Sea surface temperature patterns in the Tropical Atlantic: Principal component analysis and nonlinear principal component analysis
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TL;DR
This study applies linear PCA and neural-network nonlinear PCA (NLPCA) to monthly tropical Atlantic SST anomalies (1950–2005) to compare how each represents Atlantic Cold Tongue, Atlantic Niño, and Atlantic dipole variability. NLPCA explains slightly more variance and captures nonlinear/asymmetric states—especially canonical/non-canonical Atlantic Niño and dipole displacement—that linear PCA misses.
Key findings
- The first two PCA EOF modes together account for 52% of total monthly SST variance (EOF1 36%, EOF2 16%). The first two NLPCA modes explain marginally more: NLPCA mode 1 explains 38% versus 36% for PCA mode 1, and NLPCA mode 2 explains 22% versus 16% for PCA mode 2.
- PC1 correlates with the Atlantic Niño SST index at 0.82; PC2 correlates with the Atlantic dipole index at 0.66; NLPC2 correlates with the Atlantic dipole index at 0.9. NLPC1 correlates with the normalized ACT index at 0.85, compared with 0.8 for PC1.
- NLPCA mode 1 represents the ACT as quasi-linear but captures both strong and weak ACT states and canonical/non-canonical Atlantic Niño states; the paper reports Atlantic Niño spatial variability is more linear than Pacific ENSO. NLPCA mode 2 captures the Atlantic dipole with a displaced southern lobe and more pronounced asymmetry/nonlinearity than the ACT.
- Composite analysis shows strong and weak ACT patterns are quasi-symmetric, with a spatial correlation of -0.99, but NLPCA provides continuous states rather than only composite means.
Methods
- Used monthly NOAA ERSST SST data at 2° × 2° resolution over 26°S–22°N, 30°W–20°E, from 1950 to 2005; computed monthly SST anomalies relative to the annual cycle and removed linear trends at each spatial location.
- Applied PCA/EOF analysis, then retained 20 PCs by the Guttman-Kaiser criterion (99% total variance) as input to an NLPCA neural network with m = 3 and 3931 parameters, following Hsieh (2004).
- Compared PCA and NLPCA modes, principal/nonlinear principal component time series, correlation maps, and composites for warm/cold ACT events during JJA.
Limitations
- Stated: mechanisms controlling the tropical Atlantic mean state are not fully understood, and future analysis is needed to explore West African monsoon rainfall using NLPCA. NLPCA cannot be used directly on observed or modelled SST data and requires initial dimensionality reduction; larger m increases nonlinear capability but may lead to overfitted solutions.
- Evident: the analysis is limited to one SST reconstruction, 1950–2005, and 2° × 2° resolution, and no formal significance testing is reported in the text. The NLPCA parameter count (3931) greatly exceeds the number of time points, which the paper itself flags as an overfitting concern.
Model-written summary. Check it against the paper before relying on it.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
3 of 43 cited sources checked · 1 supported · 0 flagged · accuracy not yet measured
- Premisecitation
There is interannual variability in the ACT spatial pattern in the Gulf of Guinea, which is not fully understood.
“Caniaux et al. (2011) shows that there is interannual variability in the ACT spatial pattern in GoG, which is not fully understood.”
Quote in the paperSubstantial claim1 of 1 sources checked- cites Caniaux et al. (2011) source
- Findingown data
The spatial distribution of the reconstructed SST anomaly varies with each selected value of u.
“It observed that the spatial distribution varies with each selected value of u .”
Quote in the paperNot a substantial claim - Findingown data
Figs. 8b, 8c, 8d show the displacement of the southern counterpart of the dipole, which confirms the asymmetry of the meridional mode.
“Figs.8b, 8c, 8d show the displacement of southern counterpart of the dipole, which confirms the asymmetry of the meridional mode.”
Quote in the paperSubstantial claim - Findingown data
The correlation coefficient between PC1 and the Atlantic Niño SST index is 0.82.
“In addition, the correlation coefficient between PC1 and Atlantic Niño SST index is 0.82.”
Quote in the paperSubstantial claim - Findingown data
ACT distribution is quasi-linear in space.
“and ACT distribution is quasi-linear in space.”
Quote in the paperNot a substantial claim
- Findingown data
The first two NLPCA modes between them explain marginally more of the total data variance than do the first two PCA modes.
“The first two NLPCA modes between them explain marginally more of the total data variance than do the first two PCA modes.”
- Also stated in: § 5. Conclusion · plain
“The first two NLPCA modes between them explain marginally more of the total data variance than do the first two PCA modes.”
Quote in the paperNot a substantial claim - Also stated in: § 5. Conclusion · plain
- Findingown data
The variation from minimum (strong ACT) to maximum (low ACT) of the eight u values shows a contrast between the north-east and southwest of 5°S.
“This variation from the minimum (strong activity of Atlantic cold tongue) to maximum (low activity of Atlantic cold tongue) of the eight values of u shows a contrast between the north-east and southwest of 5°S.”
Quote in the paperNot a substantial claim - Findingown data
EOF2 displays an opposite phase between the North and South parts of 6°S.
“Then EOF2 displays an opposite phase between the North and South parts of 6°S.”
Quote in the paperSubstantial claim - Findingown data
This meridional mode is exhibited in the second mode of NLPCA.
“This meridional mode (Fig. 8) is exhibited in the second mode of NLPCA.”
Quote in the paperSubstantial claim - Findingown data
The two EOF modes together account for 52% of the total monthly SST variance.
“The two EOF modes together account for 52% of the total monthly SST variance.”
Quote in the paperSubstantial claim - Findingown data
The SSTA signature of the first mode is mainly confined to the eastern equatorial region.
“The SSTA signature of the first mode is mainly confined to the eastern equatorial region.”
Quote in the paperSubstantial claim - Findingown data
The pattern of strong and weak ACT types is quasi symmetric.
“We may observe that the pattern of these two types of ACT is quasi symmetric.”
Quote in the paperNot a substantial claim - Findingown data
Individually, the two EOF modes explain 36% and 16% of the total variance of SST.
“Individually, they explain 36% and 16% of the total variance of SST.”
Quote in the paperSubstantial claim - Findingown data
EOF2 exhibits large variances in two places: at the Equator between 5°S and 2°N and along the Gabon coast.
“EOF2 exhibits (Fig. 2) large variances in two places: (1) at the Equator between 5°S and 2°N and ( 2) along the Gabon coast.”
Quote in the paperNot a substantial claim - Findingown data
EOF1 exhibits high variance in coastal Angola, extending from the coast to the west between 6°S and 2°N.
