Abstract
Intra-Seasonal circulation regimes are identified from a cluster analysis of 5-day mean (pentad) anomaly fields of 850 hPa horizontal winds (u,v)from the ERA-Interim reanalysis for the boreal summer season (120 days starting 01June for the years 1979 - 2018) over the broad Indian region (50 o -100 o E; 5 o S - 35 o N). The anomalies are formed with respect to a parabolic (in time) seasonal cycle computed separately for each year, thus filtering out periods of greater than 240 days. The k-means method was applied in the phase space of the leading 6 (12) principal component modes, which explain 65% (78%) of the space-time variance, yielding k clusters. The degree of clustering is significant when compared to synthetic data sets for any value of k > 3.
The transition matrices for k=4 and k=5 establish that the system is most likely to stay in the same cluster from one pentad to the next, but that the significant transitions (with 95% confidence level using a modified bootstrap method) form a cycle. The similarity between the cycle as depicted from 4 or 5 clusters is established by composites of 850 hPa (u,v,), 200 hPa divergence, 500 hPa vorticity and vertical pressure velocity, and daily rainfall over India: Strong convection (with large positive divergence and vorticity) over the subtropical Indian Ocean, moves to the central Bay of Bengal and over central India, then subsequently to the northern Bay of Bengal and west Bengal, and then further north into the Himalayas. The Indian rainfall composites show a similar cycle. The phases in which strong convection is seen over central and northern India are seen for about 60% of the time for both k=4 and k=5 analyses. However the 4 cluster analysis also shows a preferred transition in which the convection moves equatorward from central India.
The number of complete cycles (including a return to the starting cluster) found in the 40 years of data is 7 in the 4-cluster analysis, while the number of times the system undergoes four (three) consecutive legs of the cycle is 16 (31). Fewer instances of complete cycles are found for 5 clusters (only 3), but sequences of five, four and three consecutive legs occur 10, 11 and 28 times respectively.
Composites of the tropics-wide vertically integrated diabatic heating (estimated from ERA5 reanalyses) reproduce the characteristics of the boreal summer intra-seasonal oscillation, with northwest-to-southeast oriented bands of heating moving northward from the tropical Indian Ocean into the subtropics.
This depiction of the active-break cycle is particularly useful for diagnosing the cycle in short-range forecasts: as long as pentad anomalies can be formed, they can be assigned to one of the observed clusters described in this paper without the need for further time-filtering.