An Investigation of the Differences between the North American Dipole and North Atlantic Oscillation

This study examines the differences between the North American dipole (NAD) and the North American Oscillation (NAO) in terms of their spatial structure, temporal variations, and climate impacts. The results indicate that the sea level pressure anomalies associated with the NAD are located in more western and southern areas than those associated with the NAO, and that the NAD has its own temporal variability. In addition, the NAD has a greater influence on sea surface temperature (SST) and precipitation anomalies in the northern tropical Atlantic (NTA) than the NAO does in the North Atlantic. In the tropical Pacific, the NAD tends to be more effective in forcing SST warming during spring in the northeastern subtropical Pacific (NESP). This can extend equatorward to reach the equatorial central Pacific in the autumn, finally leading to a central Pacific (CP)-type El Niño event. In contrast, the NAO induces only weak SST warming over the NESP, so that a CP-type El Niño event does not occur. Additional analysis indicates that the influence of the NAO can pass to the tropical Pacific only when the NAD and NAO have the same sign, suggesting that the NAD may serve as an important bridge linking the NAO to El Niño–Southern Oscillation (ENSO).


Introduction
The North Atlantic Oscillation (NAO) is the dominant mode of atmospheric circulation variability over the North Atlantic sector, and it has long been recognized as a large-scale south-north seesaw in atmosphere pressure, between the Azores High in the South and the Icelandic Low in the North. A positive (negative) NAO indicates that the intensity of both the Icelandic Low and the Azores High are simultaneously enhanced (weakened) [1][2][3][4][5][6]. The NAO occurs throughout the year, but it is most pronounced during the northern winter [7,8]. A number of previous studies have demonstrated that the NAO has a strong influence on regional weather and climate variation over the northern hemisphere. For instance, the NAO not only directly affects regional distributions of surface temperature and precipitation over the North Atlantic and its adjacent land areas, including North America, North

Data and Methodology
The datasets used in this study were the monthly mean SLP, surface temperature, and surface wind obtained from the National Centers for Environmental Prediction-National Center for Atmospheric Research (NCEP−NCAR) reanalysis datasets, with a horizontal resolution of 2.5 • × 2.5 • [33]. The precipitation dataset was taken from the NOAA Climate Prediction Center (CPC) Merged Analysis of Precipitation (CMAP), which produces a monthly analysis of global precipitation in which gauge observations are merged with precipitation estimates from several satellite-based algorithms (infrared and microwave) at a spatial resolution of 2.5 • × 2.5 • [34]. The monthly mean SST data were extracted from the National Oceanic and Atmospheric Administration (NOAA) Extended Reconstructed SST, version 3b (ERSSTv3b) dataset [35]. The ERSSTv3b dataset has a 2 • × 2 • horizontal resolution and runs from 1854 to the present.
The NAO index (NAOI) used in this paper is defined as the difference between 35 • N and 65 • N of the normalized monthly SLP, zonally averaged over the North Atlantic region from 80 • W to 30 • E [36]. Following Ding et al. [27], we define the NAD index (NADI) as the difference between the normalized (i.e., subtracting the mean and then dividing by the standard deviation) SLP anomalies over the southern (80-36 • W, 4-30 • N) and northern (90-40 • W, 49-79 • N) domains which represent their respective poles (southern minus northern pole). Figure 1 shows the seasonal variations in the Atmosphere 2019, 10, 58 3 of 13 standard deviations of the monthly NADI (a) and NAOI (b). Note that both the NAD and NAO exhibit tight phase-locking characteristics. They both attain the maximum variance from December to March (DJFM), which is consistent with the results of previous studies [8,37]. Thus, we used the extended winter (DJFM) averaged NADI (NAOI) when the NAD (NAO) is most active, instead of the traditional winter (DJF) averaged NADI (NAOI). Our calculation also indicated that the difference of the results between the two NADI (NAOI) is very small (not shown).
We analyzed the period 1979−2016, because SST, surface wind, and precipitation were all available for this span. The statistical techniques used in this study were correlation, partial correlation, and composite analysis.
