3.1. Winter Weather Types in the SEUS
The spatial distribution of the 850 hPa winds for the six WTs, along with the associated mean precipitation of each, is shown in
Figure 3 and a brief description is given in
Table 1. WT1 represents a broad and shallow trough over central-east US. WT2 is an east-coast trough with precipitation ahead of the trough along the east coast from Florida to the mid-Atlantic coast, but with maximum precipitation over the costal ocean along the Gulf Stream. Behind the trough, northwesterly dry flow takes place over the Midwest and Great Plains. The Gulf coast is also quite dry. WT3 is an off-east-coast trough with maximum precipitation over the ocean, while the land in the Central and Eastern U.S. is dry. WT4 features a ridge over the Mississippi River Valley, with a trough and rainy area in the Atlantic Ocean quite far away from the east coast. The east coast and the Great Lakes area are dry. The southern Great Plains get some rainfall with moisture supplied by the southerly flow from the Gulf coast. In WT5, a trough is over the western Great Plains, with the southwesterly flow bringing forth moisture and precipitation over the Mississippi River Valley. An anticyclone is centered off the east coast of the Carolinas. The east coast is quite dry. In WT6, a deep trough is over the eastern Great Plains and the Mississippi and Missouri river valleys. The strong southwesterly flow east of the trough transports moisture from the Gulf of Mexico and dumps heavy precipitation in the Mississippi River Valley and SEUS.
Comparing the winter WTs to those WTs in March–October, given in [
9], some WTs are similar to or even identical to each other. For instance, the WT2 in
Figure 3 here is quite similar to the WT1 (ECT) in [
9]. WT4 here in
Figure 3 is almost identical to the WT2 (MRVR) in Qian et al. [
9], while WT6 here in
Figure 3 is similar to the WT3 (PT) in Qian et al. [
9]. It is reasonable that some WTs in November–February may share similar features of the WTs in the transitioning seasons of spring and fall, contained in the period of March–October in Qian et al. [
9].
WT5 bears some similarity to the WT6 (
Figure 3), but with a shallower trough in the western Great Plains. WT5 is also somewhat similar to the warm season WT6 (Carolina High, [
9]), but the anticyclone center in the WT5 here is off the Carolina coast, while the warm season WT6 has the Carolina High centered on the coast.
We cannot find similar warm season WTs similar to the winter WT1 and WT3; therefore, they are distinctively winter WTs. In the winter, with the contrast of cold continent and warm ocean, the general circulation favors a quasi-stationary trough along the east coast of the continents. This is manifested by the occurrence of a shallow trough in coastal land (WT1) and a deep off-shore trough (WT3).
It is also worth noting that precipitation is heavy over the Great Lakes (near the northern border of the domain in
Figure 3), as compared to the surrounding lake shore region, in WTs 5 and 6, in which southwesterly flow brings moisture toward the Great Lake region. In the winter, surface temperature over the lakes should be warmer than that over the land. Therefore, moist air and the warm lake surface both work to increase the conditional instability of the atmosphere, thus, enhancing precipitation over the lakes.
3.2. Frequency of the WTs
From 1 November to 28 February of 1948–2022 (120 days per year for 74 years, 8880 days in total), the percentages for the total number of days with WT 1–6 are 21.3%, 11.7%, 13.9%, 19.0%, 17.5% and 16.7%, respectively. The occurrence of the daily WTs through the season is shown in
Figure 4. All six WTs sporadically occur in the winter season, as can be seen from the top panel in
Figure 4. WT1, a distinctive winter WT, occurs quite frequently in every month of the winter, especially in December and January; therefore, it is the most frequent WT in the center of the winter. In the winter, westerly winds are the strongest in the mid-latitude due to the strongest baroclinicity (
Figure 1), which corresponds to the quite zonal flow of WT1. WT2 (ECT), the least frequent winter WT, occurs slightly more in January and early February. As mentioned before, the WT2 (ECT) here is similar to the WT1 (also ECT) in [
9] that frequently occurs in March–April. Therefore, ECT is common in the winter and spring in the SEUS. WT3 (OECT), the second least frequent winter WT, occurs more in January and February. WT4 (MRVR, the second most frequent WT) occurs more frequently in November (especially in the early part of the month) and least frequently in January. A precipitation map of WT4 indicates that it corresponds to fair weather in most of the SEUS, except for the southwest portion of the region. In other words, the fair weather in late fall in the SEUS is due to frequent WT4 (MRVR). WT5 (WPT) is more frequent in the first half of the winter (from mid-November to early January) with a contrast of rainy weather west of the Appalachian and fair weather along the east coast. Finally, WT6 is less frequent before late November and then somewhat evenly distributed after that. Comparing to the warm season WTs with a dominant summer WT (Florida High Zone that occurs about 60% of days in July, see [
9]), there is no single dominant WT in the winter.
