurements of the MODIS instruments on
board both the Terra and Aqua platforms. No artificial
changes are introduced into the resulting time series as a
consequence of this combination, and it is noted that the
individual (overlapping) Terra and Aqua cloud fraction
time series show a strong correlation (r 5 0.87) (Fig. 1).
The combination of Terra and Aqua data should provide
an additional level of robustness to the results, as aver-
aging across independent MODIS sensors will reduce
the possibility of instrumental errors influencing the re-
sults. Monthly cloud amount at high-altitude (,440 mb),
midaltitude (440–680 mb), and low-altitude (.680 mb)
levels are calculated from the MOD08 (daily) level 3,
collection 5.1 data (from the ‘‘cloud-top pressure mean’’
and ‘‘cloud fraction combined mean’’ parameters). The
distinction between low-, mid-, and high-altitude levels
is based on ISCCP definitions. It is noted that collec-
tion 5.1 Terra data includes a long-term calibration
drift of currently unknown origins; however, this issue
does not affect the cloud fraction or cloud-top pressure
parameters.
Evaluations of the degree of association between the
datasets are made using correlation coefficients (R).
Cloud data are analyzed at both a globally averaged
geographical resolution and over a local (18 3 18) reso-
lution at varying altitude levels. To accurately determine
the significance of the R values, Monte Carlo (MC) sim-
ulation techniques are employed in the following man-
ner: detrended monthly GCR/TSI data for the entire
data period (i.e., the 10-yr trend is removed) are ran-
domized and correlated against 624-month periods of
detrended monthly cloud data 10 000 times; the critical
significance thresholds are then determined based on
the resulting (normally distributed) R values. An analysis
of autocorrelation within the datasets showed desea-
sonalized MODIS cloud anomalies have only negligible
autocorrelation, while the TSI/GCR and MEI datasets
showed autocorrelations of around 15 months. As this
period is far shorter than the total data period and the
FIG. 1. Agreement between MODIS Terra and Aqua cloud
anomalies. Deseasonalized global MODIS cloud anomalies from
both Terra (solid line) and Aqua (dashed line) instruments over the
period of 2000–11. Data shows an R of 0.87.
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MC methodology makes no assumptions regarding
independence, autocorrelation will not influence our es-
timates of statistical significance to a notable degree. For
an examination of the significance of cross correlations
in the deseasonalized and linearly detrended data, lagged
significance thresholds are calculated at globally aver-
aged resolutions. For an analysis of local significance
levels, the MC procedure is performed at the individual
gridcell level (at zero-month lag).
4. Results
The deseasonalized cloud anomalies are presented in
Fig. 2. The total anomaly exhibits virtually no long-term
trend (0.004% month21) and possesses an average stan-
dard deviation over the data period of 1.04% (Fig. 2a).
Cloud anomalies detected at high-altitude levels ex-
hibit a slight decreasing tendency over the data period
of 20.005% month21 and show an average standard de-
viation of 0.90% (Fig. 2b). The midaltitude-level cloud
anomalies show a small increasing tendency (0.002%
month21) and an average standard deviation of 0.78%
(Fig. 2c). The low-level anomalies show an increasing
trend of 0.0069% month21 and an average standard de-
viation of 0.78% (Fig. 2d).
Figure 3 shows both the monthly normalized GCR
flux (%) and the normalized TSI (W m22) outside the
atmosphere. The GCR flux is relatively low (approxi-
mately 26.82%) from 2000 to 2003 during the maximum
of solar cycle 23. It then increases by around 10% from
2003 to 2006, after which time it remains relatively stable
(at around 6.30%), only beginning to decrease in the
latter part of 2009 (Fig. 3a). TSI demonstrates approxi-
mately similar but anticorrelated behavior (the GCR and
TSI data possess an R value of 20.76 over the data pe-
riod): during the first half of the decade, TSI shows a
relatively large monthly standard deviation (during so-
lar maximum) of around 0.46 W m22; however, after this
period this value drops to only 0.08 W m22. The ap-
proximate amplitude of the solar maximum to minimum
TSI change over the period is seen to be 0.90 W m22
(outside of the atmosphere) (Fig. 3b).
