A revised real-time multivariate MJO index

Ping Liu, Qin Zhang, Chidong Zhang, Yuejian Zhu, Marat Khairoutdinov, Hye Mi Kim, Courtney Schumacher, Minghua Zhang

Research output: Contribution to journalArticlepeer-review

41 Scopus citations


This study investigates why OLR plays a small role in the Real-time Multivariate (Madden-Julian oscillation) MJO (RMM) index and how to improve it. The RMM index consists of the first two leading principal components (PCs) of a covariance matrix, which is constructed by combined daily anomalies of OLR and zonal winds at 850 (U850) and 200 hPa (U200) in the tropics after being normalized with their globally averaged standard deviations of 15.3Wm-2, 1.8ms-1, and 4.9ms-1, respectively. This covariance matrix is reasoned mathematically close to a correlation matrix. Both matrices substantially suppress the overall contribution of OLR and make the index more dynamical and nearly transparent to the convective initiation of the MJO. A covariance matrix that does not use normalized anomalies leads to the other extreme where OLR plays a dominant role while U850 and U200 are minor. Numerous tests indicate that a simple scaling of the anomalies (i.e., 2Wm-2, 1ms-1, and 1ms-1) can better balance the roles of OLR and winds. The revised PCs substantially enhance OLR over the eastern Indian and western Pacific Oceans and change it less notably in other locations, while they reduce U850 and U200 only slightly. Comparisons with the original RMM in spatial structure, power spectra, and standard deviation demonstrate improvements of the revised RMM index.

Original languageEnglish
Pages (from-to)627-642
Number of pages16
JournalMonthly Weather Review
Issue number2
StatePublished - 2016

Bibliographical note

Publisher Copyright:
© 2016 American Meteorological Society.


Dive into the research topics of 'A revised real-time multivariate MJO index'. Together they form a unique fingerprint.

Cite this