Statistical inversion of South Atlantic circulation in an abyssal neutral density layer
This paper introduces a Bayesian inversion approach to estimating steady state ocean circulation and tracer fields. It is based on a quasi-horizontal flow model and a PDE solver for the forward problem of computing solutions to the tracer field advection-diffusion equations. A typical feature of exi...
| Main Authors: | , , , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2005
|
| _version_ | 1797096782794063872 |
|---|---|
| author | McKeague, I Nicholls, G Speer, K Herbei, R |
| author_facet | McKeague, I Nicholls, G Speer, K Herbei, R |
| author_sort | McKeague, I |
| collection | OXFORD |
| description | This paper introduces a Bayesian inversion approach to estimating steady state ocean circulation and tracer fields. It is based on a quasi-horizontal flow model and a PDE solver for the forward problem of computing solutions to the tracer field advection-diffusion equations. A typical feature of existing ocean circulation inverse methods is a preprocessing stage in which the tracer data are interpolated over a regular grid and the interpolation error is ignored in the subsequent inversion. Our approach only uses interpolated data at those grid points that have neighboring hydrographic stations. By exploiting physically-based models in an integrated fashion, the method provides a statistically unified inversion and tracer field reconstruction with minimal data smoothing. Solving the problem consists of finding information about the circulation and tracer fields in the presence of a number of assumptions (prior information); the resulting posterior probability distribution summarizes what we can know about these fields. We develop a Markov chain Monte Carlo simulation procedure to extract information from the (analytically intractable) posterior distribution of all the parameters in the model; uncertainty about the "solution" is represented by variation in the output of the simulation runs. Our approach is aimed at finding the time-averaged quasi-horizontal flow and tracer fields for an abyssal neutral density layer in the South Atlantic. |
| first_indexed | 2024-03-07T04:46:28Z |
| format | Journal article |
| id | oxford-uuid:d378655f-7f75-419c-93ef-cc8dca3ae266 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T04:46:28Z |
| publishDate | 2005 |
| record_format | dspace |
| spelling | oxford-uuid:d378655f-7f75-419c-93ef-cc8dca3ae2662022-03-27T08:11:18ZStatistical inversion of South Atlantic circulation in an abyssal neutral density layerJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d378655f-7f75-419c-93ef-cc8dca3ae266EnglishSymplectic Elements at Oxford2005McKeague, INicholls, GSpeer, KHerbei, RThis paper introduces a Bayesian inversion approach to estimating steady state ocean circulation and tracer fields. It is based on a quasi-horizontal flow model and a PDE solver for the forward problem of computing solutions to the tracer field advection-diffusion equations. A typical feature of existing ocean circulation inverse methods is a preprocessing stage in which the tracer data are interpolated over a regular grid and the interpolation error is ignored in the subsequent inversion. Our approach only uses interpolated data at those grid points that have neighboring hydrographic stations. By exploiting physically-based models in an integrated fashion, the method provides a statistically unified inversion and tracer field reconstruction with minimal data smoothing. Solving the problem consists of finding information about the circulation and tracer fields in the presence of a number of assumptions (prior information); the resulting posterior probability distribution summarizes what we can know about these fields. We develop a Markov chain Monte Carlo simulation procedure to extract information from the (analytically intractable) posterior distribution of all the parameters in the model; uncertainty about the "solution" is represented by variation in the output of the simulation runs. Our approach is aimed at finding the time-averaged quasi-horizontal flow and tracer fields for an abyssal neutral density layer in the South Atlantic. |
| spellingShingle | McKeague, I Nicholls, G Speer, K Herbei, R Statistical inversion of South Atlantic circulation in an abyssal neutral density layer |
| title | Statistical inversion of South Atlantic circulation in an abyssal neutral density layer |
| title_full | Statistical inversion of South Atlantic circulation in an abyssal neutral density layer |
| title_fullStr | Statistical inversion of South Atlantic circulation in an abyssal neutral density layer |
| title_full_unstemmed | Statistical inversion of South Atlantic circulation in an abyssal neutral density layer |
| title_short | Statistical inversion of South Atlantic circulation in an abyssal neutral density layer |
| title_sort | statistical inversion of south atlantic circulation in an abyssal neutral density layer |
| work_keys_str_mv | AT mckeaguei statisticalinversionofsouthatlanticcirculationinanabyssalneutraldensitylayer AT nichollsg statisticalinversionofsouthatlanticcirculationinanabyssalneutraldensitylayer AT speerk statisticalinversionofsouthatlanticcirculationinanabyssalneutraldensitylayer AT herbeir statisticalinversionofsouthatlanticcirculationinanabyssalneutraldensitylayer |