An examination of the cross correlations between cloud
at total, high, mid-, and low levels and the TSI/GCR
flux over a 624-month period is presented in Fig. 4. No
strongly significant associations are identified, although
several weakly significant correlations can be seen at a
variety of time lags and inconsistent signs. The only var-
iables found to show a statistically significant (negative)
correlation above the 0.99 critical level were the low
cloud and the TSI flux. However, the TSI data showed
a significant correlation at a 111-month time lag, pre-
cluding the possibility of a causal relationship.
FIG. 2. Anomalous cloud trends. Deseasonalized monthly cloud
anomaly (%) detected by MODIS (Aqua and Terra combined)
between March 2000 and February 2011: (a) total anomaly, (b)
high-level (,440 mb) anomaly, (c) midlevel (440–680 mb) anom-
aly, and (d) low-level (.680 mb) anomaly. Solid line shows mean
anomaly, while dotted lines above and below display one standard
deviation (s) level of the monthly averaged cloud values. Linear
fits are also displayed, along with both the regression equations (Y)
and R values.
1 JULY 2012 L A K E N E T A L . 4433
An examination of locally significant correlations (oc-
curring at zero lag) shows the presence of small and
sporadic regions of largely positive correlation occurring
between total cloud and TSI over areas of the southern
midlatitude ocean regions and also a single relatively
large area located at low-cloud levels over the equatorial
Pacific, coinciding with the region associated with the
Pacific cold tongue (PCT) region (Figs. 5a–d). Although
these areas of positive correlation are found to occur
over high-, mid-, and low-altitude levels, it can also be
observed that negative correlations appear cospatially
(at different altitudes) with many areas of overlying
positive anomalies (while the reverse is also true), for
example, over areas of the North Atlantic. Locally sig-
nificant correlations between GCR variations and cloud
show a range of geographically scattered statistically
significant correlations (Figs. 5e–h). However, the cor-
relations at low-altitude levels tend to be largely neg-
ative, contradicting a suggested positive correlation
between GCR and low-cloud variations (Fig. 5h). Field
significance testing was performed on these results:
only the low-cloud/GCR flux sample was found to be
field significant above the 0.95 significance level (hav-
ing a p value of 0.043).
The MEI shows a decreasing linear trend over the
data period (of 20.004 month21) (Fig. 6a). In relation
to the solar and cloud datasets, the MEI shows (zero lag)
R values of 20.16/20.08 to TSI/GCR, respectively, and
20.06/20.19/20.09/0.28 to total/high/middle/low desea-
sonalized cloud anomalies, (the linear trends are re-
moved from all data prior to tests of cross correlation).
At local (geographical) scales, R values are found to be
both large (up to 60.8) and geographically widespread.
The most apparent features are a large area of positive
(negative) correlation at high (low) levels over the mid-
dle equatorial Pacific and a region of negative (positive)
correlation located largely around Indonesia at high
(low)-altitude levels (Figs. 6b–e).
FIG. 3. GCR and TSI trends. Monthly (a) GCR flux (%) from Moscow neutron monitor and
(b) TSI (W m22) from the PMOD reconstruction. Values are normalized against their re-
spective averages over the entire period (March 2000–February 2011). Solid line shows mean
anomaly, while dotted lines above and below display one s level of monthly averaged values.
Linear fits are also displayed, along with both Y and R values.
4434 J O U R N A L O F C L I M A T E VOLUME 25
The MEI shows a statistically significant (.0.99 two-
tailed level) negative correlation to the GCR flux cen-
tered on month 28 and a secondary significant negative
peak (.0.95 confidence level) occurring around month
116, whereas TSI shows no notable correlation to the
MEI within approximately 620 months surrounding the
zero lag (Fig. 7).
5. Discussion
An analysis of Fig. 1 has shown that total MODIS
cloud measurements exhibit a long-term increase of
0.58% over the past decade, resulting from a decrease in
high- and midlevel cloud cover of 20.31% and an in-
creasing trend in low-cloud levels of 0.89%. If real, this
change implies an increase in shortwave (negative) and
a decrease in longwave (positive) radiative forcing, which
would suggest that over the past decade clouds may have
exerted an enhanced cooling influence on climate of
around 20.075 W m22. However, it is likely that this
observation is partially artificial, as satellite radiometer
measurements are noncloud penetrating. Consequently,
low-level cloud is frequently masked by the occurrence
of overlying cloud. Thus, a physical decline in the
high-/midlevel cloud amount over regions that over-
lap low-level cloud will give the false impression of a
roughly equal magnitude increase in low-level cloud
amount; such occurrences have been noted in the ISCCP
dataset (Palle 2005). This phenomenon is evident in
Fig. 6, which shows cospatial significant correlations of
opposing sign between altitude levels (e.g., the Indo-
nesian region shows both negative correlations at high-
altitude levels and positive correlations at low-altitude
levels). Thus, it is likely that the increase in low-level
cloud (which is more than twice the magnitude of the
reduction in high- and midlevel clouds) is at least par-
tially artificial. It is physically plausible that the linear
reduction detected in the high-level cloud may result
from the shift toward La Nina conditions over the data
period [indicated by the linear decrease of the MEI
(Fig. 6a)].
