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Published June 2009 | Published
Journal Article Open

Nonstationary Synchronization of Equatorial QBO with SAO in Observations and a Model

Abstract

It has often been suggested that the period of the quasi-biennial oscillation (QBO) has a tendency to synchronize with the semiannual oscillation (SAO). Apparently the synchronization is better the higher up the observation extends. Using 45 yr of the 40-yr European Centre for Medium-Range Weather Forecasts (ECMWF) Re-Analysis (ERA-40) data of the equatorial stratosphere up to the stratopause, the authors confirm that this synchronization is not just a tendency but a robust phenomenon in the upper stratosphere. A QBO period starts when a westerly SAO (w-SAO) descends from the stratopause to 7 hPa and initiates the westerly phase of the QBO (w-QBO) below. It ends when another w-SAO, a few SAO periods later, descends again to 7 hPa to initiate the next w-QBO. The fact that it is the westerly but not the easterly SAO (e-SAO) that initiates the QBO is also explained by the general easterly bias of the angular momentum in the equatorial stratosphere so that the e-SAO does not create a zero-wind line, unlike the w-SAO. The currently observed average QBO period of 28 months, which is not an integer multiple of SAO periods, is a result of intermittent jumps of the QBO period from four SAO to five SAO periods. The same behavior is also found in the Two and a Half Dimensional Interactive Isentropic Research (THINAIR) model. It is found that the nonstationary behavior in both the observation and model is caused not by the 11-yr solar-cycle forcing but by the incompatibility of the QBO's natural period (determined by its wave forcing) and the "quantized" period determined by the SAO. The wave forcing parameter for the QBO period in the current climate probably lies between four SAO and five SAO periods. If the wave forcing for the QBO is tuned so that its natural period is compatible with the SAO period above (e.g., at 24 or 30 months), nonstationary behavior disappears.

Additional Information

© 2009 American Meteorological Society. (Manuscript received 16 June 2008, in final form 17 November 2008) This work was supported in part by NASA Grants NAG1-1806 and NNG04GN02G to the California Institute of Technology. K. K. Tung's research was supported by NSF Grants ATM 0332364 and ATM 0808375 to University of Washington. We thank A. Ruzmaikin and J. Feynman for useful discussions and K. F. Li for his calculation of the solar cycle variation in solar flux data and helpful suggestions. We also acknowledge help in improving the paper from M. C. Liang, N. Heavens, X. Guo, A. Soto, T. Lee, X. Zhang, P. S. Jiang, Y. C. Chen, D. Yang, and C. D. Camp.

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August 22, 2023
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