“EOF1 exhibits (Fig. 2a) a high variance in coastal Angola, which extends from the coast to the west between 6°S and 2°N”
Quote in the paperSubstantial claim - Findingown data
The second NLPCA mode is a dipole, with each pole on either side of the equator with a different sign.
“between large negative and positive values of NLPCA mode 2 is a dipole; with each pole on either side of the equator with a different sign (Fig. 8).”
Quote in the paperSubstantial claim - Findingown data
The other components explain less than 14% of the total variance.
“The other components explain less than 14% of the total variance and will not be discussed further.”
Quote in the paperSubstantial claim - Findingown data
A north-south inter-hemispheric gradient of SST anomalies is observed in the second mode of PCA.
“A north-south inter-hemispheric gradient of SST anomalies is observed in the second mode of PCA.”
Quote in the paperSubstantial claim - Findingown data
PC2 and the Atlantic dipole SST index are well correlated with a correlation coefficient of 0.66.
“PC2 and Atlantic dipole SST index are well correlated (Fig. 3) with correlation coefficient of 0.66.”
Quote in the paperSubstantial claim - Findingown data
The cold year of ACT is more intense than the warm one.
“We note in Fig. 6 that the cold year of ACT is more intense than the warm one”
Quote in the paperNot a substantial claim - Findingnone given
The signal of EOF1 decreases from East to West between 15°S and 2°N.
“The signal decreases from East to West between 15°S and 2°N.”
Quote in the paperNot a substantial claim - Findingown data
The largest SSTA tend to be located on the Angola coast during average strong and weak ACT events.
“the largest SSTA tend to be located in the Angola coast during the average strong and weak ACT events.”
Quote in the paperSubstantial claim - Findingown data
The strong and weak ACT states are confined to the eastern part of the equatorial Atlantic.
“The strong and weak ACT states, (Fig.6.a),(Fig.6h), respectively, are confined to the eastern part of the equatorial Atlantic.”
Quote in the paperSubstantial claim - Findingown data
The quasi-symmetry determined by a composite analysis shows just two steps of ACT.
“The quasi-symmetry determined by a composite analysis (Fig. 7) shows just two steps of ACT.”
Quote in the paperNot a substantial claim - Findingown data
The time series of NLPC mode 2 and the Atlantic dipole index have a correlation coefficient of 0.9.
“Fig. 10 shows the time series of NLPC mode 2 and Atlantic dipole index with the correlation coefficient of 0.9.”
Quote in the paperSubstantial claim - Findingown data
The south counterpart of the dipole has a displacement.
“However, we may observe that the south counterpart of the dipole has a displacement.”
Quote in the paperSubstantial claim - Findingown data
ACT and Atlantic Niño seem to evolve together because their correlation coefficient is 0.94.
“It seems as if the two (ACT and Atlantic Niño) evolve together because their correlation coefficient is 0.94.”
Quote in the paperSubstantial claim - Findingnone given
Fig. 6b corresponding to 0.75 min(u) is similar to EOF1.
“Fig. 6b corresponding to 0.75 min( u ) is similar to EOF1.”
Quote in the paperSubstantial claim - Findingown data
The explained variance results show that the NLPCA mode 2 explains more variance as the second principal component.
“The explained variance results show that the NLPCA mode 2 explains more variance as the second principal components.”
Quote in the paperSubstantial claim - Findingown data
The SSTA manifests itself as a wave-shaped curve on the nonlinear graph of the first nonlinear mode between the minimum and maximum values of its principal component u.
“The SSTA manifests itself as a Wave-shaped curve on the non linear graph of the first nonlinear mode between the minimum and maximum values of its principal component u .”
Quote in the paperSubstantial claim - Findingnone given
The NLPC mode 2 described the Atlantic dipole variability.
“The NLPC mode 2 described the Atlantic dipole variability.”
Quote in the paperSubstantial claim - Findingnone given
The two maps correspond to the SSTA patterns of an average weak and strong ACT, respectively.
“These two maps correspond to the SSTA patterns of an average weak and strong ACT, respectively.”
Quote in the paperSubstantial claim - Findingown data
Unlike PCA, NLPCA shows the nonlinear form in SSTA structure.
“Unlike the PCA, the NLPCA shows the nonlinear form in SSTA structure.”
Quote in the paperSubstantial claim - Findingown data
NLPCA gives the additional information that the Southern lobe underwent an eastward displacement.
“Regarding the Southern lobe picture of Figs.8 compared to other analysis we see that NLPCA gives the additional information that this lobe underwent an eastward displacement.”
Quote in the paperSubstantial claim - Findingown data
The first NLPCA mode 1 shows both strong and weak ACTs.
“It is more explicit in the first NLPCA mode 1, which shows both strong and weak ACTs.”
Quote in the paperNot a substantial claim - Findingown data
The normalized time series of NLPC bears a strong resemblance to the ACT time series.
“Fig.5 is a plot of the normalized time series of nonlinear principal component (NLPC), which bears a strong resemblance to the ACT time series.”
Quote in the paperSubstantial claim - Findingown data
The meridional mode is more nonlinear than the ACT mode.
“The meridional mode (Figs.9) is more nonlinear than that of the ACT (Figs.6).”
Quote in the paperSubstantial claim - Findingown data
The very weak spatial asymmetry between cold and warm ACT events observed in NLPCA mode 1 is manifest in composite analysis.
“The very weak spatial asymmetry between cold and warm events of ACT observed in NLPCA mode 1 is manifest in composite analysis.”
Quote in the paperSubstantial claim - Findingown data
The spatial correlation between the two composite maps is -0.99.
“The spatial correlation between the two maps is -0.99.”
Quote in the paperSubstantial claim - Findingown data
The asymmetry of the variability of the meridional mode is more pronounced than that of the ACT.
“We observe that the asymmetry of the variability of the meridional mode is more prononced (Fig. 9a) than that of the ACT.”
Quote in the paperSubstantial claim - Findingown data
There is clear nonlinearity in the distribution from NLPCA SST mode 2.
“There is clear nonlinearity in the distribution from NLPCA SST mode 2.”
Quote in the paperSubstantial claim - Findingown data
The first NLPCA mode successfully passes through the strong and weak states as NLPC varies continuously from its minimum to maximum value.
“In contrast, the first NLPCA mode successfully passes through the strong and weak states as NLPC varies continuously from its minimum to maximum value.”
Quote in the paperSubstantial claim - Findingown data
The NLPCA mode 1 is slightly coincident with the projection onto PC1.
“The NLPCA mode 1 is slightly coincident with the projection onto PC1 indicated by the green line in the plots.”
Quote in the paperNot a substantial claim - Findingnone given
The Atlantic dipole is more asymmetric than Atlantic Niño.
“We observed that the Atlantic dipole is more asymmetric than Atlantic Niño.”