Atmosphere 2019, 10, x FOR PEER REVIEW 3 of 14 their respective poles (southern minus northern pole). Figure 1 shows the seasonal variations in the standard deviations of the monthly NADI (a) and NAOI (b). Note that both the NAD and NAO exhibit tight phase-locking characteristics. They both attain the maximum variance from December to March (DJFM), which is consistent with the results of previous studies [8,37]. Thus, we used the extended winter (DJFM) averaged NADI (NAOI) when the NAD (NAO) is most active, instead of the traditional winter (DJF) averaged NADI (NAOI). Our calculation also indicated that the difference of the results between the two NADI (NAOI) is very small (not shown). We analyzed the period 1979−2016, because SST, surface wind, and precipitation were all available for this span. The statistical techniques used in this study were correlation, partial correlation, and composite analysis.

Results
We will first examine the differences in the spatial structure of the NAD and NAO. Figure 2 shows the correlation between the spatial pattern of the DJFM-averaged SLP anomaly and the simultaneous NADI and NAOI. We note that although the SLP patterns associated with the NAD and NAO overlap in some regions of North America and the North Atlantic, they also show some differences. The NAD-related SLP anomalies are located mainly between northeastern North America and western tropical North Atlantic, whereas the NAO-related SLP anomalies are located mainly across most of northwestern Europe, subtropical North Atlantic, and North Africa. Moreover, the two maximum SLP anomaly centers of the NAD are more west and south than those associated with the NAO.

Results
We will first examine the differences in the spatial structure of the NAD and NAO. Figure 2 shows the correlation between the spatial pattern of the DJFM-averaged SLP anomaly and the simultaneous NADI and NAOI. We note that although the SLP patterns associated with the NAD and NAO overlap in some regions of North America and the North Atlantic, they also show some differences. The NAD-related SLP anomalies are located mainly between northeastern North America and western tropical North Atlantic, whereas the NAO-related SLP anomalies are located mainly across most of northwestern Europe, subtropical North Atlantic, and North Africa. Moreover, the two maximum SLP anomaly centers of the NAD are more west and south than those associated with the NAO.
We also performed empirical orthogonal function (EOF) analysis [3] of the DJFM-averaged SLP anomalies from the western tropical North Atlantic to North America (110-30 • W, 0-80 • N) after linearly removing the effects of the NAO and El Niño-Southern Oscillation (ENSO) (represented by the simultaneous Niño3.4 SST; Figure 1b). The leading EOF mode (EOF1; 25.7% explained variance) closely resembles the NAD pattern, and its positive and negative loading centers correspond exactly to the southern and northern poles of the NAD, respectively. These results suggest that, although the NAO and ENSO signals are removed, the NAD-like pattern still persists.
Next, we compare the temporal variations of the NAD and NAO. Figure 2c presents the normalized time series of the DJFM-averaged NADI (blue line) and NAOI (red line) for the period 1979-2016. The correlation coefficient between the NADI and NAOI is 0.67 (at the 99.9% confidence level). However, although the NADI is strongly correlated to the NAOI, the NAD also has its own variability independent of the NAO. To demonstrate this, we classify all NAD and NAO events into the strongly positive and negative events during the period 1979-2016. A strongly positive or strongly negative NAD (NAO) event is defined as a year when its index was greater than 1.0 with positive standard deviation (>1.0) or less than 1.0 with negative standard deviation (<−1.0), while years that fell outside these criteria were labelled 'no NAO' or 'no NAD' (Table 1). Only four positive NAD events (1988, 1989, 2006, and 2013) and three negative NAD events (2009, 2010, and 2012) occurred simultaneously with strong NAO events. The remaining three positive (1985, 1990, and 2002) and four negative (1980, 1982, 1997, and 2004) NAD events were not accompanied by strong NAO events. In particular, 2002 was a year in which the NADI was 1.2 (one of the strongly positive NAD events), while the NAOI was −0.6. In addition, 1982 was a typical year in which a strongly negative NAD event was accompanied by a strongly positive NAO event (the NADI and NAOI were −1.7 and 1.0, respectively). This result indicates that the fluctuations of the NAD are not completely consistent with those of the NAO, and that the NAD has its own temporal variability that is independent of the NAO. We also performed empirical orthogonal function (EOF) analysis [3] of the DJFM-averaged SLP anomalies from the western tropical North Atlantic to North America (110-30° W, 0-80° N) after linearly removing the effects of the NAO and El Niño-Southern Oscillation (ENSO) (represented by the simultaneous Niño3.4 SST; Figure 1b). The leading EOF mode (EOF1; 25.7% explained variance) closely resembles the NAD pattern, and its positive and negative loading centers correspond exactly to the southern and northern poles of the NAD, respectively. These results suggest that, although the NAO and ENSO signals are removed, the NAD-like pattern still persists.
