Descent rate models of the synchronization of the Quasi-Biennial Oscillation by the annual cycle in tropical upwelling
The response of the Quasi-Biennial Oscillation (QBO) to an imposed mean upwelling with a periodic modulation is studied, by modelling the dynamics of the zero wind line at the equator using a class of equations known as ‘descent rate’ models. These are simple mathematical models that capture the ess...
| Main Authors: | , , , |
|---|---|
| Format: | Journal article |
| Published: |
American Meteorological Society
2018
|
| _version_ | 1797091258351484928 |
|---|---|
| author | Rajendran, K Moroz, I Osprey, S Read, P |
| author_facet | Rajendran, K Moroz, I Osprey, S Read, P |
| author_sort | Rajendran, K |
| collection | OXFORD |
| description | The response of the Quasi-Biennial Oscillation (QBO) to an imposed mean upwelling with a periodic modulation is studied, by modelling the dynamics of the zero wind line at the equator using a class of equations known as ‘descent rate’ models. These are simple mathematical models that capture the essence of QBO synchronization by focusing on the dynamics of the height of the zero wind line. A heuristic descent rate model for the zero wind line is described, and is shown to capture many of the synchronization features seen in previous studies of the QBO. Using a simple transformation, it is then demonstrated that the standard Holton-Lindzen model of the QBO can itself be put into the form of a descent rate model if a quadratic velocity profile is assumed below the zero wind line. The resulting non-autonomous ordinary differential equation captures much of the synchronization behaviour observed in the full Holton-Lindzen partial differential equation. The new class of models provides a novel framework within which to understand synchronization of the QBO, and we demonstrate a close relationship between these models and the circle map well-known in the mathematics literature. Finally, we analyse reanalysis datasets to validate some of the predictions of our descent rate models, and find statistically significant evidence for synchronization of the QBO that is consistent with model behaviour. |
| first_indexed | 2024-03-07T03:30:26Z |
| format | Journal article |
| id | oxford-uuid:ba88c4b2-a80e-45c3-bc46-1973faee9350 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:30:26Z |
| publishDate | 2018 |
| publisher | American Meteorological Society |
| record_format | dspace |
| spelling | oxford-uuid:ba88c4b2-a80e-45c3-bc46-1973faee93502022-03-27T05:10:32ZDescent rate models of the synchronization of the Quasi-Biennial Oscillation by the annual cycle in tropical upwellingJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ba88c4b2-a80e-45c3-bc46-1973faee9350Symplectic Elements at OxfordAmerican Meteorological Society2018Rajendran, KMoroz, IOsprey, SRead, PThe response of the Quasi-Biennial Oscillation (QBO) to an imposed mean upwelling with a periodic modulation is studied, by modelling the dynamics of the zero wind line at the equator using a class of equations known as ‘descent rate’ models. These are simple mathematical models that capture the essence of QBO synchronization by focusing on the dynamics of the height of the zero wind line. A heuristic descent rate model for the zero wind line is described, and is shown to capture many of the synchronization features seen in previous studies of the QBO. Using a simple transformation, it is then demonstrated that the standard Holton-Lindzen model of the QBO can itself be put into the form of a descent rate model if a quadratic velocity profile is assumed below the zero wind line. The resulting non-autonomous ordinary differential equation captures much of the synchronization behaviour observed in the full Holton-Lindzen partial differential equation. The new class of models provides a novel framework within which to understand synchronization of the QBO, and we demonstrate a close relationship between these models and the circle map well-known in the mathematics literature. Finally, we analyse reanalysis datasets to validate some of the predictions of our descent rate models, and find statistically significant evidence for synchronization of the QBO that is consistent with model behaviour. |
| spellingShingle | Rajendran, K Moroz, I Osprey, S Read, P Descent rate models of the synchronization of the Quasi-Biennial Oscillation by the annual cycle in tropical upwelling |
| title | Descent rate models of the synchronization of the Quasi-Biennial Oscillation by the annual cycle in tropical upwelling |
| title_full | Descent rate models of the synchronization of the Quasi-Biennial Oscillation by the annual cycle in tropical upwelling |
| title_fullStr | Descent rate models of the synchronization of the Quasi-Biennial Oscillation by the annual cycle in tropical upwelling |
| title_full_unstemmed | Descent rate models of the synchronization of the Quasi-Biennial Oscillation by the annual cycle in tropical upwelling |
| title_short | Descent rate models of the synchronization of the Quasi-Biennial Oscillation by the annual cycle in tropical upwelling |
| title_sort | descent rate models of the synchronization of the quasi biennial oscillation by the annual cycle in tropical upwelling |
| work_keys_str_mv | AT rajendrank descentratemodelsofthesynchronizationofthequasibiennialoscillationbytheannualcycleintropicalupwelling AT morozi descentratemodelsofthesynchronizationofthequasibiennialoscillationbytheannualcycleintropicalupwelling AT ospreys descentratemodelsofthesynchronizationofthequasibiennialoscillationbytheannualcycleintropicalupwelling AT readp descentratemodelsofthesynchronizationofthequasibiennialoscillationbytheannualcycleintropicalupwelling |