Quote in the paperSubstantial claim - Findingown data
Fig. 9 confirms the nonlinearity observed in the characteristic of spatial variability of the meridional mode.
“Fig. 9 confirms the nonlinearity observed in the characteristic of spatial variability of the meridional mode.”
Quote in the paperNot a substantial claim - Findingown data
The variation from the minimum to maximum of the eight values of the NLPC of the second NLPCA mode shows a contrast between the north-west and south-west.
“This variation from the minimum (strong gradient) to maximum (weak gradient) of the eight values of the NLPC of the second NLPCA mode shows a contrast between the north-west and south-west.”
Quote in the paperSubstantial claim - Findingnone given
In this study, unlike in the Pacific Ocean where Hsieh (2004) shows that the Pacific El Niño is asymmetric, the spatial variability of this mode in the Atlantic Ocean is more linear than ENSO.
“In this study, unlike in the Pacific Ocean where Hsieh (2004) shows that the Pacific El Niño is asymmetric, the spatial variability of this mode in the Atlantic Ocean is more linear than the El Niño/Southern Oscillation (ENSO).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Hsieh (2004) source
- Findingown data
The first NLPCA mode successfully passes through the canonical El Niño states and non-canonical El Niño states.
“The first NLPCA mode successfully passes through the canonical El Niño states, non-canonical El Niño states”
Quote in the paperSubstantial claim - Findingnone given
Both the NLPCA mode 1 and the composite analysis describe the symmetry between averages of warm and cold ACT events.
“Both the NLPCA mode 1 and the composite analysis describe the symmetry between averages of warm and cold ACT events.”
Quote in the paperSubstantial claim - Findingcitation
The nonlinearity in spatial variation of ACT is modest in the Atlantic Ocean in contrast to the Pacific Ocean.
“The non linearity in spatial variation of ACT is modest in the Atlantic Ocean in contrast to the Pacific Ocean.”
Quote in the paperSubstantial claim - Findingown data
In the East region and in the ACT area, the 1D NLPCA approximation displays greater fidelity to the original data, as determined by pointwise correlation, than does the 1D PCA approximation.
“In the East region and in the ACT area the 1D NLPCA approximation displays a greater fidelity to the original data, as determined by the pointwise correlation, than does the 1D PCA approximation.”
Quote in the paperSubstantial claim - Findingown data
NLPCA represents better ACT surface on the Angolan coast than PCA.
“We observe that NLPCA represents better ACT surface on the Angolan coast than the PCA.”
Quote in the paperSubstantial claim - Findingnone given
These two statistical tools do not strongly represent globally SSTA data very close along the Guinea coast.
“These two statistical tools do not strongly represent globally SSTA data very close along the Guinea coast.”
Quote in the paperSubstantial claim - Findingown data
Strong correlation in Fig. 11 centered in the Northwest part of the Ocean at around 20°W shows the ability of PCA to reproduce SSTA data in this region.
“However strong correlation in Fig.11centered in the Nothwest part of the Ocean at around 20°W shows the ability of PCA to reproduce SSTA data in this region.”
Quote in the paperSubstantial claim - Premisecitation
The ACT is the primary seasonal signal of SST in the equatorial Atlantic Ocean.
“This is the primary seasonal signal of SST in the equatorial Atlantic Ocean (Merle et al., 1980, Xie and Carton, 2004, Wauthy, 1983).”
Quote in the paperNot a substantial claim0 of 3 sources checked- cites Merle et al., 1980 source
- cites Xie and Carton, 2004
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Wauthy, 1983
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Premisecitation
The tropical Atlantic Ocean is characterised by a strong seasonal cycle, particularly in the Gulf of Guinea.
“The tropical Atlantic Ocean is characterised by a strong seasonal cycle (Li andPhilander, 1997, Xie andCarton, 2004), particularly in the Gulf of Guinea (GoG).”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Li andPhilander, 1997
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Xie andCarton, 2004
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Premisecitation
The Atlantic Cold Tongue (ACT) is a zone of relatively cold sea surface temperature that appears from June to September along and slightly south-east of the equator.
“Here, a zone of relatively cold sea surface temperature (SST) appears from June to September along and slightly south-east of the equator: the Atlantic Cold Tongue (ACT).”
Quote in the paperNot a substantial claim0 of 3 sources checked- cites Merle et al., 1980 source
- cites Xie and Carton, 2004
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Wauthy, 1983
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Premisenone given
With a linear approach, it is generally impossible to have simultaneous results.
“With a linear approach, it is generally impossible to have simultaneous results.”
- Also stated in: § 4. Discussion · plain
“With a linear approach, it is generally impossible to have simultaneous results.”
Quote in the paperNot a substantial claim - Also stated in: § 4. Discussion · plain
- Interpretationreasoning
This picture is consistent with the Atlantic dipole.
“This picture is consistent with the Atlantic dipole (Servain et al., 1999).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Servain et al., 1999 source
- Premisecitation
The ACT strongly affects the West African Monsoon (WAM).
“In particular, the ACT strongly affects the West African Monsoon (WAM) (Okumura andXie, 2004, Thorncroft et al., 2011).”
Quote in the paperSubstantial claim0 of 2 sources checked- cites Okumura andXie, 2004
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Thorncroft et al., 2011 source
- Interpretationreasoning
NLPCA is capable of simultaneously capturing many more pictures in the Atlantic Ocean.
“Therefore, NLPCA is capable of simultaneously capturing many more pictures in the Atlantic Ocean.”
Quote in the paperSubstantial claim - Interpretationown data
The variability of the second mode, which resembles the meridional mode, can change from year to year.
“This shows that the variability of the second mode, which resembles the meridional mode one, can change from year to year.”
Quote in the paperSubstantial claim - Interpretationreasoning
The situation in the South lobe is unstable.
“The situation in the South lobe is unstable.”
Quote in the paperNot a substantial claim - Premisecitation
The meridional mode is characterized by a north-south inter-hemispheric gradient of SST anomaly that has no equivalent in the Pacific Ocean.
“The meridional mode is characterized by a north-south inter-hemispheric gradient of SST anomaly that has no equivalent in the Pacific Ocean (Servain et al., 1999).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Servain et al., 1999 source
- Interpretationcitation
The pattern of the first mode captures the zonal mode pattern in the tropical Atlantic.
“The pattern of the first mode captures the zonal mode pattern in the tropical Atlantic (Carton and Huang, 1994, Handoh and Bigg, 2000, Huang and Shukla, 1997, Ruiz-Barradas et al., 2000, Zebiak, 1993).”
Quote in the paperSubstantial claim0 of 3 sources checked - Interpretationcitation
Tropical Atlantic interannual variability is strongly linked to the seasonal cycle.