Next, we compare the temporal variations of the NAD and NAO. Figure 2c presents the normalized time series of the DJFM-averaged NADI (blue line) and NAOI (red line) for the period 1979-2016. The correlation coefficient between the NADI and NAOI is 0.67 (at the 99.9% confidence level). However, although the NADI is strongly correlated to the NAOI, the NAD also has its own variability independent of the NAO. To demonstrate this, we classify all NAD and NAO events into The above analyses show that there are differences in the spatial patterns and temporal variability of the NAD and NAO, and these differences may be the cause of their differing climatic impacts. Consequently, we next consider the seasonal evolution of climatic impacts. The maps showing the correlation of the three-month-averaged SST, surface wind, and precipitation anomalies with the NADI and NAOI for the December-February (DJF) concurrent with the two indices, and several lead times (March-May: MAM, June-August: JJA, and September-November: SON) are shown in Figure 3. Note that although there are some similarities among the correlation maps, the differences are also obvious. Table 1. Classification of years in which positive (negative) NAD events are or are not simultaneous with a positive (negative) NAO event during the period 1979-2016 (see text for the definition of the NAD and NAO events).

Type
Positive NAD No NAD Negative NAD Positive NAO 1988, 1989, 2006, 20131991, 1993, 1994, 2007, 2011, 2014, 20151982 Negative NAO -1979, 1984, 1986, 1995, 20052009, 2010No NAO 1985, 1990-1980 Atmosphere 2019, 10, x FOR PEER REVIEW 6 of 14 In the North Atlantic, both the NAD and NAO can force a tripole-like SST anomaly pattern by changing the latent heat flux in winter (DJF; Figure 3a,e) and spring (MAM; Figure 3b,f). However, there are some differences between their related tripole-like SST anomaly patterns. For example, the NAD has more significant correlations in the western North Atlantic than does the NAO. In particular, the major difference is in the NTA region (indicated by the red box in Figure 3b), where In the North Atlantic, both the NAD and NAO can force a tripole-like SST anomaly pattern by changing the latent heat flux in winter (DJF; Figure 3a,e) and spring (MAM; Figure 3b,f). However, there are some differences between their related tripole-like SST anomaly patterns. For example, the NAD has more significant correlations in the western North Atlantic than does the NAO. In particular, the major difference is in the NTA region (indicated by the red box in Figure 3b), where the influence of the NAO on the NTA region is much weaker than that of the NAD. The correlation coefficient (R) between the NADI and the following MAM-averaged NTA SST is −0.64 (significant at the 99.9% confidence level), which is higher than that between the NAOI and the following MAM-averaged NTA SST (R = −0.39; significant at the 95% confidence level; see also Figure 4a). As Ding et al. [26] mentioned, because the southern pole of the NAD is located much farther west and south (i.e., towards the NTA region) than the NAO, the NAD-related surface wind anomalies extend farther to the west and southwest towards the NTA region than those related to the NAO. Therefore, in contrast to the NAO, the NAD has a closer relationship with the NTA SST anomalies.
