Islwyn: 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 Islwyn 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: Islwyn

The main table shows the district council election results for all the wards in the old seat of Islwyn. 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
CaerphillyAbercarn3,669IslwynIslwyn01,7280875001,455073702,192901,65016828302,192
CaerphillyArgoed1,989IslwynIslwyn0457022300799039001,189479028914901,189
CaerphillyBlackwood6,373IslwynIslwyn3941,98409202,4122631,32306131,6083,8076572,17773623503,807
CaerphillyCefn Fforest2,878IslwynIslwyn7697304388385672003246201,7202181,07230412401,720
CaerphillyCrosskeys2,560IslwynIslwyn108749019501571,089028301,5291911,1646410801,529
CaerphillyCrumlin4,496IslwynIslwyn01,56302,011001,17501,51102,6861841,57534558002,686
CaerphillyNewbridge4,870IslwynIslwyn4242,29502,70902271,23001,45202,9094041,61433155702,909
CaerphillyPengam2,986IslwynIslwyn951,2470628187791,03105191551,7841731,23517619901,784
CaerphillyPenmaen3,687IslwynIslwyn20390801,33652315167309913882,2033491,10237038002,203
CaerphillyPontllanfraith6,277IslwynIslwyn6472,72502,6316363651,53901,4863593,7496182,08747257003,749
CaerphillyRisca East4,804IslwynIslwyn02,539454578002,04036546502,870562,16347117802,870
CaerphillyRisca West4,160IslwynIslwyn2111,921075101821,656064702,4852611,82714724802,485
CaerphillyYnysddu2,918IslwynIslwyn01,17401,13600886085701,7431041,11319532901,743
 Total Islwyn      1,48015,61636510,2753,13030,8663,35819,6873,8733,947030,866

The transfer table below shows the votes cast in the old seat of Islwyn 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
CON3,3581,48001,878Transfer in 19.9% (= 1878 / 9457) of ward's transfer pool votes
LAB19,68715,61604,071Transfer in 43.0% (= 4071 / 9457) of ward's transfer pool votes
LIB3,87336503,508Transfer in 37.1% (= 3508 / 9457) of ward's transfer pool votes
NAT3,94710,2756,3280Transfer away 61.6% (= 6328 / 10275) of ward's NAT votes
OTH03,1303,1300Transfer away 100.0% (= 3130 / 3130) of ward's OTH votes
Total30,86530,8669,4579,457 

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

Old seat: Caerphilly

The main table shows the district council election results for all the wards in the old seat of Caerphilly. 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
CaerphillyAber Valley4,909CaerphillyCaerphilly02,31002,14235101,34901,2512052,8053471,635209585262,805
CaerphillyAberbargoed2,695CaerphillyIslwyn09670430242090804042271,5391691,048102189291,539
CaerphillyBargoed4,727CaerphillyCaerphilly02,6573061,60327601,4821718941542,7012501,689322418192,701
CaerphillyBedwas Trethomas and Machen8,227CaerphillyCaerphilly05,62201,3202,18202,89606801,1244,7005513,3513333181454,700
CaerphillyGilfach1,680CaerphillyCaerphilly0674011500820014009603084518650960
CaerphillyHengoed3,724CaerphillyCaerphilly098901,4320086901,25802,1272751,09616658802,127
CaerphillyLlanbradach3,502CaerphillyCaerphilly070201,9630052701,47302,00032279319468902,000
CaerphillyMaesycwmmer1,863CaerphillyIslwyn0531015400825023901,064528683111101,064
CaerphillyMorgan Jones5,135CaerphillyCaerphilly01,61802,797001,07501,85802,9334061,41024586902,933
CaerphillyNelson3,649CaerphillyCaerphilly01,019001,7130777001,3072,0844681,16328201682,084
CaerphillyPenyrheol8,757CaerphillyCaerphilly03,96706,15847901,87102,9052265,0027172,4624321,359295,002
CaerphillySt.Cattwg5,764CaerphillyCaerphilly02,981003,10501,613001,6803,2936022,11036302173,293
CaerphillySt.James4,601CaerphillyCaerphilly01,91901,661001,40901,21902,6282661,62916157002,628
CaerphillySt.Martins6,058CaerphillyCaerphilly1,4471,7321,3432,14607518996971,11403,4619941,10084452103,461
CaerphillyYstrad Mynach3,387CaerphillyCaerphilly01,15301,7200077601,15801,93425398515354201,934
 Total Caerphilly      75118,09686814,5934,92339,2315,71122,1903,8616,83163639,231

The transfer table below shows the votes cast in the old seat of Caerphilly 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
CON5,71175104,960Transfer in 41.2% (= 4960 / 12047) of ward's transfer pool votes
LAB22,19018,09604,094Transfer in 34.0% (= 4094 / 12047) of ward's transfer pool votes
LIB3,86186802,993Transfer in 24.8% (= 2993 / 12047) of ward's transfer pool votes
NAT6,83114,5937,7620Transfer away 53.2% (= 7762 / 14593) of ward's NAT votes
OTH6364,9234,2870Transfer away 87.1% (= 4287 / 4923) of ward's OTH votes
Total39,22939,23112,04712,047 

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

New seat: Islwyn

The new seat of Islwyn 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
CaerphillyAberbargoed2,695CaerphillyIslwyn1691,048102189291,539
CaerphillyAbercarn3,669IslwynIslwyn901,65016828302,192
CaerphillyArgoed1,989IslwynIslwyn479028914901,189
CaerphillyBlackwood6,373IslwynIslwyn6572,17773623503,807
CaerphillyCefn Fforest2,878IslwynIslwyn2181,07230412401,720
CaerphillyCrosskeys2,560IslwynIslwyn1911,1646410801,529
CaerphillyCrumlin4,496IslwynIslwyn1841,57534558002,686
CaerphillyMaesycwmmer1,863CaerphillyIslwyn528683111101,064
CaerphillyNewbridge4,870IslwynIslwyn4041,61433155702,909
CaerphillyPengam2,986IslwynIslwyn1731,23517619901,784
CaerphillyPenmaen3,687IslwynIslwyn3491,10237038002,203
CaerphillyPontllanfraith6,277IslwynIslwyn6182,08747257003,749
CaerphillyRisca East4,804IslwynIslwyn562,16347117802,870
CaerphillyRisca West4,160IslwynIslwyn2611,82714724802,485
CaerphillyYnysddu2,918IslwynIslwyn1041,11319532901,743
 Total  Islwyn3,58021,6034,0074,2472933,469

And these are the implied results for 2005 for the new seat of Islwyn.