“which suggests that the tropical Atlantic interannual variability is strongly linked to the seasonal cycle.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Picaut et al. (1984) source
- Premisecitation
Interannual changes in SST are largest in regions where the seasonal SST signal is large, including the ACT region.
“The result is that interannual changes in SST are largest in regions where the seasonal SST signal is large, including the ACT region”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Picaut et al. (1984) source
- Interpretationcitation
The meridional mode is significantly influenced by ENSO.
“In particular, this means that the meridional mode, is significantly influenced by ENSO (Czaja et al., 2002).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Czaja et al., 2002
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Premisecitation
Joke and Michael (2013) results show that the Atlantic Niño mode is more strongly damped than Pacific Niño.
“Joke and Michael (2013) results show that the Atlantic Niño mode is more strongly damped than Pacific Niño.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Joke and Michael (2013)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationreasoning
NLPCA mode 1 better represents the inter-annual variability of ACT than linear PCA mode 1.
“It is observed that the NLPCA mode 1 better represents the inter-annual variability of ACT than linear PCA mode 1.”
Quote in the paperSubstantial claim - Interpretationreasoning
The rotated eigenvectors do not improve much on the unrotated eigenvectors for the study of ACT and Atlantic Niño.
“Therefore the rotated eigenvectors does not improve much on the unrotated eigenvectors for the study of ACT and Atlantic Niño.”
Quote in the paperSubstantial claim - Interpretationreasoning
This insinuates that there is a very cold and very warm event in the Atlantic region.
“This insinuates that we have a very cold and very warm event in the Atlantic region.”
Quote in the paperNot a substantial claim - Interpretationown data
PCA points out the interannual principal mode in the Atlantic Ocean.
“In this section it is known from SSTA that PCA points out the interannual principal mode in the Atlantic Ocean.”
Quote in the paperSubstantial claim - Interpretationreasoning
Because composite analysis is based on composite means, the micro-spatial patterns of strong and weak ACT will differ from those of the NLPCA analysis.
“Since composite analysis is based on composite means, there will be difference of the micro-spatial patterns of strong and weak ACT from that of the NLPCA analysis.”
Quote in the paperNot a substantial claim - Interpretationreasoning
It is not necessary to study RPCA since neither PCA nor RPCA can represent the two states of ACT simultaneously.
“It is not necessary to study RPCA since neither the PCA nor RPCA can represent the two states of ACT simultaneously.”
Quote in the paperSubstantial claim - Premisecitation
The meridional dipole rarely occurs.
“It is confirmed by Xie and Carton (2004) whose analysis showed that meridional dipole rarely occurs.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Xie and Carton (2004)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationreasoning
EOF1 exhibits strong ACT.
“This means that EOF1 exhibits strong ACT.”
Quote in the paperSubstantial claim - Interpretationown data
The combination of all two SST EOFs yields the major events in the tropical Atlantic.
“The combination of all two SST EOFs yields the major events in the tropical Atlantic.”
Quote in the paperSubstantial claim - Interpretationown data
The first PCA exhibits a more accurate description of the ACT than the first RPCA mode.
“The first PCA exhibits a more accurate description of the ACT than the first RPCA mode.”
Quote in the paperSubstantial claim - Interpretationown data
The weakness of the gradient between the North-West and south-West means that the Atlantic dipole is insignificant during some years.
“The weakness of the gradient between the North-West and south-West means that the Atlantic dipole is insignificant during some years.”
Quote in the paperNot a substantial claim - Interpretationown data
The weak ACT can be regarded as the conventional El Niño.
“Then the weak ACT can be regarded as the conventional El Niño.”
Quote in the paperSubstantial claim - Premisenone given
Composite analysis can show only the states of the means of the weak and strong ACTs separately.
“Composite analysis can show only the states of the means of the weak and strong ACTs separately.”
Quote in the paperSubstantial claim - Interpretationown data
NLPCA serves as a useful tool to investigate various aspects of the Atlantic phenomena.
“We have shown that the NLPCA serve as a useful tool to investigate various aspects of the Atlantic phenomena.”
Quote in the paperNot a substantial claim - Interpretationown data
The quasi-symmetry between warm and cold ACT events is confirmed.
“This confirms the quasi-symmetry between the warm and cold ACT events.”
Quote in the paperSubstantial claim - Interpretationown data
NLPCA mode 1 includes PCA mode 1.
“Fig.2a, hence NLPCA mode 1 includes PCA mode 1.”
Quote in the paperSubstantial claim - Premisenone given
Linear PCA describes the evolution in time of a standing oscillation with fixed spatial structure and time varying amplitude.
“Linear PCA method describes the evolution in time of a standing oscillation with fixed spatial structure and time varying amplitude.”
Quote in the paperSubstantial claim - Interpretationown data
NLPCA can better represent all the SST data than PCA.
“NLPCA can better represent all the SST data than PCA.”
Quote in the paperSubstantial claim - Interpretationreasoning
NLPCA improves on PCA by allowing low-dimensional approximations to have a structure other than that of simple standing oscillations.
“NLPCA improves on PCA by allowing low-dimensional approximations to have a structure other than that of simple standing oscillations.”
Quote in the paperSubstantial claim - Interpretationown data
This demonstrates the better capacity of NLPCA in representing SST data than PCA.
“This demonstrates the better capacity of NLPCA in representing SST data than the PCA.”
Quote in the paperSubstantial claim - Interpretationown data
Compared to PCA, NLPCA can better point out the ACT, Atlantic dipole, canonical and non-canonical Atlantic Niño.
“Compared to PCA, NLPCA can better point out the ACT, Atlantic dipole, Canonical and non-canonical Atlantic Niño.”
Quote in the paperSubstantial claim - Interpretationreasoning
NLPCA has the feature of capturing a range of variability between the symmetry of different ACT states, something difficult to obtain using index-based SST composites.
“The NLPCA, therefore, has the nice feature of capturing a range of variability between the symmetry of different ACT states, something that is difficult to obtain using index-based SST composites.”
Quote in the paperSubstantial claim - Interpretationown data
NLPCA and PCA are complementary.
“Therefore, the NLPCA and PCA are complementary.”
Quote in the paperSubstantial claim
- May combine two claims. 45
- Classified as probably not a substantial claim. 11
May combine two claims.
FindingcitationBy multiplying EOF1 with its related PC, typical ACT cold years are 1990, 1992, 1997, 2005 and warm years are 1984, 1987, 1998.
“By multiplying EOF1 with its related PC, we observe some typical ACT cold years, such as 1990, 1992, 1997, 2005and warm years 1984, 1987and 1998(Caniaux et al., 2011).”
