! Copyright (c) 2004-2024 Lars Nerger ! ! This file is part of PDAF. ! ! PDAF is free software: you can redistribute it and/or modify ! it under the terms of the GNU Lesser General Public License ! as published by the Free Software Foundation, either version ! 3 of the License, or (at your option) any later version. ! ! PDAF is distributed in the hope that it will be useful, ! but WITHOUT ANY WARRANTY; without even the implied warranty of ! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the ! GNU Lesser General Public License for more details. ! ! You should have received a copy of the GNU Lesser General Public ! License along with PDAF. If not, see <http://www.gnu.org/licenses/>. ! !$Id$ !BOP ! ! !ROUTINE: PDAF_lseik_update --- Control analysis update of the LSEIK filter ! ! !INTERFACE: SUBROUTINE PDAF_lseik_update(step, dim_p, dim_obs_f, dim_ens, rank, & state_p, Uinv, ens_p, state_inc_p, & U_init_dim_obs, U_obs_op, U_init_obs, U_init_obs_l, U_prodRinvA_l, & U_init_n_domains_p, U_init_dim_l, U_init_dim_obs_l, U_g2l_state, U_l2g_state, & U_g2l_obs, U_init_obsvar, U_init_obsvar_l, U_prepoststep, screen, & subtype, incremental, type_forget, type_sqrt, flag) ! !DESCRIPTION: ! Routine to control the analysis update of the SEIK filter. ! ! The analysis is performed by first preparing several ! global quantities on the PE-local domain, like the ! observed part of the state ensemble for all local ! analysis domains on the PE-local state domain. ! Then the analysis (PDAF\_lseik\_analysis) and ! resampling (PDAF\_lseik\_resample) are performed within ! a loop over all local analysis domains in the PE-local ! state domain. In this loop, the local state and ! observation dimensions are initialized and the global ! state ensemble is restricted to the local analysis domain. ! In addition, the routine U\_prepoststep is called prior ! to the analysis and after the resampling outside of ! the loop over the local domains to allow the user ! to access the ensemble information. ! ! Variant for domain decomposition. ! ! ! This is a core routine of PDAF and ! should not be changed by the user ! ! ! !REVISION HISTORY: ! 2005-09 - Lars Nerger - Initial code ! Later revisions - see svn log ! ! !USES: USE mpi USE PDAF_timer, & ONLY: PDAF_timeit, PDAF_time_temp USE PDAF_memcounting, & ONLY: PDAF_memcount USE PDAF_mod_filter, & ONLY: type_trans, filterstr, obs_member, forget, forget_l, & inloop, member_save, debug USE PDAF_mod_filtermpi, & ONLY: mype, dim_ens_l USE PDAF_analysis_utils, & ONLY: PDAF_print_domain_stats, PDAF_init_local_obsstats, PDAF_incr_local_obsstats, & PDAF_print_local_obsstats IMPLICIT NONE ! !ARGUMENTS: ! ! Variable naming scheme: ! ! suffix _p: Denotes a full variable on the PE-local domain ! ! suffix _l: Denotes a local variable on the current analysis domain ! ! suffix _f: Denotes a full variable of all observations required for the ! ! analysis loop on the PE-local domain INTEGER, INTENT(in) :: step ! Current time step INTEGER, INTENT(in) :: dim_p ! PE-local dimension of model state INTEGER, INTENT(out) :: dim_obs_f ! PE-local dimension of observation vector INTEGER, INTENT(in) :: dim_ens ! Size of ensemble INTEGER, INTENT(in) :: rank ! Rank of initial covariance matrix REAL, INTENT(inout) :: state_p(dim_p) ! PE-local model state REAL, INTENT(inout) :: Uinv(rank, rank) ! Inverse