| 1 | = PDAF_local_weights = |
| 2 | |
| 3 | This page documents the routine `PDAF_local_weights` of PDAF. |
| 4 | |
| 5 | The routine is used for localization in the analysis step of a filter and computes weights according to the specified distances and the settings for the localizing function. The routine can be called in [wiki:prodRinvA_l_pdaf prodRinvA_l_pdaf] in the filters LESTKF, LETKF, and LSEIK. Also, the routine can be used for the LEnKF in the routine [localize_l_pdaf localize_l_pdaf]. |
| 6 | |
| 7 | The interface is the following: |
| 8 | {{{ |
| 9 | SUBROUTINE PDAF_local_weight(wtype, cradius, sradius, distance, & |
| 10 | nrows, ncols, weight, verbose) |
| 11 | }}} |
| 12 | with the following arguments: |
| 13 | * `wtype` : `integer, intent(in)`[[BR]] Type of weight function:[[BR]] (0) unit weight (=1 up to radius `cradius`) [[BR]] (1) exponential decrease (1/e at distance=sradius; 0 for distance>cradius)[[BR]] (2) 5th order polynomial with support radius sradius (Gaspari&Cohn 1999; 0 for distance>sradius) |
| 14 | * `cradius` : `real, intent(in)`[[BR]] Cut-off radius (weight is always =0 for distance>cradius) |
| 15 | * `sradius` : `real, intent(in)`[[BR]] Support radius |
| 16 | * `dim` : `integer, intent(in)`[[BR]] Size of arrays `distance` and `weights' |
| 17 | * `distance` : `real, intent(in)`[[BR]] Distance to observation |
| 18 | * `weights` : `real, intent(out)`[[BR]] computed localization weight |
| 19 | * `verbose` : `integer, intent(in)`[[BR]] Verbosity flag |
| 20 | |
| 21 | Notes: |
| 22 | * `PDAF_local_weights` does not support the regulated localization method (Nerger et al. ,Quarterly Journal of the Royal Meteorological Society, 138 (2012) 802-812; see [PublicationsandPresentations]). To use the regulated localization one has to use the alternative routine [wiki:PDAF_local_weight PDAF_local_weight]. |
| 23 | |
| 24 | There are currently only examples of using `PDAF_local_weight`, but not `PDAF_local_weights`. The examples for `PDAF_local_weight` can be found in the files `prodrinva_l_pdaf.F90` in the tutorial cases. Another example is, e.g. provided in the Lorenz-96 test case (see /testsuite/src/lorenz96/prodrinva_local.F90). |