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subroutine da_residual_gpsref(iv, y, re, np_missing, np_bad_data, np_obs_used, np_available) 1,2

   !-----------------------------------------------------------------------
   ! Purpose: Calculate residiual for gpsref obs
   !-----------------------------------------------------------------------

   implicit none

   type (iv_type),intent(inout) :: iv     ! Innovation vector (O-B).
   type (y_type) ,intent(in)    :: y      ! y = H (xa)
   type (y_type) ,intent(inout) :: re     ! Residual vector (O-A).

   integer       ,intent(inout) :: np_available
   integer       ,intent(inout) :: np_obs_used
   integer       ,intent(inout) :: np_missing
   integer       ,intent(inout) :: np_bad_data

   type (bad_data_type) :: n_obs_bad
   integer              :: n, k
!
   real                 :: constant0, g_lat, g_height, weight1, weight2, &amp;
                           gpsref_org

   if (trace_use_dull) call da_trace_entry("da_residual_gpsref")

! Assuming the highest latitude is 90.0 degree:
         constant0= sin(radian * 90.0)

   n_obs_bad % gpsref % num = number_type(0, 0, 0)

   do n=1, iv%info(gpsref)%nlocal
      do k=1, iv%info(gpsref)%levels(n)
         np_available = np_available + 1
!
! Weighted the GPSREF innovation with the latitude: 
         if (iv%gpsref(n)%ref(k)%qc &gt;= obs_qc_pointer ) then

! depend on the height: above 7km, set to 1.0, below 7km, decrease to 0.0:
           g_height = iv%gpsref(n)% h(k)
           weight1 = 1.0 - (7000.0 - g_height) / 7000.0
           if ( weight1 &gt; 1.0 ) weight1 = 1.0
! not depend on height:
           weight1 = 1.0

! depend on the latitude, at 90 degree, weight = 1.0, at 0 degree, weight = 0.0
           g_lat    = iv%info(gpsref)%lat(k,n)
           weight2  = abs(sin(radian * g_lat) / constant0)
! not depend on the latitude:
           weight2   = 1.0

           gpsref_org = iv%gpsref(n)%ref(k)%inv
           iv%gpsref(n)%ref(k)%inv = gpsref_org * weight1 * weight2
         endif
!.............................................................
         re%gpsref(n)%ref(k) = &amp;
            da_residual(n, k, y%gpsref(n)%ref(k), iv%gpsref(n)%ref(k), n_obs_bad%gpsref)
!
         if (iv%gpsref(n)%ref(k)%qc &gt;= obs_qc_pointer ) &amp;
           iv%gpsref(n)%ref(k)%inv = gpsref_org
         
      end do
   end do

   np_missing  = np_missing  + n_obs_bad % gpsref % num % miss
   np_bad_data = np_bad_data + n_obs_bad % gpsref % num % bad
   np_obs_used = np_obs_used + n_obs_bad % gpsref % num % use

   if (trace_use_dull) call da_trace_exit("da_residual_gpsref")

   
end subroutine da_residual_gpsref