Atmosphere 2019, 10, x FOR PEER REVIEW 7 of 14 extend farther to the west and southwest towards the NTA region than those related to the NAO. Therefore, in contrast to the NAO, the NAD has a closer relationship with the NTA SST anomalies. Ham et al. [31] reported that the NTA SST anomalies can induce precipitation anomalies over the equatorial Atlantic during spring. We note that, consistent with the SST anomalies, the negative precipitation anomalies associated with the NAD are also more significant than those associated with the NAO in the NTA region during spring. Both the NTA SST anomalies associated with the NAD and NAO can persist from spring to summer through the WES feedback [32]. We note that the NAD also has a higher correlation with the NTA SST anomalies and precipitation anomalies during summer than the NAO (the JJA season; Figure 3c,g).
To isolate the impact of the NAD from the NAO, we calculated the partial correlation of the three-month-averaged SST, surface wind, and precipitation anomalies with the DJFM-averaged NADI by linearly removing the contemporaneous NAOI (Figure 5a-d; compare with those in Figure  3a-d). For three variables of A, B and C, the partial correlation equation is defined as follows: where and are the simple correlations between variables A and B and variables A and C, respectively. Likewise, is the simple correlation between B and C. , is the correlation between two variables, A and B, after removing the effect of another variable, C. Variables A, B, and C in this place can be taken as NADI, SST (or surface wind, precipitation) anomalies, and NAOI.
With the removal of the NAO effect, the tripole-like SST anomaly pattern and precipitation anomalies associated with the NAD still exist in the North Atlantic during spring and summer. In contrast, with the NAD effect removed (Figure 5e-h), the tripole-like SST anomaly pattern associated with the NAO obviously weakens, especially in the NTA region, where significant SST and precipitation anomalies become indistinct. Therefore, the NAD tends to have a greater Ham et al. [31] reported that the NTA SST anomalies can induce precipitation anomalies over the equatorial Atlantic during spring. We note that, consistent with the SST anomalies, the negative precipitation anomalies associated with the NAD are also more significant than those associated with the NAO in the NTA region during spring. Both the NTA SST anomalies associated with the NAD and NAO can persist from spring to summer through the WES feedback [32]. We note that the NAD also has a higher correlation with the NTA SST anomalies and precipitation anomalies during summer than the NAO (the JJA season; Figure 3c,g).
To isolate the impact of the NAD from the NAO, we calculated the partial correlation of the three-month-averaged SST, surface wind, and precipitation anomalies with the DJFM-averaged NADI by linearly removing the contemporaneous NAOI (Figure 5a-d; compare with those in Figure 3a-d).
For three variables of A, B and C, the partial correlation equation is defined as follows: where R AB and R AC are the simple correlations between variables A and B and variables A and C, respectively. Likewise, R BC is the simple correlation between B and C. R AB,C is the correlation between Atmosphere 2019, 10, 58 7 of 13 two variables, A and B, after removing the effect of another variable, C. Variables A, B, and C in this place can be taken as NADI, SST (or surface wind, precipitation) anomalies, and NAOI. With the removal of the NAO effect, the tripole-like SST anomaly pattern and precipitation anomalies associated with the NAD still exist in the North Atlantic during spring and summer. In contrast, with the NAD effect removed (Figure 5e-h), the tripole-like SST anomaly pattern associated with the NAO obviously weakens, especially in the NTA region, where significant SST and precipitation anomalies become indistinct. Therefore, the NAD tends to have a greater influence on climate variability in the NTA region than does the NAO. In addition to the differences in the North Atlantic presented above, there are also some differences in the climatic effects of the NAD and NAO in the tropical Pacific. During spring (Figure  3b), significant positive SST anomalies associated with the NAD develop in the northeastern subtropical Pacific (NESP; 160-110° W, 10-40° N; indicated by the green box in Figure 3b) region. The NESP SST warming associated with the NAD extends equatorward during summer (Figure 3c), and is associated with significant positive precipitation anomalies in the central-eastern equatorial In addition to the differences in the North Atlantic presented above, there are also some differences in the climatic effects of the NAD and NAO in the tropical Pacific. During spring (Figure 3b), significant positive SST anomalies associated with the NAD develop in the northeastern subtropical Pacific (NESP; 160-110 • W, 10-40 • N; indicated by the green box in Figure 3b) region. The NESP SST warming associated with the NAD extends equatorward during summer (Figure 3c), and is associated with significant positive precipitation anomalies in the central-eastern equatorial Pacific. During autumn (SON; Figure 3d,h), the SST warming associated with the NAD reaches the equatorial central Pacific, and a marked CP-type El Niño pattern is established. In contrast, weak SST anomalies (not significant at the 90% confidence level) associated with the NAO occur in the NESP region during spring. These weak SST anomalies associated with the NAO do not show obvious equatorward propagation during summer (Figure 3c,g). As a result, the CP-type El Niño pattern associated with the NAO is indistinct during the following winter. Therefore, we conclude that in contrast to the NAO, the NAD may also exert a stronger effect on the tropical Pacific.