of matrix U REAL, INTENT(inout) :: ens_p(dim_p, dim_ens) ! PE-local ensemble matrix REAL, INTENT(inout) :: state_inc_p(dim_p) ! PE-local state analysis increment INTEGER, INTENT(in) :: screen ! Verbosity flag INTEGER, INTENT(in) :: subtype ! Filter subtype INTEGER, INTENT(in) :: incremental ! Control incremental updating INTEGER, INTENT(in) :: type_forget ! Type of forgetting factor INTEGER, INTENT(in) :: type_sqrt ! Type of square-root of U INTEGER, INTENT(inout) :: flag ! Status flag ! ! External subroutines ! ! (PDAF-internal names, real names are defined in the call to PDAF) EXTERNAL :: U_obs_op, & ! Observation operator U_init_n_domains_p, & ! Provide number of local analysis domains U_init_dim_l, & ! Init state dimension for local ana. domain U_init_dim_obs, & ! Initialize dimension of observation vector U_init_dim_obs_l, & ! Initialize dim. of obs. vector for local ana. domain U_init_obs, & ! Initialize observation vector U_init_obs_l, & ! Init. observation vector on local analysis domain U_init_obsvar, & ! Initialize mean observation error variance U_init_obsvar_l, & ! Initialize local mean observation error variance U_g2l_state, & ! Get state on local ana. domain from global state U_l2g_state, & ! Init full state from state on local analysis domain U_g2l_obs, & ! Restrict full obs. vector to local analysis domain U_prodRinvA_l, & ! Compute product of R^(-1) with HV U_prepoststep ! User supplied pre/poststep routine ! !CALLING SEQUENCE: ! Called by: PDAF_put_state_lseik ! Calls: U_prepoststep ! Calls: U_init_n_domains_p ! Calls: U_init_dim_obs ! Calls: U_obs_op ! Calls: U_init_obs ! Calls: U_init_dim_l ! Calls: U_init_dim_obs_l ! Calls: U_g2l_state ! Calls: U_l2g_state ! Calls: PDAF_set_forget ! Calls: PDAF_lseik_analysis ! Calls: PDAF_lseik_resample ! Calls: PDAF_seik_Uinv ! Calls: PDAF_seik_Omega ! Calls: PDAF_timeit ! Calls: PDAF_memcount ! Calls: MPI_reduce !EOP ! *** local variables *** INTEGER :: i, j, member, row ! Counters INTEGER :: domain_p ! Counter for local analysis domain INTEGER, SAVE :: allocflag = 0 ! Flag whether first time allocation is done REAL :: invdimens ! Inverse global ensemble size INTEGER :: minusStep ! Time step counter INTEGER :: n_domains_p ! number of PE-local analysis domains REAL :: forget_ana_l ! forgetting factor supplied to analysis routine REAL :: forget_ana ! Possibly globally adaptive forgetting factor LOGICAL :: storeOmega = .FALSE. ! Store matrix Omega instead of recomputing it REAL, ALLOCATABLE :: HX_f(:,:) ! HX for PE-local ensemble REAL, ALLOCATABLE :: HXbar_f(:) ! PE-local observed mean state REAL, ALLOCATABLE :: obs_f(:) ! PE-local observation vector REAL, ALLOCATABLE :: Omega(:,:) ! Transformation matrix Omega REAL, ALLOCATABLE :: OmegaT(:,:) ! Transpose of transformation matrix Omeg REAL, SAVE, ALLOCATABLE :: OmegaT_save(:,:) ! Stored OmegaT ! Variables on local analysis domain INTEGER :: dim_l ! State dimension on local analysis domain INTEGER :: dim_obs_l ! Observation dimension on local analysis domain REAL, ALLOCATABLE :: ens_l(:,:) ! State ensemble on local analysis domain REAL, ALLOCATABLE :: state_l(:) ! Mean state on local analysis domain REAL, ALLOCATABLE :: stateinc_l(:) ! State increment on local analysis domain REAL, ALLOCATABLE :: Uinv_l(:,:) ! thread-local matrix Uinv ! *********************************************************** ! *** For fixed error space basis compute ensemble states *** ! *********************************************************** IF (debug>0) & WRITE (*,*) '++ PDAF-debug: ', debug, 'PDAF_lseik_update -- START' CALL PDAF_timeit(51, 'new') fixed_basis: IF (subtype == 2 .OR. subtype == 3) THEN ! *** Add mean/central state to ensemble members *** DO j = 1, dim_ens DO i = 1, dim_p ens_p(i, j) = ens_p(i, j) + state_p(i) END DO END DO END IF fixed_basis CALL PDAF_timeit(51, 'old') ! ************************************* ! *** Prestep for forecast ensemble *** ! ************************************* CALL PDAF_timeit(5, 'new') minusStep = - step ! Indicate forecast by negative time step number IF (mype == 0 .AND. screen > 0) THEN WRITE (*, '(a, 5x, a, i7)') 'PDAF', 'Call pre-post routine after forecast; step ', step ENDIF CALL U_prepoststep(minusStep, dim_p, dim_ens, dim_ens_l, dim_obs_f, & state_p, Uinv, ens_p, flag) CALL PDAF_timeit(5, 'old') IF (mype == 0 .AND. screen > 0) THEN IF (screen > 1) THEN WRITE (*, '(a, 5x, a, F10.3, 1x, a)') & 'PDAF', '--- duration of prestep:', PDAF_time_temp(5), 's' END IF WRITE (*, '(a, 55a)') 'PDAF Analysis', ('-', i = 1, 55) END IF ! ************************************** ! *** Preparation for local analysis *** ! ************************************** #ifndef PDAF_NO_UPDATE CALL PDAF_timeit(3, 'new') CALL PDAF_timeit(4, 'new') IF (debug>0) THEN WRITE (*,*) '++ PDAF-debug PDAF_lseik_update', debug, & 'Configuration: param_int(3) -not used- ' WRITE (*,*) '++ PDAF-debug PDAF_lseik_update', debug, & 'Configuration: param_int(4) incremental ', incremental WRITE (*,*) '++ PDAF-debug PDAF_lseik_update', debug, & 'Configuration: param_int(5) type_forget ', type_forget WRITE (*,*) '++ PDAF-debug PDAF_lseik_update', debug, & 'Configuration: param_int(6) type_trans ', type_trans WRITE (*,*) '++ PDAF-debug PDAF_lseik_update', debug, & 'Configuration: param_int(7) type_sqrt ', type_sqrt WRITE (*,*) '++ PDAF-debug PDAF_lseik_update', debug, & 'Configuration: param_real(1) forget ', forget END IF IF (debug>0) & WRITE (*,*) '++ PDAF-debug: ', debug, 'PDAF_lseik_update -- call init_n_domains' ! Query number of analysis domains for the local analysis ! in the PE-local domain CALL PDAF_timeit(42, 'new') CALL U_init_n_domains_p(step, n_domains_p) CALL PDAF_timeit(42, 'old') IF (debug>0) & WRITE (*,*) '++ PDAF-debug PDAF_lseik_update:', debug, ' n_domains_p', n_domains_p IF (screen > 0) THEN IF (mype == 0) THEN IF (subtype /= 4) THEN WRITE (*, '(a, i7, 3x, a)') & 'PDAF ', step, 'Local SEIK analysis' ELSE WRITE (*, '(a, i7, 3x, a)') & 'PDAF ', step, 'Local SEIK analysis with ensemble transformation' END IF END IF IF (screen<3) THEN CALL PDAF_print_domain_stats(n_domains_p) ELSE WRITE (*, '(a, 5x, a, i6, a, i10)') & 'PDAF', '--- PE-domain:', mype, ' number of analysis domains:', n_domains_p END IF END IF ! *** Local analysis: initialize global quantities *** IF (debug>0) & WRITE (*,*) '++ PDAF-debug: ', debug, 'PDAF_lseik_update -- call init_dim_obs' ! Get observation dimension for all observations required ! for the loop of local analyses on the PE-local domain. CALL PDAF_timeit(43, 'new') CALL U_init_dim_obs(step, dim_obs_f) CALL PDAF_timeit(43, 'old') IF (screen > 2) THEN WRITE (*, '(a, 5x, a, i6, a, i10)') & 'PDAF', '--- PE-Domain:', mype, & ' dimension