Figure 5 shows the persistence of the WTs. For all six WTs, over 50% of their respective occurrences persist for only one day (and progress to other WTs the next day) and 20% persist for 2 days, 5–10% persist for 3 days and very few can persist for 4–12 days. These are short compared to the summer WTs that can persist for up to 20 days [
9]. Winter weather is mostly controlled by eastward propagating baroclinic waves and, therefore, they have short persistence and fast transition/progression from one WT to another.
The progression of the WTs is shown in
Figure 6. WT1 significantly progresses to itself (i.e., persistence, due to its nearly zonal flow) and also likely progresses to WT4 (shown by red bars). Actually, persistence is statistically significant for every WT (red bar). Besides persistence, the preferred progression loop is from WT2 (ECT) to WT3 (OECT), to WT4 (MRVR), to WT5 (WPT), to WT6 (PT) and then back to WT2. The circulation patterns of WTs 2–6 (
Figure 3) indicate that the above progression loop corresponds to the eastward propagation of westerly waves.
We also checked the long-term trend in the 1948–2022 time series for the frequency of each of the WTs in November to February (figure not shown) and did not find a significant trend based on the Mann–Kendall test at the 95% significance level.
3.3. ENSO Impacts on Rainfall in the SEUS in the Winter
After analyzing the frequency and spatial pattern of the WTs, we can then use them to interpret the ENSO impact on the winter precipitation in the SEUS. As can be seen from
Figure 1, the monthly climatology is similar among each month in deep winter months of December to February (DJF); therefore, we will focus on DJF.
As conducted by Ohba and Sugimoto in [
14] for the ENSO impact on precipitation in Japan, we also quantified the dynamic and thermodynamic contributions of ENSO to the winter precipitation in the SEUS. El Niño and La Niña have the opposite impact, but may not be totally asymmetric, so we will check their impact separately. The anomalous precipitation associated with El Niño (denoted by En) can the written as:
K = 6 is the number of the WTs;
and
are the precipitation in El Niño years and the climatology (all year average), respectively;
and
are the precipitation of WT
i (
i = 1 to 6) in El Niño years and climatology, respectively;
and
are the frequency of WT i in El Niño years and climatology, respectively; and
and
are the thermodynamic and dynamic contribution to the anomalous precipitation, respectively, as follows:
The in (2) is resulted from the changes in the basic (environmental) field, such as temperature and moisture. The in (3) is caused by the changes in frequency of the WTs. The thermodynamic and dynamic contribution to precipitation anomalies in La Niña (denoted by Ln) can be calculated similarly, by replacing En by Ln in (1) to (3).
Figure 7 shows the frequencies of the winter WTs in El Niño, La Niña and all years in DJF (
. In El Niño years, the frequencies of WTs 1 and 5 decrease, those of WTs 2, 3 and 6 increase and that of WT4 slightly increases.
Every term in Equations (2) and (3) is calculated and shown in
Figure 8. The thermodynamic contribution (Equation (2)) and dynamic contribution (Equation (3)) to the anomalous precipitation in El Niño years are shown in the middle and right column of
Figure 8, respectively, and the sum of the thermodynamic and dynamic contributions by each WT is shown in the left column. The total contribution of the six WTs is shown in the bottom row.