There are two possible reasons why the NAD can significantly impact the tropical Pacific. Compared with the NAO, the southern pole of the NAD is much closer to the tropical Pacific. Thus, the NAD has a stronger effect on the NESP SST warming during spring via its associated concurrent anticyclonic flow. On the other hand, the above results have shown that the NAD influences the NTA SST more than the NAO. According to Ham et al. [31], the NTA SST cooling during spring can induce an anticyclonic flow over the NESP region as a Gill-type Rossby wave [38] response. Therefore, the NAD can exert a stronger effect on the NESP SST warming by influencing the NTA SST. Finally, in contrast to the NAO, the NAD may play a more important role in influencing the occurrence of CP-type El Niño, owing to its effectiveness at forcing the NESP SST warming.
With the removal of the NAO effect, there are some reductions in the correlations of SST, surface wind, and precipitation anomalies with the residual NADI in the tropical Pacific (Figure 5a-d), but the NESP SST warming associated with the NAD is still significant during spring (Figure 5c). The CP-type El Niño pattern associated with the NAD can also be seen in the tropical Pacific during the following autumn. In contrast, after removing the effect of the NAD (Figure 5e-h), significant SST and precipitation anomalies associated with the NAO almost disappear in the tropical North Pacific. These results support the idea that the NAD has an important effect on climate change in the North Atlantic as well as the tropical Pacific.
To further examine the differences between the NAD and NAO, we classified the NAD and NAO events into the following three groups: 1) positive (negative) NAD events that are not accompanied by a positive (negative) NAO event (hereafter positive NAD only or negative NAD only); 2) positive (negative) NAO events that are not accompanied by a positive (negative) NAD event (hereafter positive NAO only or negative NAO only); and 3) positive (negative) NAD events that are accompanied by a positive (negative) NAO event (hereafter positive NAD-NAO or negative NAD-NAO; as also listed in Table 1). Figure 6 shows the composite differences in the DJFM-averaged SLP anomalies between only the positive and negative NAD events (Table 1; Figure 6a), between only the positive and negative NAO events (Figure 6b), and between only the positive and negative NAD-NAO (Figure 6c). For NAD only, we can see that the NAD is associated with a dipole-like pattern of SLP anomalies in the western tropical North Atlantic and northeastern America (Figure 2a). In contrast, for NAO only, the dipole-like SLP anomalies structure associated with the NAO has large amplitudes located mainly in northwestern Africa and northwestern Europe, and the dipole centers of the NAO are shifted more to the north and east in relation to the NAD's centers. For NAD-NAO, we note that the significant SLP anomalies extend more to the west and south, and cover from the western tropical Atlantic to North America. The above analysis further demonstrates that the SLP anomalies associated with the NAO alone, and those associated with the NAD alone, are distinct. We next examined their climatic impacts by using the composite differences of the three-month-averaged SST, surface wind, and precipitation anomalies for the three groups for DJF, MAM, JJA, and SON (Figure 7). For NAD only, the tripole-like SST pattern during spring in the North Atlantic, and the CP-type El Niño pattern during autumn in the tropical Pacific, remain evident. However, for NAO only, the SST and precipitation anomalies in the North Atlantic and North Pacific are significantly weaker than those for NAD only. These results are consistent with the above analysis (Figure 3a), which suggests that the NAD may exert a stronger climatic effect on the NTA region and the tropical Pacific than the NAO. In addition, we note that the SST, surface wind, and precipitation