of PE-local full obs. vector', dim_obs_f END IF ! HX = [Hx_1 ... Hx_(r+1)] for full DIM_OBS_F region on PE-local domain ALLOCATE(HX_f(dim_obs_f, dim_ens)) IF (allocflag == 0) CALL PDAF_memcount(3, 'r', dim_obs_f * dim_ens) CALL PDAF_timeit(44, 'new') IF (debug>0) & WRITE (*,*) '++ PDAF-debug: ', debug, 'PDAF_lseik_update -- call obs_op', dim_ens, 'times' ENS: DO member = 1,dim_ens ! Store member index to make it accessible with PDAF_get_obsmemberid obs_member = member ! Call observation operator CALL U_obs_op(step, dim_p, dim_obs_f, ens_p(:, member), HX_f(:, member)) END DO ENS CALL PDAF_timeit(44, 'old') CALL PDAF_timeit(51, 'new') CALL PDAF_timeit(11, 'new') ! *** Compute mean forecast state state_p = 0.0 invdimens = 1.0 / REAL(dim_ens) DO member = 1, dim_ens DO row = 1, dim_p state_p(row) = state_p(row) + invdimens * ens_p(row, member) END DO END DO CALL PDAF_timeit(11, 'old') ! *** Compute mean state of ensemble on PE-local observation space ALLOCATE(HXbar_f(dim_obs_f)) IF (allocflag == 0) CALL PDAF_memcount(3, 'r', dim_obs_f) HXbar_f = 0.0 invdimens = 1.0 / REAL(dim_ens) DO member = 1, dim_ens DO row = 1, dim_obs_f HXbar_f(row) = HXbar_f(row) + invdimens * HX_f(row, member) END DO END DO CALL PDAF_timeit(51, 'old') ! Set forgetting factor globally forget_ana = forget IF (type_forget == 1) THEN ALLOCATE(obs_f(dim_obs_f)) IF (allocflag == 0) CALL PDAF_memcount(3, 'r', dim_obs_f) ! get observation vector CALL PDAF_timeit(50, 'new') CALL U_init_obs(step, dim_obs_f, obs_f) CALL PDAF_timeit(50, 'old') ! Set FORGET CALL PDAF_set_forget(step, filterstr, dim_obs_f, dim_ens, HX_f, & HXbar_f, obs_f, U_init_obsvar, forget, forget_ana) DEALLOCATE(obs_f) ENDIF ! *** Initialize OmegaT CALL PDAF_timeit(51, 'new') CALL PDAF_timeit(33, 'new') ALLOCATE(Omega(dim_ens, rank)) ALLOCATE(OmegaT(rank, dim_ens)) IF (allocflag == 0) CALL PDAF_memcount(4, 'r', 2 * rank * dim_ens) O_store: IF (.NOT. storeOmega .OR. (storeOmega .AND. allocflag == 0)) THEN CALL PDAF_seik_Omega(rank, Omega, type_trans, screen) OmegaT = TRANSPOSE(Omega) IF (storeOmega) THEN ALLOCATE(OmegaT_save(rank, dim_ens)) IF (allocflag == 0) CALL PDAF_memcount(4, 'r', rank * dim_ens) OmegaT_save = OmegaT END IF ELSE O_store ! Re-use stored Omega if (mype == 0 .AND. screen > 0) & write (*,'(a, 5x,a)') 'PDAF', '--- Use stored Omega' OmegaT = OmegaT_save END IF O_store IF (debug>0) & WRITE (*,*) '++ PDAF-debug PDAF_lseik_update:', debug, ' Omega^T', OmegaT DEALLOCATE(Omega) CALL PDAF_timeit(33, 'old') CALL PDAF_timeit(51, 'old') CALL PDAF_timeit(4, 'old') ! ************************************ ! *** Perform analysis and re_init *** ! ************************************ CALL PDAF_timeit(6, 'new') ! Initialize counters for statistics on local observations CALL PDAF_init_local_obsstats() !$OMP PARALLEL default(shared) private(dim_l, dim_obs_l, ens_l, state_l, stateinc_l, Uinv_l, flag, forget_ana_l) forget_ana_l = forget_ana ! Allocate ensemble transform matrix ALLOCATE(Uinv_l(dim_ens-1, dim_ens-1)) IF (allocflag == 0) CALL PDAF_memcount(3, 'r', (dim_ens-1)**2) Uinv_l = 0.0 IF (debug>0 .and. n_domains_p>0) & WRITE (*,*) '++ PDAF-debug: ', debug, 'PDAF_lseik_update -- Enter local analysis loop' !$OMP BARRIER !