The dynamic contribution (Equation (3)) is approximately the precipitation pattern shown in
Figure 3 multiplied by the frequency difference between El Niño years and all years (red and gray bars) in
Figure 7. The WTs with a shallow trough (WT1) or a trough of more western location (WT5, WPT) are less frequent, producing negative dynamic contributions from WT1 in the coastal plains and from WT5 in the Mississippi River Valley, respectively (
Figure 8c,o). The WTs with deep troughs and more eastern location (WTs 2, 3, and 6) are more frequent in El Niño years. Therefore, positive dynamic contribution is in Eastern US and Southern US in WT2 and WT6, respectively (
Figure 8f,r). The precipitation over land is very light in WT3 (
Figure 3), so the dynamic contribution to precipitation from WT3 is also very small (
Figure 8i). The frequency difference of WT4 is small (
Figure 7); thus, the dynamic contribution to anomalous precipitation is small (
Figure 8l). Summing up dynamic contribution from all six WTs, the total dynamic contribution to the anomalous precipitation (
Figure 8u) features a dipolar pattern of a negative anomaly in the Mississippi River valley versus a positive precipitation anomaly in the east coast states.
The thermodynamic contribution is quite different among the WTs. For each WT, the thermodynamic contribution is also quite different from the corresponding dynamic one. The thermodynamic contribution of WT1 is the negative precipitation anomaly west of the Appalachian Mountain. Therefore, the total contribution of WT1 (
Figure 8a) is the southwest–northeast-oriented area of negative anomalous precipitation from the Gulf coast to the Northeast U.S. The thermodynamic contribution of WT2, 3 and 4 is small, except for some localized areas in Florida and Texas. The thermodynamic contribution of WT5 is positive anomalous precipitation in the Gulf coast and Mississippi River Valley region (implying wetter air in El Niño years,
Figure 8n), with the opposite sign to the dynamic contribution (
Figure 8o). The latter is stronger than the former so that the total contribution of WT5 is the negative anomalous precipitation, extending from northeast Texas to southwest Pennsylvania (
Figure 8m). The thermodynamic contribution of WT6 is strong (
Figure 8q), with positive anomaly in the Gulf and east coast and negative anomaly in the Ohio River Valley. The combination of thermodynamic and dynamic contributions makes the total contribution of WT6 (
Figure 8p) with positive precipitation in all south and east coastal states and negative precipitation anomaly within the Ohio River Valley. The pattern of the total contribution of WT6 (
Figure 8p) is quite similar to the total El Niño impact shown in
Figure 8s, indicating that most of the precipitation anomaly is contributed by WT6. WT2 increased the positive precipitation anomaly in the east coast, and WT1 and WT5 enhanced the negative precipitation anomaly in the Ohio River Valley.
The relative role of the thermodynamic and dynamic contribution to the precipitation anomaly, in terms of percentage, is location dependent, as seen in
Figure 8s–u. For some places, such as Louisiana, the two contributions are opposite in sign. For the east coast, the two contributions both increase precipitation with slightly stronger contribution from the thermodynamic term. In the Gulf coast, the thermodynamic contribution dominates over the dynamic one, especially in the area close to the coast. In the Ohio River valley, both contributions are negative, therefore, reinforcing each other, but the thermodynamic contribution looks stronger than the dynamic one.
The La Niña impact on the precipitation in the SEUS is shown in
Figure 9. The patterns are quite similar to the El Niño impact shown in
Figure 8, but with opposite signs. However, there are some asymmetries between the El Niño and La Niña impacts. For example, the dynamic contribution of WT1 is smaller (
Figure 9c), the thermodynamic contributions of WT5 seems weaker and less homogeneous (
Figure 9n) and both the thermodynamic and dynamic contribution of WT6 are weaker in La Niña than those in El Niño. The area of positive precipitation anomaly in the Ohio River Valley is larger in La Niña (
Figure 9s) than that in El Niño (
Figure 8s).
The current result is consistent with that of Nieto Ferreira et al. [
15] who found stronger mid-latitude cyclones and more intense precipitation over a large area in the SEUS during El Niño than La Niña and normal years. In contrast, negative rainfall anomalies are found in the east coast and Gulf coast areas in the SEUS in La Niña years.