Quote in the paperNot a substantial claim1 of 1 sources checked- cites Caniaux et al., 2011 source
Section 2.2 identifies 1992 and 2005 among the coldest ACT years and 1984 and 1987 among the warmest. It does not identify 1990 or 1997 as cold years, or 1998 as a warm year, and the passages found do not describe an EOF1–PC calculation. The paper uses an ACT temperature index for the reported classifications. (LLM, conf=0.87)
Experimental — accuracy not yet measured
Probably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationTwo primary modes of interannual variability have been identified in the tropical Atlantic: the equatorial and meridional modes.
“Within the last decades, two primary modes of interannual variability have been identified in the tropical Atlantic (e.g.Servain andMerle, 1993, Xie et al., 1999)): the equatorial and meridional modes.”
Quote in the paperNot a substantial claim1 of 2 sources checked- cites Servain andMerle, 1993
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Xie et al., 1999 source
The Observational Background (page unavailable in our copy) favors two tropical Atlantic modes: an equatorially symmetric monopole and an antisymmetric dipole. But it describes the monopole as interannual and the dipole as decadal, so it does not support calling both modes interannual. (LLM, conf=0.88)
Experimental — accuracy not yet measured
May combine two claims.
Findingown dataThe SSTAs show a remarkable meridional gradient, with significant positive anomalies spreading from the North African coast into the northwestern tropical Atlantic and significant negative anomalies in the south.
“The SSTAs show a remarkable meridional gradient, with significant positive anomalies spreading from the North African coast into the northwestern tropical Atlantic and significant negative anomalies in the south.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataThe high correlation coefficient between NLPCA mode 1 and PCA1 confirms the result that ACT distribution is quasi-linear in space.
“This result is confirmed by the high correlation coefficient between NLPCA mode 1 and PCA1.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataDuring strong gradient events the core of the southern lobe is centered around 15°W; during some weak events it is around 20°W.
“During the strong gradient (meridional gradient between the two lobes, Fig. 8a) events the core of the southern lobe is centered around 15°W during the strong gradient and around 20°W during some weak events (Fig. 8f).”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown dataThe Atlantic dipole in Fig. 8a is similar to that in Fig. 8f but the southern lobe is not located at the same place.
“The Atlantic dipole in Fig. 8a is similar to that in Fig. 8f but the southern lobe is not located at the same place.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown dataEOF1 mode accounts for up to 36% of the total variance, with the region of largest amplitude around the Angola coast.
“EOF1 mode (Fig. 2a) accounts for up to 36% of the total variance with the region of largest amplitude around the Angola coast.”
Quote in the paperSubstantial claimMay combine two claims.
Findingnone givenThere is a local maximum in the tropics which has a sign, indicating that the two regions are quite strongly out of phase.
“There is, however, a local maximum in the tropics which has a sign, indicating that the two regions are quite strongly out of phase.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataThe largest SSTA is located in the eastern part during average weak ACT events and centered in the same region during average strong ACT events.
“The largest SSTA is located in the eastern part during average weak ACT events and centered in the same region during average strong ACT events.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataNLPCA SSTA mode 2 explains 22% of the total data variance, compared to 38% for NLPCA SST mode 1.
“For the observational SST data, NLPCA SSTA mode 2 explains 22% of the total data variance, compared to 38% for NLPCA SST mode 1.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingnone givenThe nonlinearity of the sinuosity observed in Fig. 4a is modest, and the maximum of PC1 is less than the absolute value of the minimum of PC1.
“The non linearity of the sinuosity observed in Fig.4a is modest and the maximum of PC1 is less than the absolute value of the minimum of PC1.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown dataThe first NLPCA mode explains 38.6% of the variance of the given EOFs, i.e. 38% of the total variance of SSTA, compared to 36% explained by the first PCA.
“The first mode (Fig.4) of NLPCA explains 38.6% of the variance of the given EOFs, i.e 38% of the total variance of SSTA compared to 36% explained by the first PCA.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataOne of these patterns can be captured by conventional PCA analysis but does not capture the quasi-symmetry presented by strong and weak ACTs.
“One of these patterns can be captured by a conventional PCA analysis but does not capture the quasi symmetry presented by strong and weak ACTs.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataThe asymmetry of SSTA in the evolution of NLPCA mode 1 is modest; the canonical and non-canonical Atlantic El Niño event is observed which cannot be pointed out by linear mode 1.
“The asymmetry of SSTA in the evolution of NLPCA mode 1 is modest; the canonical and non canonical Atlantic El Niño event is observed which cannot be pointed out by linear mode 1.”
Quote in the paperSubstantial claimMay combine two claims.
FindingcitationThe weak gradient between the two lobes is observed in the sequence map, and this weakening of the meridional mode is consistent with previous works.
“Also the weak gradient between the two lobes is observed in the sequence map; this weakening of the meridional mode is consistent with previous works (Tokinaga et al., 2011).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Tokinaga et al., 2011
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
Findingown dataFig. 6e, f and g characterized the non-canonical Atlantic Niño with negative anomalies in the northern tropical Atlantic, and Fig. 6h characterized the canonical Atlantic Niño with positive anomalies in the northern tropical Atlantic.
“The results presented in Fig.6.e,f and g characterized the non canonical Atlantic Niño with negative anomalies in the northern tropical Atlantic and Fig.6h characterized the canonical Atlantic Niño with positive anomalies in the northern tropical Atlantic.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataThe first rotated PCA explained 31% of the total variance, versus 36% by the first PCA mode.
“In this paper, in terms of variance, the first rotated PCA explained 31% of the total variance (not shown), versus 36% by the first PCA mode.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown dataFig. 7a and Fig. 7b bear a strong resemblance to Fig. 6h and Fig. 6a, respectively, and are strongly similar to EOF1.
“Fig. 7a and Fig. 7b, respectively, bears a strong resemblance to Fig. 6h and Fig. 6a; and are strongly similar to EOF1.”
Quote in the paperSubstantial claimMay combine two claims.
Findingnone givenThe correlation coefficient between the normalized ACT index, nonlinear principal component and linear principal component are respectively 0.85 and 0.8.
“The correlation coefficient between the normalized ACT index, nonlinear principal component and linear principal component are respectively 0.85 and 0.8.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataComposite analysis shows just two steps of ACT, determining a quasi-symmetry.
“The quasi-symmetry determined by a composite analysis (Fig. 7) shows just two steps of ACT.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataThe main characteristic of the Atlantic dipole is captured, with the South Pole shifted towards the coast with different signs.
“The main characteristic of the Atlantic dipole is captured, with the South Pole shifted towards the coast with different signs.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
FindingcitationThe south lobe is missing in Figs. 8b, 8c, 8d.
