Carmarthen East and Dinefwr: New Boundaries Calculation

This page shows the detail of the calculations performed to estimate the general election result for 2005 had the new boundaries for Carmarthen East and Dinefwr been in force at that time. The basic idea of the calculation is to look at the district council wards which make up the new seat, and estimate how they voted in 2005. This estimate is based on the recent local election results in those wards, with adjustments made to allow for different turnouts and different voting patterns for local and general elections.

Due to changes in ward boundaries, some new wards are divided among several old constituencies (though never between two new constituencies). Such wards are shown divided into several parts, called [1], [2], and so on.

Election results from a recent local election are given. This is usually the local election from 2003, 2004 or 2006. For multiple-member wards, the votes shown are the sum of the votes cast for all candidates of each party. A negative number indicates candidate(s) elected unopposed. Where zero votes are shown, the ward is not needed because the entire old seat is unsplit.

Calculation method: There are two problems with using the raw (actual) local election results to imply general election results ward-by-ward. Firstly, turnout can be different between local and general elections, which means that the total number of local votes cast does not equal the number of votes cast in each old seat at the general election. To correct for this, we adjust the local votes to match the general election turnout. Each ward's result is scaled, whilst keeping constant the percentage support for each party, so that the total turnout adds up to the old seat's general election turnout. All wards in the old seat are assumed to have the same percentage turnout.

Secondly, even though we now have the correct number of votes in the old seat, the party totals will not match the general election result. Some parties do better at the local election than the general election, and others do vice versa. We call these strong and weak parties respectively. The next step is to transfer votes from strong parties to weak parties. This is done by taking votes proportionally away from strong parties and putting them in a transfer pool. For instance if a party got 12,500 local votes, but only 10,000 general election votes, it will lose 20% of its votes from each ward. These votes in each ward will be put in the ward's transfer pool and allocated to the weak parties. Weak parties will get votes transferred to them in proportion to the votes they need over the old seat. For instance, if two weak parties need 4,000 and 1,000 votes respectively, the first party will get 80% of each ward's transfer pool and the second party will get 20% of each ward's transfer pool. The transfer of votes between parties is done on a ward-by-ward basis using these common percentages.

More details of the calculation formulas are available.

The old seat(s) needed are:

Old seat: Carmarthen East and Dinefwr

The main table shows the district council election results for all the wards in the old seat of Carmarthen East and Dinefwr. The first block shows the actual results, the second block shows the turnout-adjusted results, and the third block has the transfer-adjusted results. Details of the transfer calculation are given below this table.