$OMP DO schedule(runtime) localanalysis: DO domain_p = 1, n_domains_p ! Set flag that we are in the local analysis loop inloop = .true. ! Set forgetting factor to global standard value forget_l = forget_ana IF (debug>0) THEN WRITE (*,*) '++ PDAF-debug: ', debug, & 'PDAF_lseik_update -- local analysis for domain_p', domain_p WRITE (*,*) '++ PDAF-debug: ', debug, 'PDAF_lseik_update -- call init_dim_l' END IF ! local state dimension CALL PDAF_timeit(45, 'new') CALL U_init_dim_l(step, domain_p, dim_l) CALL PDAF_timeit(45, 'old') IF (debug>0) THEN WRITE (*,*) '++ PDAF-debug PDAF_lseik_update:', debug, ' dim_l', dim_l WRITE (*,*) '++ PDAF-debug: ', debug, 'PDAF_lseik_update -- call init_dim_obs_l' END IF ! Get observation dimension for local domain CALL PDAF_timeit(9, 'new') dim_obs_l = 0 CALL U_init_dim_obs_l(domain_p, step, dim_obs_f, dim_obs_l) CALL PDAF_timeit(9, 'old') IF (debug>0) & WRITE (*,*) '++ PDAF-debug PDAF_lseik_update:', debug, ' dim_obs_l', dim_obs_l CALL PDAF_timeit(51, 'new') ! Gather statistical information on local observations CALL PDAF_incr_local_obsstats(dim_obs_l) ! Allocate arrays for local analysis domain ALLOCATE(ens_l(dim_l, dim_ens)) ALLOCATE(state_l(dim_l)) ALLOCATE(stateinc_l(dim_l)) CALL PDAF_timeit(51, 'old') CALL PDAF_timeit(15, 'new') ! state ensemble and mean state on current analysis domain DO member = 1, dim_ens ! Store member index to make it accessible with PDAF_get_memberid member_save = member IF (debug>0) then WRITE (*,*) '++ PDAF-debug: ', debug, & 'PDAF_lseik_update -- call g2l_state for ensemble member', member if (member==1) & WRITE (*,*) '++ PDAF-debug: ', debug, & 'PDAF_lseik_update -- Note: if ens_l is incorrect check user-defined indices in g2l_state!' END IF CALL U_g2l_state(step, domain_p, dim_p, ens_p(:, member), dim_l, & ens_l(:, member)) IF (debug>0) & WRITE (*,*) '++ PDAF-debug PDAF_lseik_update:', debug, ' ens_l', ens_l(:,member) END DO member_save = 0 IF (debug>0) & WRITE (*,*) '++ PDAF-debug: ', debug, & 'PDAF_lseik_update -- call g2l_state for ensemble mean' CALL U_g2l_state(step, domain_p, dim_p, state_p, dim_l, & state_l) IF (debug>0) & WRITE (*,*) '++ PDAF-debug PDAF_lseik_update:', debug, ' meanens_l', state_l CALL PDAF_timeit(15, 'old') ! Check whether we have observations for the current local domain ! Perform analysis only if we have observations CALL PDAF_timeit(7, 'new') ! Reset forget (can be reset with PDAF_reset_forget) IF (type_forget == 0) forget_ana_l = forget_l IF (subtype /= 4 ) THEN havelocalobs: IF (dim_obs_l > 0) THEN ! SEIK analysis with separated state and ensemble updates CALL PDAF_lseik_analysis(domain_p, step, dim_l, dim_obs_f, dim_obs_l, & dim_ens, rank, state_l, Uinv_l, ens_l, HX_f, & HXbar_f, stateinc_l, forget_ana_l, U_g2l_obs, U_init_obs_l, & U_prodRinvA_l, U_init_obsvar_l, U_init_n_domains_p, screen, incremental, & type_forget, flag) ELSE havelocalobs ! No observations available for the local domain ! initialize simple Uinv for resampling CALL PDAF_seik_Uinv(rank, Uinv_l) Uinv_l = forget_ana_l * Uinv_l IF (debug>0) THEN WRITE (*,*) '++ PDAF-debug: ', debug, & 'PDAF_lseik_update -- dim_obs_l = 0; omit call to local analysis function' WRITE (*,*) '++ PDAF-debug: ', debug, & 'PDAF_lseik_update -- Apply forgetting factor', forget_ana_l END IF END IF havelocalobs ELSE ! SEIK analysis with ensemble transformation CALL