“We also observed that the south lobe is missing in Figs.8b, c, d.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingnone givenThe two composite maps correspond to the SSTA patterns of an average warm and cold ACT event, respectively.
“These two maps correspond to the SSTA patterns of an average warm and cold ACT event, respectively.”
Quote in the paperSubstantial claimClassified as probably not a substantial claim. May combine two claims.
Findingnone givenFig. 6a represents the coldest year and Fig. 6h the year of the warmest ACT, which is not the warmest year but the year of weak ACT corresponding to Atlantic Niño.
“Fig.6a represents the coldest year and Fig.6h the year of the warmest ACT, which is not the warmest year but the year of weak ACT corresponding to Atlantic Niño.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataNLPCA mode 1 explains 38% of the total variance in the SST field, in contrast to 36% for the first PCA mode, while NLPCA SST mode 2 explains 22% of the total data variance compared to 16% by the linear PCA mode 2.
“It was observed that a NLPCA mode 1 explains 38% of the total variance in the SST field, in contrast to 36% for the first PCA mode while NLPCA SST mode 2 explains 22% of the total data variance compared to 16% by the linear PCA mode 2.”
Quote in the paperSubstantial claimMay combine two claims.
FindingcitationThe Atlantic equatorial mode, which is similar to ENSO in the Pacific Ocean, has been recognized and, considering Hsieh (2004), it is observed that it is less linear than ENSO.
“The Atlantic equatorial mode which is similar to El Niño/Southern Oscillation (ENSO) in the Pacific Ocean has been recognized and considering the Hsieh (2004) work, it is observed that it is less linear than the latter.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Hsieh (2004) source
May combine two claims.
FindingreasoningPCA mode 1 also characterizes average ACT variability, but only as a standing oscillation, so it is unable to evaluate the weak asymmetry in spatial pattern between average warm and cold events manifested in the 1D NLPCA.
“PCA mode 1 also characterizes average ACT variability, but only as a standing oscillation, so it is unable to evaluate the weak asymmetry in spatial pattern between average warm and cold events manifested in the 1D NLPCA.”
Quote in the paperSubstantial claimMay combine two claims.
Findingnone givenIn terms of explained variance, NLPCA mode 1 is generally greater than PCA mode 1, but the difference is not as much as that between PCA mode 2 and NLPCA mode 2, which are very large and with NLPCA mode 2 being greater than PC mode 2.
“in terms of explained variance, NLPCA mode 1 is generally greater than PCA mode 1 however the difference is not as much as that between PCA mode 2 and NLPCA mode 2, which are very large and with the NLPCA mode 2 being greater than PC mode 2.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataThe two approximations are equally well correlated with the original data over the central band of the Atlantic Ocean, where the NLPCA correlations are somewhat higher than those of the PCA approximation, except in the Northwest part of the Ocean.
“The two approximations are equally well correlated with the original data over the central band of the Atlantic Ocean, where the NLPCA correlations are somewhat higher than those of the PCA approximation, except in the Nothwest part of the Ocean.”
Quote in the paperSubstantial claimClassified as probably not a substantial claim. May combine two claims.
PremisecitationKramer (1991) used neural networks to extend PCA to the extraction of nonlinear relationships in a dataset, defining nonlinear principal component analysis (NLPCA).
“Since the 1980s, models of neural networks have been developed and Kramer (1991) used them to extend PCA abilities to the extraction of nonlinear relationships in a dataset, which defines the nonlinear principal component analysis (NLPCA).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Kramer (1991) source
May combine two claims.
PremisereasoningConventional PCA can only extract linear structures from data, so nonlinear structures are either missed or misinterpreted by these methods.
“The weakness of this conventional method is that only linear structures can be extracted from data.This limitation means that nonlinear structures are either missed or misinterpreted by these methods.”
Quote in the paperSubstantial claimMay combine two claims.
PremisecitationWhen trade winds intensify in the western Atlantic, the equatorial thermocline slope increases and negative SST anomalies develop in the Gulf of Guinea, reinforcing the ACT; conversely, when trade winds weaken, the slope decreases and positive SST anomalies develop in the Gulf of Guinea.
“When the trade winds intensify in the western Atlantic, the equatorial thermocline slope increases and negative SST anomalies develop in the GoG, reinforcing the ACT; conversely, when trade winds weaken, the equatorial thermocline slope decreases and positive SST anomalies develop in the GoG (Servain and Amault, 1995).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Servain and Amault, 1995
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
Interpretationown dataNLPCA gives a more accurate description of the El Niño states than the first PCA mode, which did not fully represent the canonical and non-canonical Atlantic Niño.
“In addition, it gives a more accurate description of the El Niño states (Fig. 6) than the first PCA mode (Fig. 2a), which did not fully represent the canonical and non-canonical Atlantic Niño.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationThe Atlantic Niño is much weaker than its Pacific counterpart.
“However, the Atlantic Niño is much weaker than its Pacific counterpart (Carton and Huang, 1994, Latif and Grötzner, 2000, Servain et al., 2003, Zebiak, 1993).”
Quote in the paperNot a substantial claim0 of 3 sources checkedProbably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
PremisecitationChen et al. (2010) applied NLPCA on SST in the South China Sea and showed that it accounts for more variance than linear PCA and brings a finer analysis of interannual variability.
“Also, in the South China Sea, Chen et al. (2010) applied NLPCA on SST and showed that this statistical method accounts for more variance of the total variables in comparison with linear PCA and brings a finer analysis of interannual variability.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Chen et al. (2010) source
May combine two claims.
PremisecitationThe equatorial mode is mainly responsible for SST variability in the Gulf of Guinea and is identified by abnormal changes in the equatorial thermocline slope resulting from zonal-wind anomalies in the western tropical Atlantic.
“The equatorial mode is responsible for SST variability in the GoG mainly, and is identified by abnormal changes in the equatorial thermocline slope resulting from zonal-wind anomalies in the western tropical Atlantic.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Servain and Amault, 1995
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
PremisecitationENSO influence on the tropical Atlantic is strongest in the North Tropical Atlantic, with Atlantic warming occurring 4-5 months after the mature phases of Pacific warm events.
“Many observational (Enfield et al., 1997) and modeling (Huang et al., 2002) studies have shown that the ENSO influence on the tropical Atlantic is strongest in the North Tropical Atlantic, with Atlantic warming occurring 4-5 months after the mature phases of Pacific warm events (Xie and Carton, 2004).”
Quote in the paperNot a substantial claim0 of 3 sources checked- cites Enfield et al., 1997
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Huang et al., 2002 source
- cites Xie and Carton, 2004
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationThe Atlantic dipole exhibits decadal time scales.