 Actual ResultsTurnout-adjusted Results Transfer-adjusted Results
DistrictWardElectorate
2005
Old SeatNew Seat CON
Votes
LAB
Votes
LIB
Votes
NAT
Votes
OTH
Votes
CON
Votes
LAB
Votes
LIB
Votes
NAT
Votes
OTH
Votes
Total
Votes
CON
Votes
LAB
Votes
LIB
Votes
NAT
Votes
OTH
Votes
Total
Votes
CarmarthenshireAbergwili1,798Carmarthen East and DinefwrCarmarthen East and Dinefwr01790246677020702847821,273225343173483471,273
CarmarthenshireAmmanford1,968Carmarthen East and DinefwrCarmarthen East and Dinefwr0636033700911048301,3940911048301,394
CarmarthenshireBetws1,374Carmarthen East and DinefwrCarmarthen East and Dinefwr032902990051004630973051004630973
CarmarthenshireCenarth1,646Carmarthen East and DinefwrCarmarthen East and Dinefwr06800853086001,0791,165311274239274641,165
CarmarthenshireCilycwm1,133Carmarthen East and DinefwrCarmarthen East and Dinefwr0000-1000080280223114017820448802
CarmarthenshireCynwyl Elfed [1]1,345Carmarthen East and DinefwrCarmarthen West and Pembrokeshire South0000-1000095295227416621124257952
CarmarthenshireCynwyl Gaeo1,276Carmarthen East and DinefwrCarmarthen East and Dinefwr155005680194007100904194007100904
CarmarthenshireGarnant1,502Carmarthen East and DinefwrCarmarthen East and Dinefwr05670100110077601371511,064438023317591,064
CarmarthenshireGlanamman1,755Carmarthen East and DinefwrCarmarthen East and Dinefwr0529035300745049701,2420745049701,242
CarmarthenshireGorslas2,929Carmarthen East and DinefwrCarmarthen East and Dinefwr08530990909064307466852,074197762152920412,074
CarmarthenshireLlanddarog1,529Carmarthen East and DinefwrCarmarthen East and Dinefwr0000-100001,0821,082312188240275651,082
CarmarthenshireLlandeilo2,281Carmarthen East and DinefwrCarmarthen East and Dinefwr0000-100001,6151,615465282358411971,615
CarmarthenshireLlandovery2,096Carmarthen East and DinefwrCarmarthen East and Dinefwr0880478659010705797981,484230246177782481,484
CarmarthenshireLlandybie2,960Carmarthen East and DinefwrCarmarthen East and Dinefwr074701,100881057408456772,0961956921501,017402,096
CarmarthenshireLlanegwad1,812Carmarthen East and DinefwrCarmarthen East and Dinefwr0023808640027701,0061,283290175500256601,283
CarmarthenshireLlanfihangel Aberbythych1,393Carmarthen East and DinefwrCarmarthen East and Dinefwr830038930110600496384986216678559323986
CarmarthenshireLlanfihangel-ar-Arth2,148Carmarthen East and DinefwrCarmarthen East and Dinefwr214008700300001,22001,520300001,22001,520
CarmarthenshireLlangadog1,565Carmarthen East and DinefwrCarmarthen East and Dinefwr044026072104802817791,108224184172479461,108
CarmarthenshireLlangeler2,549Carmarthen East and DinefwrCarmarthen East and Dinefwr0009014380001,2145901,8041701031311,364351,804
CarmarthenshireLlangunnor1,918Carmarthen East and DinefwrCarmarthen East and Dinefwr0003626860004698891,358256155197695531,358
CarmarthenshireLlangyndeyrn2,394Carmarthen East and DinefwrCarmarthen East and Dinefwr018408720029501,40001,695029501,40001,695
CarmarthenshireLlanybydder1,961Carmarthen East and DinefwrCarmarthen East and Dinefwr0000-100001,3881,388400242308353831,388
CarmarthenshireManordeilo and Salem1,708Carmarthen East and DinefwrCarmarthen East and Dinefwr13200181655165002268181,209400142181434491,209
CarmarthenshirePenygroes1,878Carmarthen East and DinefwrCarmarthen East and Dinefwr0414055200570076001,3300570076001,330
CarmarthenshirePontamman2,031Carmarthen East and DinefwrCarmarthen East and Dinefwr0461035500812062601,4380812062601,438
CarmarthenshireQuarter Bach2,195Carmarthen East and DinefwrCarmarthen East and Dinefwr0655046700907064701,5540907064701,554
CarmarthenshireSaron2,749Carmarthen East and DinefwrCarmarthen East and Dinefwr01,38501,4680094501,00101,946094501,00101,946
CarmarthenshireSt.Ishmael2,193Carmarthen East and DinefwrCarmarthen East and Dinefwr0004148030005281,0241,552295178227788611,552
 Total Carmarthen East and Dinefwr      7658,13627713,61215,50138,2915,23510,8433,71917,56193238,291

The transfer table below shows the votes cast in the old seat of Carmarthen East and Dinefwr at the general election, as well as the total local turnout-adjusted votes. The number of votes to transfer, shown in the fourth and fifth columns, are the difference between the general and local votes. Strong parties will have votes transferred away, and weak parties will have votes transferred into them. The final column describes how votes will be transferred away from or into that party on a ward-by-ward basis. If a party is too strong, it will lose a percentage of its votes in each ward which go into that ward's transfer pool. If a party is too weak, it will gain votes from each ward's transfer pool in proportion to the number of transfer votes it needs over the whole old seat.

PartyGeneral
Election 2005
Votes
Local Election
Turnout-adjusted
Votes
Votes to
transfer
away
Votes to
transfer
into
Ward Transfers needed
CON5,23576504,470Transfer in 30.7% (= 4470 / 14568) of ward's transfer pool votes
LAB10,8438,13602,707Transfer in 18.6% (= 2707 / 14568) of ward's transfer pool votes
LIB3,71927703,442Transfer in 23.6% (= 3442 / 14568) of ward's transfer pool votes
NAT17,56113,61203,949Transfer in 27.1% (= 3949 / 14568) of ward's transfer pool votes
OTH93315,50114,5680Transfer away 94.0% (= 14568 / 15501) of ward's OTH votes
Total38,29138,29114,56814,568 

After transfer adjustment, the totals for each party over all the wards match the general election vote in the old seat.