It is also nontrivial to note that trends detected in the
ISCCP dataset over a comparable time period are found
to be in disagreement with MODIS: from 2000 to 2008
ISCCP D1 IR data shows trends of 20.018% (30 days)21
in low-level clouds and 0.027% (30 days)21 in midlevel
and high-level clouds combined. Although we make no
attempt to test the physical validity or attribution of
these trends, we note that this conflict underscores the
difficulty in accurately measuring global long-term cloud
changes from satellites and suggests that we should limit
the level of confidence that can be placed in the results of
such long-term cloud studies. For a detailed discussion
FIG. 4. Cloud–solar cross correlations for detrended data. Cross-
correlation plots for 624-month time lags for both TSI (solid line)
and GCR (dashed line) against deseasonalized monthly cloud anom-
alies at varying altitude levels: (a) total, (b) high-level (,440 mb),
(c) midlevel (440–680 mb), and (d) low-level (.680 mb). The
linear trends (presented in the Y equations of Figs. 1, 2) are re-
moved from the datasets prior to correlation analysis. Second-
order polynomial fits of MC-simulated significance thresholds are
also displayed over the 624-month lag period at the two-tailed
0.95 (dashed lines) and 0.99 (dotted lines) levels.
1 JULY 2012 L A K E N E T A L . 4435
of relevant ISCCP and MODIS comparisons, see Pincus
et al. (2006, 2012) and references therein.
Although this is the first long-term examination of
MODIS-detected cloud anomalies in relation to solar
activity, MODIS has been previously utilized to test for
the presence of a solar – cloud link by Kristjansson et al.
(2008). This study focused on high-magnitude daily
time-scale decreases in the GCR flux known as Forbush
decrease (FD) events to test for the occurrence of sig-
nificant cloud anomalies over regions theoretically sen-
sitive to the effects of GCR variations; the results of this
work also yielded no compelling evidence of a GCR–
cloud link.
The period of study (2000–10) occurs during the final
phase of solar cycle 23 and the first portion of cycle 24.
The latter has been an abnormal cycle, with an unusually
deep minimum (Nandy et al. 2011). This is clearly evi-
dent in Fig. 2, which shows both TSI and the GCR flux
exhibiting low monthly variability post 2006. Conse-
quently, this may mean that the magnitude (and thus
detectability) of any potential solar–cloud link may also
be comparably low over this period. To be fully confident
FIG. 5. Locally significant solar–cloud correlations. Locally statistically significant (at the 0.95 two-tailed level) R
(at zero lag) plotted between 608N and 608S. (a)–(d) [(e)–(h)] display correlations between cloud anomalies and TSI
[GCR], at all total, high-altitude (,440 mb), midaltitude (440–680 mb), and low-altitude (.680 mb) levels. Critical
significance levels are determined for each pixel by MC simulation methods (see methodology for full description).
Linear trends are removed from the datasets prior to analysis.
4436 J O U R N A L O F C L I M A T E VOLUME 25
that a solar signal is not clearly present in the MODIS
data, this study should be repeated in the future when
data spanning several solar cycles becomes available.
It is plausible that artificial correlations may arise be-
tween TSI and cloud cover, as a result of varying ir-
radiance being received by the satellite instruments.
However, studies observing changes in the TSI flux of
;0.4 W m22 over a period of several days observed no
statistically significant changes in ISCCP cloud cover
(Laken et al. 2011; Laken and Calogovic 2011), imply-
ing that such a situation is likely similarly incapable of
producing artificial cloud changes over annual–decadal
time scales also.