“This is not surpring because it is observed in some studies (Rajagopalane et al., 1998, Servain, 1991) that the Atlantic dipole exhibits decadal time scales.”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Rajagopalane et al., 1998
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Servain, 1991 source
May combine two claims.
InterpretationreasoningThe second NLPCA mode has fully captured the Atlantic dipole pattern, unlike PCA mode 2, which only captured part.
“This means that the second NLPCA mode has fully captured the Atlantic dipole pattern, unlike PCA mode 2, which only captured part.”
Quote in the paperSubstantial claimMay combine two claims.
InterpretationreasoningThe spatial variation of the meridional mode changes, meaning that the phenomenon cannot happen in the same place every year.
“Thus the spatial variation of the meridional mode changes meaning that the phenomenon cannot happen in the same place every year.”
Quote in the paperNot a substantial claimMay combine two claims.
Interpretationown dataThe sequential evolution of the phenomenon from Fig. 8a to Fig. 8h is interrupted, implying that the phenomenon is not observed each year.
“When observing the Atlantic dipole structure, we may realise that the sequential evolution of the phenomenon from Fig. 8a to Fig. 8h is interrupted, implying that the phenomena is not observed each year which is not also suprising as results.”
Quote in the paperSubstantial claimMay combine two claims.
InterpretationreasoningNLPCA explains variances extracted by PCA and gives more information, which is not obvious by analysis with the PCA.
“So, NLPCA explains variances extracted by PCA and gives more information, which is not obvious by analysis with the PCA.”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationown dataThe spatial distribution is best described by NLPCA than PCA, and the variance may be represented by these first NLPCA modes.
“The spatial distribution is best described (Fig.6) by NLPCA than PCA, and the variance may be represented by these first NLPCA modes.”
Quote in the paperSubstantial claimMay combine two claims.
InterpretationreasoningThe second NLPCA mode yields a more accurate description of the Atlantic dipole than the second PCA mode, which did not fully represent the displacement of the center of action located in the southern part.
“Thereby yielding a more accurate description of the Atlantic dipole (Fig. 8) than the second PCA mode (Fig. 2b), which did not fully represent the displacement of the center of action located in the southern part.”
Quote in the paperSubstantial claimMay combine two claims.
InterpretationcitationNLPCA is not so constrained, and therefore its power lies in characterizing more complex lower-dimensional structures.
“NLPCA is not so constrained, and therefore its power lies in characterizing more complex lower-dimensional structures (Monahan, 2001).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Monahan, 2001 source
Probably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationThe northern and southern hemispheres appear to act independently.
“It was pointed out by Houghton and Tourre (1992) and confirmed by Metha (1998) that the northern and southern hemispheres appear to act independently.”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Houghton and Tourre (1992) source
- cites Metha (1998)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S2 (checkable).
InterpretationreasoningNLPCA can give more information about this variability.
“NLPCA can give more information about this variability.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningNLPCA has the advantage of no a priori specification of a time series over which to composite, and provides a full 1D approximation to the data, in contrast to the absence of approximation in composite analysis.
“However, NLPCA has the advantage of no a priori specification of a time series (e.g.periods) over which to composite, and provides a full 1D approximation to the data, in contrast to the absence of approximation in composite analysis.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationWarm events (Atlantic Niños) are associated with reduced cold tongue development.
“The warm events (Atlantic Niños) are associated with reduced cold tongue development(Carton and Huang, 1994).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Carton and Huang, 1994 source
May combine two claims.
InterpretationreasoningThe fact that ACT is almost linear gives the impression that NLPCA is not necessary, but the implementation of only linear PCA hides this weak nonlinearity.
“The fact that we observed that ACT is almost linear gives the impression that NLPCA is not necessary, but the implementation of only linear PCA hides this weak nonlinearity.”
Quote in the paperSubstantial claimMay combine two claims.
InterpretationreasoningComposite analysis can only give the mean state of ACT, but PCA and NLPCA can approximate the real state.
“The latter can only give the mean state of ACT but PCA and NLPCA can approximate the real state.”
Quote in the paperSubstantial claimMay combine two claims.
InterpretationreasoningNLPCA shows different states of ACT, isolating different patterns and their associated amplitudes which may be missed by means or averaging.
“But NLPCA shows different states of ACT; isolating different patterns and their associated amplitudes which may be missed by the means or averaging.”
Quote in the paperSubstantial claim
The paper relies on this without support.
NLPCA has never been applied in the tropical Atlantic region, to the authors' knowledge.
“While PCA has been frequently used in the above studies of tropical Atlantic variability, NLPCA has never been applied in this region, to our knowledge.”
The paper relies on this without support.
The mechanisms controlling the mean state of the tropical Atlantic are not fully understood.
“Overall, the mechanisms controlling the mean state of the tropical Atlantic are not fully understood.”
The paper relies on this without support.
The mean state of the tropical Atlantic is important as an indicator for predicting future atmospheric circulation.
“However, its mean state is important as an indicator for predicting future atmospheric circulation.”
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
Each contradiction between two passages listed here was confirmed by an independent check.
Fig. 8f's displacement is described in the wrong direction
MinorThe southern lobe is placed at 15°W in Fig. 8a and 20°W in Fig. 8f. Moving from 15°W to 20°W is a westward shift, not an eastward one.
“Compared to Fig. 8a, the southern lobe of Fig. 8f is somewhat shifted to the east”
“During the strong gradient (meridional gradient between the two lobes, Fig. 8a) events the core of the southern lobe is centered around 15°W during the strong gradient and around 20°W during some weak events (Fig. 8f).”
Atlantic mode is described as both more and less linear than Pacific ENSO
MinorOne passage says the Atlantic mode's spatial variability is more linear than Pacific ENSO; the conclusion says the Atlantic equatorial mode is less linear than its Pacific counterpart.
“the spatial variability of this mode in the Atlantic Ocean is more linear than the El Niño/Southern Oscillation (ENSO).”
“The Atlantic equatorial mode which is similar to El Niño/Southern Oscillation (ENSO) in the Pacific Ocean has been recognized and considering the Hsieh (2004) work, it is observed that it is less linear than the latter.”
Fig. 7 composites are matched to the opposite ACT states
MinorThe text identifies Fig. 7a as strong ACT and Fig. 7b as weak ACT, while Fig. 6a and Fig. 6h are identified as strong and weak ACT, respectively. The stated resemblance pairs Fig. 7a with weak Fig. 6h and Fig. 7b with strong Fig. 6a instead.
“Fig. 7a and Fig. 7b, respectively, bears a strong resemblance to Fig. 6h and Fig. 6a; and are strongly similar to EOF1.”
“The mean for the strong ACT is represented by Fig. 7.a and for the weak by Fig. 7.b.”