New seat: Carmarthen East and Dinefwr

The new seat of Carmarthen East and Dinefwr is made up of the following wards, with the transfer-adjusted votes shown.

DistrictWardElectorate
2005
Old SeatNew Seat CON
Votes
LAB
Votes
LIB
Votes
NAT
Votes
OTH
Votes
Total
Votes
CarmarthenshireAbergwili1,798Carmarthen East and DinefwrCarmarthen East and Dinefwr225343173483471,273
CarmarthenshireAmmanford1,968Carmarthen East and DinefwrCarmarthen East and Dinefwr0911048301,394
CarmarthenshireBetws1,374Carmarthen East and DinefwrCarmarthen East and Dinefwr051004630973
CarmarthenshireCenarth1,646Carmarthen East and DinefwrCarmarthen East and Dinefwr311274239274641,165
CarmarthenshireCilycwm1,133Carmarthen East and DinefwrCarmarthen East and Dinefwr23114017820448802
CarmarthenshireCynwyl Gaeo1,276Carmarthen East and DinefwrCarmarthen East and Dinefwr194007100904
CarmarthenshireGarnant1,502Carmarthen East and DinefwrCarmarthen East and Dinefwr438023317591,064
CarmarthenshireGlanamman1,755Carmarthen East and DinefwrCarmarthen East and Dinefwr0745049701,242
CarmarthenshireGorslas2,929Carmarthen East and DinefwrCarmarthen East and Dinefwr197762152920412,074
CarmarthenshireLlanddarog1,529Carmarthen East and DinefwrCarmarthen East and Dinefwr312188240275651,082
CarmarthenshireLlandeilo2,281Carmarthen East and DinefwrCarmarthen East and Dinefwr465282358411971,615
CarmarthenshireLlandovery2,096Carmarthen East and DinefwrCarmarthen East and Dinefwr230246177782481,484
CarmarthenshireLlandybie2,960Carmarthen East and DinefwrCarmarthen East and Dinefwr1956921501,017402,096
CarmarthenshireLlanegwad1,812Carmarthen East and DinefwrCarmarthen East and Dinefwr290175500256601,283
CarmarthenshireLlanfihangel Aberbythych1,393Carmarthen East and DinefwrCarmarthen East and Dinefwr216678559323986
CarmarthenshireLlanfihangel-ar-Arth2,148Carmarthen East and DinefwrCarmarthen East and Dinefwr300001,22001,520
CarmarthenshireLlangadog1,565Carmarthen East and DinefwrCarmarthen East and Dinefwr224184172479461,108
CarmarthenshireLlangeler2,549Carmarthen East and DinefwrCarmarthen East and Dinefwr1701031311,364351,804
CarmarthenshireLlangunnor1,918Carmarthen East and DinefwrCarmarthen East and Dinefwr256155197695531,358
CarmarthenshireLlangyndeyrn2,394Carmarthen East and DinefwrCarmarthen East and Dinefwr029501,40001,695
CarmarthenshireLlanybydder1,961Carmarthen East and DinefwrCarmarthen East and Dinefwr400242308353831,388
CarmarthenshireManordeilo and Salem1,708Carmarthen East and DinefwrCarmarthen East and Dinefwr400142181434491,209
CarmarthenshirePenygroes1,878Carmarthen East and DinefwrCarmarthen East and Dinefwr0570076001,330
CarmarthenshirePontamman2,031Carmarthen East and DinefwrCarmarthen East and Dinefwr0812062601,438
CarmarthenshireQuarter Bach2,195Carmarthen East and DinefwrCarmarthen East and Dinefwr0907064701,554
CarmarthenshireSaron2,749Carmarthen East and DinefwrCarmarthen East and Dinefwr094501,00101,946
CarmarthenshireSt.Ishmael2,193Carmarthen East and DinefwrCarmarthen East and Dinefwr295178227788611,552
 Total  Carmarthen East and Dinefwr4,96010,6763,50717,31887537,339

And these are the implied results for 2005 for the new seat of Carmarthen East and Dinefwr.