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IPS153 John D.
                   to be dealt with. In the Irish PECADO project the SPD is called the Person
                   Activity Register (PAR).
                      Estimate  population  size  using  DSE  methods  The  PECADO  project
                   identifies a list B derived from another administrative data source to use in
                   the DSE setup with the SPD as list A. List B is comprised of all those applying
                   for or renewing their driving licence in the calendar year. We call this list the
                   Driver Licence Dataset (DLD). The DLD is excluded from the SPD.
                      The methodology underpinning this approach is documented by Zhang
                                                                          ˆ
                   and  Dunne  (2018).  The  population  size  estimator  =  /  where
                                                                         ̂
                   ,    are the respective sizes of list B, list A and the match between list
                   A and list B, is underpinned by the following 3 assumptions
                      1. No erroneous records: A closed population ensures no records from
                   outside  the  population  are  included  but  we  also  suppose  there  are  no
                   duplicate records or incorrectly identified records in either list A or list B.
                      2. Matching  assumption:  There  is  no  linkage  error  when  matching
                   records between list A and list B.
                      3. Homogeneous  capture  with  respect  to  list  B:  Every  unit  i  in  the
                   population U has an equal chance   of being captured in list B.
                        An additional assumption of independent capture in List B, that is the event
                  of any person is captured in list B has no impact on the likelihood of any other
                                                                                     ̂ ̂
                  person  being  captured  in  list  B,  provides  the  variance  estimator   () =
                   (( − )( − ))/( ).
                                          3
                     The DSE methods described here (Zhang and Dunne, 2018) provide for a
                  broader application of DSE than the more traditional approach as described by
                  Wolter (1986). In particular, we can now consider a DSE model when list A is
                  compiled from administrative data sources where it can be difficult to justify that
                  the traditional assumptions hold.
                     This system produces stock population estimates on an annual basis on a
                  population concept similar to the annual resident population (Lanzieri, 2013).
                  The annual resident population concept used here is based on a calendar year
                  rather than a point in time. The demographic accounting framework is adjusted
                  slightly to reflect this. The accounting identity becomes: population resident in
                  year (t) is equal to the population in year (t-1) less outflows in year (t-1) plus
                  inflows in year (t). Reliable stock estimates will provide reliable estimates of net
                  flows, that is the difference between inflows and outflows, but won’t provide
                  estimates  of  gross  population  flows.  We  propose  an  extension  to  the  DSE
                  methodology above to estimate gross population flows building on the stock
                  estimates.

                  2.3. Estimating Gross Flows: Inflows and Outflows
                     The  PECADO  project  reuses  the  underlying  data  sources  from  two
                  consecutive  years,  1  and  2,  to  estimate  gross  population  flows.  Gross

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