First-mode NLPC values are not equally spaced
MinorThe eight listed values have unequal successive gaps: the first is 2.16 and the second is 0.41. They therefore are not equitably spaced from minimum to maximum as stated.
“Eight values of u are chosen equitably from minimum to maximum.”
“-3.14,-0.98,-0.57, -0.25, 0.06, 0.31, 0.54, and 1.08.”
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Atmospheric conditions in the Atlantic sector during 1983 and 1984
Horel, J. D., Kousky, V. E., & Kagano, M. T. (1986) · Nature · doi:10.1038/322248a0 · Cited by 73 · see citing works
A Comparative Stability Analysis of Atlantic and Pacific Niño Modes*
Lübbecke, J. F., & McPhaden, M. J. (2013) · Journal of Climate · doi:10.1175/jcli-d-12-00758.1 · Cited by 68 · see citing works
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Nonlinear dimensionality reduction in climate data
Gamez, A. J., Zhou, C., Timmermann, A., & Kurths, J. (2004) · Nonlinear processes in geophysics · doi:10.5194/npg-11-393-2004 · Cited by 53 · see citing works
Nonlinear principal component analysis of noisy data
Hsieh, W. W. (2007) · Neural Networks · doi:10.1016/j.neunet.2007.04.018 · Cited by 46 · see citing works
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How and why climate variability differs between the tropical Atlantic and Pacific
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Self-citationA self-sustaining climate mode in the tropical Atlantic, 1995-97: Observations and modelling
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“Many observational (Enfield and Mayer 1997) and modeling (Huang et al. 2002) studies have shown that the ENSO influence on the tropical Atlantic is strongest in the North Tropical Atlantic, with Atlantic warming occurring 4 - 5 months after the mature phases of Pacific warm events (Xie and Carton…”
BackgroundInterannual Climate Variations Over the Tropical Atlantic Ocean
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On forecasting abnormal climatic events in the tropical Atlantic Ocean
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Hybrid coupled modeling of the tropical Pacific using neural networks
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Flagged first, then by citations
1 of the 70 references couldn’t be matched to a known paper.
Research works printed but not linked: 5
- Czaja, A., Vaart, P. V. D.,Marshall, J.: A diagnostic study of the role of remote forcing in tropical Atlantic variability, J. Climate, 15, 3280-3290, 2002. Doi: 10.1175/1520- 0442(2002)015%3C3280:adsotr%3E2.0.co;2 · DOI
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- Houghton, R.W.: Seasonal variations of the subsurface thermal structure in the Gulf of Guinea, Journal of Physical Oceanography, 13, 2070-2081, 1983. Doi:10.1175/1520- 0485(1983)013%3C2070:svotst%3E2.0.co;2 · DOI
- Picaut, J: Propagation of the seasonal upwelling in the eastern equatorial Atlantic, Geophys. Res. Lett., 13, 18-37, 1983. Doi: 10.1175/1520- 0485(1983)013%3C0018:potsui%3E2.0.co;2 · DOI
- YUKO, O., and Shang-Ping,X.: Some Overlooked Features of Tropical Atlantic Climate Leading to a New Nio-Like Phenomenon, American Meteorological Society, 19, 5859-5879, 2006. Doi: 10.1175/jcli3928. · DOI
Cited by
Sorted by citations
Canchala, T., Alfonso-Morales, W., Escobar, Y. C., et al. (2020) · Water · doi:10.3390/w12092628 · Cited by 33 · see citing works
Canchala, T., Alfonso-Morales, W., Cerón, W. L., et al. (2020) · Water · doi:10.3390/w12071863 · Cited by 26 · see citing works
Canchala, T., Escobar, Y. C., Alfonso-Morales, W., Torres-López, W. A., Sánchez, L. D., & Cerón, W. L. (2024) · Theoretical and Applied Climatology · doi:10.1007/s00704-024-04934-6 · Cited by 4 · see citing works
“In recent years, NLPCA has been widely employed to study hydrology, climatology, meteorology, and oceanogra-phy (Hsieh and Tang 1998; Kenfack et al. 2017; Miró et al. 2017; Canchala et al. 2020a, b; Canchala et al. 2022).”
Kenfack-Sadem, C., Kamga, F. M., Alory, G., Hounkonnou, N., Mbienda, A. J. K., Choumbou, P. C., & Vondou, D. A. (2018) · International Journal of Climatology · doi:10.1002/joc.5513 · Cited by 1 · see citing works
“They also suggested that the reappearance of this cold water every year called Atlantic cold tongue (ACT) is stable in space (Kenfack et al., 2017) despite a considerable inter-annual variability in the date of its appearance/disappearance, duration, cooling intensity and surface area.”
BackgroundSelf-citationAir Temperature Sensor Estimation on Automatic Weather Station Using ARIMA and MLP
Wicaksana, H. S., Ananda, N., Budiawan, I., et al. (2022) · Ultimatics Jurnal Teknik Informatika · doi:10.31937/ti.v14i2.2865 · Cited by 1 · see citing works
“PCA also determines the most significant input variable [27].”
Background
- Authors
- Kenfack, C. S., Mkankam, F. K., Alory, G., Penhoat, Y. D., Hounkonnou, M. N., Vondou, D. A., & Jr., B. G. N.
- Affiliations
- Laboratoire d’Études en Géophysique et Océanographie Spatiales (FR)
- Université d'Abomey-Calavi (BJ)
- Venue
- Terrestrial, Atmospheric and Oceanic Sciences
- Published
- 2017
- Volume
- 28
- Issue
- 3
- Pages
- 395-410
- ISSN
- 1017-0839 (ISSN-L)
- OpenAlex
- W2748480688
- Semantic Scholar
- 063b16b0242467364390427c922f1964b35830ed
- Cited by
- 5
- References
- 70
- Citations by year
- 2024: 1 · 2022: 1 · 2020: 2 · 2018: 1
- FWCI
- 0.56
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- other-oa
- Locations
- Terrestrial Atmospheric and Oceanic Sciences (publishedVersion, other-oa)
- HAL (Le Centre pour la Communication Scientifique Directe) (submittedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Funders
- African Union
- Topics
- Physical Sciences › Environmental Science › Global and Planetary Change › Climate variability and models
- Physical Sciences › Earth and Planetary Sciences › Oceanography › Oceanographic and Atmospheric Processes
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
- Keywords
- sea surface temperature, tropical Atlantic, spatial patterns, principal component analysis, nonlinear principal component analysis, climate variability
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Claims read by deepseek-v4.1-flash under definition version 3 (extract-v3) on 2026-10-16.
Classified by jev-1.13-20260917 (gold-guideline-v0.2) on 2026-10-16.
Cited sources are checked by gpt-6-sol.
Statistics and arithmetic are recomputed, not judged.
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