This is what I try to address by binning the ENSO events by structure...you can't explain everything because there are so many extemporaneous factors, but it does illuminate the issue somewhat.
Given that a strong la nina is not anticipated this season, here is our running composite of successive la nina events, which remains largely unchanged.
However, the composite is heavily skewed by the very anomalously mild 2011-2012, as composite is much cooler if this season is subtracted.
An examination of cool ENSO events by intensity confirms that the outlier of 2011-2012 heavily skews the dataset of weak to moderate successive la nina events warm.
Cool Neutral:
Weak La Nina:
Moderate La Nina:
Strong La Nina:
Clearly there are significant differences with respect to the pattern across the northern hemisphere that are at least partially governed by the intensity of the cold ENSO event. Thus it is important to focus not necessarily on whether or not the la nina event is successive, or as we will come to learn not even solely on the intensity itself, but rather precisely what structural nuances are attributable to these differences in order to properly diagnose and forecast a la nina season. Indeed, the primary difference as it pertains to North America is with respect to the Aleutian Low and its interaction with the polar fields.
The stark contrast between the 2011-2012 season, which peaked with a marginally moderate ONI at -1.1, and the robust la nina of 2010-2011 with a peak of -1.6 ONI demonstrates this disparity quite well. What is also clear is that intensity, while undoubtedly a contributing factor, is not the only determinant, otherwise the strong la nina season of 2010-2011 would have been much milder for the eastern US than the rather modest la nina event of the 2011-2012 season.
And for those wondering, yes, the 2010-2011 la nina was the first event, and the 2011-2012 episode was the second consecutive. However, the remaining "mild second year la nina in the east" crowd should also ponder why the strong, second year la nina event of 1955-1956, which peaked with an ONI -1.7, evolved in much the same manner as the 2010-2011 event.
Thus far it has been illustrated that while stronger la nina events tend to be milder for the eastern US due to a flat Aleutian ridge and dearth of high latitude blocking, there are some stronger events such as 1955-1956 and 2010-2011 that seem to have a more poleward Aleutian ridge, similar to the weaker la nina composite. Likewise, there are also more modest la nina events, such as 2011-2012, that behave similarly to the stronger ONI composite in that the Aleutian ridge is very flat and the eastern US is very mild. This tends to correlate to a very active Pacific jet that inundates most of N America, save for Alaska, with mild Pacific air masses.