anomalies in NAD-NAO are closely comparable to the NAD-only scenario, and the large difference between the two groups lies mainly in the tropical Pacific. Unlike the NAD-only class, the NAD-NAO group has stronger SST and precipitation anomalies in the tropical Pacific. These results indicate that the NAO alone has a very weak impact on the tropical Pacific, and the influence on the tropical Pacific will be strengthened when it coincides with the NAD. We next examined their climatic impacts by using the composite differences of the three-month-averaged SST, surface wind, and precipitation anomalies for the three groups for DJF, MAM, JJA, and SON (Figure 7). For NAD only, the tripole-like SST pattern during spring in the North Atlantic, and the CP-type El Niño pattern during autumn in the tropical Pacific, remain evident. However, for NAO only, the SST and precipitation anomalies in the North Atlantic and North Pacific are significantly weaker than those for NAD only. These results are consistent with the above analysis (Figure 3a), which suggests that the NAD may exert a stronger climatic effect on the NTA region and the tropical Pacific than the NAO. In addition, we note that the SST, surface wind, and precipitation anomalies in NAD-NAO are closely comparable to the NAD-only scenario, and the large difference between the two groups lies mainly in the tropical Pacific. Unlike the NAD-only class, the NAD-NAO group has stronger SST and precipitation anomalies in the tropical Pacific. These results indicate that the NAO alone has a very weak impact on the tropical Pacific, and the influence on the tropical Pacific will be strengthened when it coincides with the NAD.
Previous studies indicated that the ENSO had no significant relationship with the NAO; the correlation between them is very low [39,40]. Although some studies found that there are more occurrences of negative NAD in the late winter during El Niño events, and of positive NAO in La Niña events, there are still many uncertainties about the relationship between them [41][42][43]. However, we investigated the joint relationship between the NAD, the NAO, and ENSO through a scatterplot between the DJFM-averaged NADI and simultaneous NAOI, for the cases where they have the same (Figure 8a) or opposite (Figure 8b) sign. We note that the correlation between the NAO and Niño3.4 indices is 0.33 (significant at the 90% confidence level for the 28 events) when the NADI and the NAOI have the same sign (Figure 8a), whereas the correlation is −0.32 (not significant at the 90% confidence level for the 9 events) when the NADI and the NAOI have the opposite sign (Figure 8b). Therefore, the NAD may serve as a bridge linking the NAO to ENSO, suggesting that we should consider the role of the NAD while examining the NAO's effect on the following ENSO events. Previous studies indicated that the ENSO had no significant relationship with the NAO; the correlation between them is very low [39,40]. Although some studies found that there are more occurrences of negative NAD in the late winter during El Niño events, and of positive NAO in La Niña events, there are still many uncertainties about the relationship between them [41][42][43]. However, we investigated the joint relationship between the NAD, the NAO, and ENSO through a scatterplot between the DJFM-averaged NADI and simultaneous NAOI, for the cases where they have the same (Figure 8a) or opposite (Figure 8b) sign. We note that the correlation between the NAO and Niño3.4 indices is 0.33 (significant at the 90% confidence level for the 28 events) when the NADI and the NAOI have the same sign (Figure 8a), whereas the correlation is −0.32 (not significant at the 90% confidence level for the 9 events) when the NADI and the NAOI have the opposite sign (Figure 8b). Therefore, the NAD may serve as a bridge linking the NAO to ENSO, suggesting that we should consider the role of the NAD while examining the NAO's effect on the following ENSO events.