Because of the linked nature of the variations in the
TSI and GCR flux, it is problematic to isolate one var-
iable and claim it as causally linked to atmospheric
changes. However, based on the overall significance of
the correlations achieved, TSI has a higher probability
of being causally related to cloud changes than the GCR
flux: similar conclusions have been drawn by other long-
term correlation analysis studies based on the ISCCP
dataset (Kristjansson et al. 2002, 2004). However, it is
FIG. 6. ENSO index and cloud correlations. (a) Monthly changes in the MEI from 2000 to 2010, with the linear
trend, Y, and R value displayed. Also shown are locally statistically significant correlations to variations in cloud
cover at (b) total, (c) high-altitude (,440 mb), (d) midaltitude (440–680 mb), and (e) low-altitude (.680 mb) levels.
Critical significance levels are determined for each pixel by MC simulation methods (see methodology for full de-
scription). Linear trends are removed from the datasets prior to analysis.
1 JULY 2012 L A K E N E T A L . 4437
clear from the overall poor correlations achieved (Figs.
4, 5) that solar activity is not a dominant factor driving
monthly and annual cloud variability. Indeed, it may
be argued that several of the locally significant corre-
lations identified in Fig. 5 may be reflecting ENSO-
related variability (to which TSI/GCR are found to
demonstrate a weak correspondence); arguments that
long-term solar–ISCCP cloud studies are influenced by
ENSO activity have similarly been made by Farrar (2000).
The results of a cross-correlation analysis between the
MEI and solar anomalies/globally averaged cloud varia-
tions seem to further reinforce such findings: analysis
has shown that GCR anomalies yield a significant an-
ticorrelation to the MEI around month 28; this cor-
relation does not diminish below statistically significant
values until approximately month 23 (Fig. 7). Such a
correlation clearly has no physical basis, and it implies
that the significant correlation detected between GCR
variations and midlevel global cloud anomalies beginning
around month 211 (Fig. 4c) may be due to the chance
correlation between the GCR flux and ENSO variations.
Similarly, the increases in R values around month 112
between TSI and total/high-altitude/midaltitude cloud
anomalies (Figs. 4a–c) are also likely connected to posi-
tive correlations between the aforementioned param-
eters and ENSO variations at this time (Fig. 7).
Despite these largely discouraging findings with re-
lation to the notion of a dominant solar–cloud link, our
local-scale correlation analysis identifies variations in
low-altitude cloud anomalies over the PCT region as
being potentially linked to changes in TSI. Although this
correlation is detected at low-altitude levels, there are
no detected areas of cospatial cloud correlation at
upper-atmospheric levels, indicating that the correla-
tion is likely not an artifact. We, therefore, suggest that
this correlation may represent a plausible region of
TSI-associated cloud variability linked to ENSO, likely
operating via a link between TSI and local sea surface
temperatures; a mechanism for such a link may operate
in a method similar to that proposed by Meehl et al.
(2009).
6. Conclusions
An analysis of the first decade of monthly time-scale
MODIS cloud anomalies has shown that neither varia-
tions in TSI emissions or the GCR flux are dominantly
responsible for cloud variability at global or local (geo-
graphic) scales at any altitude level. Although correla-
tion analysis suggests that some statistically significant
correlations between cloud variability and TSI/GCR
variations are present, further investigation of these
relationships revealed that such associations either
broke down during the data period or were likely con-
nected to internal climate variability and not to solar
activity.
Acknowledgments. The authors kindly thank Jasa
Calogovic (Hvar Observatory), Dr. Dominic Kniveton
(University of Sussex), Dr. Juan Betancort (Instituto de
Astrofısica de Canarias), Dr. Steven Platnick (NASA),
Dr. Robert Pincus (NOAA), Dr. Robert Wood (Uni-
versity of Washington), and two anonymous referees for
their constructive comments. The MODIS data were ob-
tained from the NASA website (http://ladsweb.nascom.
nasa.gov), while the cosmic ray data were obtained from
the Solar Terrestrial’s physics division of IZMIRAN
(http://helios.izmiran.rssi.ru). The authors acknowledge
the PMOD dataset (version d41_62_1102): PMOD/WRC
of Davos, Switzerland, which also comprises unpublished
data from the VIRGO experiment on the ESA/NASA
mission SoHO. MEI NOAA/OAR/ESRL/PSD data
were obtained from online (at www.esrl.noaa.gov/
psd//people/klaus.wolter/MEI/).
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