The sample size of extraordinary large MJO events is rather small and few have actually discussed why the surface temperature anomalies would be warmer with a more intense MJO event, it may be an artifact in the data. Also, a stronger subtropical jet doesn't necessarily mean it automatically gets warmer here either, it often also favors the storm track being suppressed further to the south w/ appreciable CAA to boot as storm systems go by to our south with a very stout source region lurking over the northern tier and Canada thanks to the cross-polar flow induced by the Pacific/NE Eurasia ridge in the preceding weeks.
My brand new research on the 18 very strong MJO events since 1975
1. Dec-Mar MJO mag 3+: 18 events totaling 213 days (I include all surrounding days with MJO magnitude of 2.5+ as a single event)
Facts about these 18 events at ATL:
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1 MB, 2 B, 5 N, 6 A, 4 MA:
-8, -6, -3, -1, -1, -1, +1, +1, +3, +3, +4, +6, +7, +7, +8, +9, +11, +14
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213 days averaged 2.4 warmer than normal
- The 3 B to MB were in 2/1978, 3/1981, and 1-2/1985. We've had 15 events since and all were near N (5) or A/MA (10)
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2. Dec.-Mar MJO mag 3+ events that included phase 7: 9 events totaling 100 days
Facts about these 9 events at ATL:
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1 MB, 2 N, 2 A, 4 MA: -6, -1, +1, +7, +7, +8, +9, +11, +14
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100 days averaged 5.7 warmer than normal
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3. Dec-Mar MJO mag 3.5+ events: 7 events totaling 119 days
Facts about these 7 events at ATL:
- 1 B, 3 N, 2 A, 1 MA: -6, -1, -1, -1, +7, +7, +11
- 119 days averaged 2.0 warmer than normal
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4. Dec-Mar MJO mag 3.5+ events that included phase 7: 4 events totaling 66 days
Facts about these 4 events at ATL:
- 1 N, 2 A, 1 MA: -1, +7, +7, +11
- 66 days averaged 6.0 warmer than normal
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Conclusion: No matter which way I look at it, although a few have been cold in the SE US and the next one could be cold,
the stats show that having a very strong MJO, itself, in Dec-Mar without considering other indices doesn't favor cold over warm in the SE. If anything, it favors warm over cold. This is consistent with my prior research as well as that from MDA.