Summary and Discussion
The focus of this study was to investigate in detail the differences between the NAD and NAO. Our results show that the NAD and NAO have differences in their spatial structures, temporal variations, and climatic impacts. The NAD-related SLP anomalies are located mainly from northeastern North America to the western tropical North Atlantic, whereas the NAO-related SLP anomalies are located mainly across most of the northwestern Europe, subtropical North Atlantic, and North Africa. The SLP anomalies associated with the NAD are located more to the west and south than those associated with the NAO. In addition, we found that the NAD has its own temporal variability which is independent of the NAO, and the occurrence of strong NAD events is not always accompanied by simultaneous strong NAO events.
The differences in spatial pattern and temporal variability between the NAD and NAO may result in their different climate impacts. In the North Atlantic, because the NAD is located much farther west and south towards the NTA region than the NAO, the wintertime NAD has a stronger effect on the SST and precipitation anomalies in the NTA region during the following spring and summer. In the tropical Pacific, the wintertime NAD can be more effective in forcing the significant positive SST anomalies in the NESP region during spring, because the NAD is much closer to the tropical Pacific. The SST warming in the NESP region during spring associated with the NAD can extend equatorward in the following seasons and reach the equatorial central Pacific, finally leading to a marked CP-type El Niño pattern during autumn. In contrast, the weaker SST anomalies associated with the NAO that occur in the NESP region during spring do not show obvious equatorward propagation, and thus the CP-type El Niño pattern in the following autumn, associated with the NAO, does not develop. As a result, compared with the NAO, the NAD tends to be more conducive to the occurrence of the CP-type El Niño.
We also found that the influence of the NAO can pass to the tropical Pacific only when the NAD and NAO have the same sign, indicating that the NAD may serve as an important bridge linking the NAO to ENSO. Exploring the joint influences of the NAD and NAO on ENSO may help us to better understand the relationship between the NAO and ENSO, and contribute to the prediction of ENSO. In addition, the dynamical explanation for the NAD remains unexplained.

Summary and Discussion
The focus of this study was to investigate in detail the differences between the NAD and NAO. Our results show that the NAD and NAO have differences in their spatial structures, temporal variations, and climatic impacts. The NAD-related SLP anomalies are located mainly from northeastern North America to the western tropical North Atlantic, whereas the NAO-related SLP anomalies are located mainly across most of the northwestern Europe, subtropical North Atlantic, and North Africa. The SLP anomalies associated with the NAD are located more to the west and south than those associated with the NAO. In addition, we found that the NAD has its own temporal variability which is independent of the NAO, and the occurrence of strong NAD events is not always accompanied by simultaneous strong NAO events.
The differences in spatial pattern and temporal variability between the NAD and NAO may result in their different climate impacts. In the North Atlantic, because the NAD is located much farther west and south towards the NTA region than the NAO, the wintertime NAD has a stronger effect on the SST and precipitation anomalies in the NTA region during the following spring and summer. In the tropical Pacific, the wintertime NAD can be more effective in forcing the significant positive SST anomalies in the NESP region during spring, because the NAD is much closer to the tropical Pacific. The SST warming in the NESP region during spring associated with the NAD can extend equatorward in the following seasons and reach the equatorial central Pacific, finally leading to a marked CP-type El Niño pattern during autumn. In contrast, the weaker SST anomalies associated with the NAO that occur in the NESP region during spring do not show obvious equatorward propagation, and thus the CP-type El Niño pattern in the following autumn, associated with the NAO, does not develop. As a result, compared with the NAO, the NAD tends to be more conducive to the occurrence of the CP-type El Niño.
We also found that the influence of the NAO can pass to the tropical Pacific only when the NAD and NAO have the same sign, indicating that the NAD may serve as an important bridge linking the NAO to ENSO. Exploring the joint influences of the NAD and NAO on ENSO may help us to better understand the relationship between the NAO and ENSO, and contribute to the prediction of ENSO. In addition, the dynamical explanation for the NAD remains unexplained. Vallis et al. [44] indicated that the NAO is associated with variations in the midlatitude circulation caused by fluctuating stirring from baroclinic eddies, but whether the NAD is caused by the baroclinic eddies is not clear. Further work, involving detailed analysis, will be required in this regard.