PDAF_lseik_analysis_trans(domain_p, step, dim_l, dim_obs_f, dim_obs_l, & dim_ens, rank, state_l, Uinv_l, ens_l, HX_f, & HXbar_f, stateinc_l, OmegaT, forget_ana_l, U_g2l_obs, & U_init_obs_l, U_prodRinvA_l, U_init_obsvar_l, U_init_n_domains_p, screen, & incremental, type_forget, type_sqrt, flag) END IF CALL PDAF_timeit(7, 'old') ! *** Resample the state ensemble on local analysis domain IF (subtype /= 4) THEN CALL PDAF_timeit(8, 'new') CALL PDAF_lseik_resample(domain_p, subtype, dim_l, dim_ens, & rank, Uinv_l, state_l, ens_l, OmegaT, type_sqrt, screen, flag) CALL PDAF_timeit(8, 'old') END IF CALL PDAF_timeit(16, 'new') ! re-initialize full state ensemble on PE and mean state from local domain DO member = 1, dim_ens member_save = member IF (debug>0) then WRITE (*,*) '++ PDAF-debug: ', debug, & 'PDAF_lseik_update -- call l2g_state for ensemble member', member WRITE (*,*) '++ PDAF-debug PDAF_lseik_update:', debug, ' ens_l', ens_l(:,member) END IF CALL U_l2g_state(step, domain_p, dim_l, ens_l(:, member), dim_p, ens_p(:,member)) END DO IF (subtype /= 4) THEN member_save = 0 IF (debug>0) THEN WRITE (*,*) '++ PDAF-debug: ', debug, & 'PDAF_lseik_update -- call l2g_state for ensemble mean' WRITE (*,*) '++ PDAF-debug PDAF_lseik_update:', debug, ' meanens_l', state_l END IF CALL U_l2g_state(step, domain_p, dim_l, state_l, dim_p, state_p) END IF ! Initialize global state increment IF (incremental == 1) THEN member_save = -1 IF (debug>0) THEN WRITE (*,*) '++ PDAF-debug: ', debug, 'PDAF_lseik_update -- init gobal state increment' WRITE (*,*) '++ PDAF-debug PDAF_lseik_update:', debug, ' stateinc_l', stateinc_l END IF CALL U_l2g_state(step, domain_p, dim_l, stateinc_l, dim_p, state_inc_p) END IF CALL PDAF_timeit(16, 'old') ! clean up DEALLOCATE(ens_l, state_l, stateinc_l) END DO localanalysis IF (debug>0 .and. n_domains_p>0) & WRITE (*,*) '++ PDAF-debug: ', debug, 'PDAF_lseik_update -- End of local analysis loop' ! Set flag that we are not in the local analysis loop inloop = .false. CALL PDAF_timeit(51, 'new') !$OMP CRITICAL ! Set Uinv - required for subtype=3 Uinv = Uinv_l !$OMP END CRITICAL DEALLOCATE(Uinv_l) !$OMP END PARALLEL ! *** Print statistics for local analysis to the screen *** CALL PDAF_print_local_obsstats(screen) CALL PDAF_timeit(51, 'old') CALL PDAF_timeit(6, 'old') CALL PDAF_timeit(3, 'old') IF (mype == 0 .AND. screen > 0) THEN IF (screen > 1) THEN WRITE (*, '(a, 5x, a, F10.3, 1x, a)') & 'PDAF', '--- analysis/re-init duration:', PDAF_time_temp(3), 's' END IF END IF ! *** Clean up from local analysis update *** DEALLOCATE(HX_f, HXbar_f, OmegaT) #else WRITE (*,'(/5x,a/)') & '!!! PDAF WARNING: ANALYSIS STEP IS DEACTIVATED BY PDAF_NO_UPDATE !!!' #endif ! *** Poststep for analysis ensemble *** CALL PDAF_timeit(5, 'new') IF (mype == 0 .AND. screen > 0) THEN WRITE (*, '(a, 5x, a)') 'PDAF', 'Call pre-post routine after analysis step' ENDIF CALL U_prepoststep(step, dim_p, dim_ens, dim_ens_l, dim_obs_f, & state_p, Uinv, ens_p, flag) CALL PDAF_timeit(5, 'old') IF (mype == 0 .AND. screen > 0) THEN IF (screen > 1) THEN WRITE (*, '(a, 1x, a, F10.3, 1x, a)') & 'PDAF', '--- duration of poststep:', PDAF_time_temp(5), 's' END IF WRITE (*, '(a, 55a)') 'PDAF Forecast ', ('-', i = 1, 55) END IF ! ******************** ! *** Finishing up *** ! ******************** IF (allocflag == 0) allocflag = 1 IF (debug>0) & WRITE (*,*) '++ PDAF-debug: ', debug, 'PDAF_lseik_update -- END' END SUBROUTINE PDAF_lseik_update