Brecon and Radnorshire: 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 Brecon and Radnorshire 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: Brecon and Radnorshire

The main table shows the district council election results for all the wards in the old seat of Brecon and Radnorshire. 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
PowysAber-craf1,132Brecon and RadnorshireBrecon and Radnorshire0508930141055510201548119256314095811
PowysBeguildy1,075Brecon and RadnorshireBrecon and Radnorshire0000-10000770770460441934525770
PowysBronllys963Brecon and RadnorshireBrecon and Radnorshire0000-10000690690412401734122690
PowysBuilth1,835Brecon and RadnorshireBrecon and Radnorshire00001,01000001,3151,3157857633078431,315
PowysBwlch753Brecon and RadnorshireBrecon and Radnorshire00-10000540005400054000540
PowysCrickhowell2,367Brecon and RadnorshireBrecon and Radnorshire00-100001,696001,696001,696001,696
PowysCwm-twrch1,522Brecon and RadnorshireBrecon and Radnorshire0-100001,0910001,09101,0910001,091
PowysDisserth and Trecoed939Brecon and RadnorshireBrecon and Radnorshire00-10000673006730067300673
PowysFelin-fâch997Brecon and RadnorshireBrecon and Radnorshire0000-10000715715427411794223715
PowysGlasbury1,656Brecon and RadnorshireBrecon and Radnorshire0000-100001,1871,1877096929870391,187
PowysGwernyfed1,189Brecon and RadnorshireBrecon and Radnorshire0000-10000852852509492145028852
PowysHay1,239Brecon and RadnorshireBrecon and Radnorshire00452012100700018888811210747116888
PowysKnighton2,360Brecon and RadnorshireBrecon and Radnorshire007250360001,13005611,691335321,27033181,691
PowysLlanafanfawr1,112Brecon and RadnorshireBrecon and Radnorshire0000-10000797797476462004726797
PowysLlanbadarn Fawr858Brecon and RadnorshireBrecon and Radnorshire0000-10000615615367351543620615
PowysLlandrindod East/Llandrindod West1,014Brecon and RadnorshireBrecon and Radnorshire00004730000727727434421824324727
PowysLlandrindod North1,386Brecon and RadnorshireBrecon and Radnorshire00006890000993993593572495932993
PowysLlandrindod South1,673Brecon and RadnorshireBrecon and Radnorshire0041504340058606131,1993663574036201,199
PowysLlanelwedd951Brecon and RadnorshireBrecon and Radnorshire00005530000682682407391714022682
PowysLlangattock824Brecon and RadnorshireBrecon and Radnorshire067123021509817903145911871162571810591
PowysLlangors874Brecon and RadnorshireBrecon and Radnorshire00-10000626006260062600626
PowysLlangunllo1,001Brecon and RadnorshireBrecon and Radnorshire0064057600720646718386372343821718
PowysLlangynidr844Brecon and RadnorshireBrecon and Radnorshire0000-10000605605361351523620605
PowysLlanwrtyd Wells1,401Brecon and RadnorshireBrecon and Radnorshire002135754100264716701,00540038432110221,005
PowysLlanyre914Brecon and RadnorshireBrecon and Radnorshire00005160000655655391381643921655
PowysMaescar/Llywel1,394Brecon and RadnorshireBrecon and Radnorshire00008640000999999597582515933999
PowysNantmel1,163Brecon and RadnorshireBrecon and Radnorshire0000-10000834834498482094927834
PowysOld Radnor1,263Brecon and RadnorshireBrecon and Radnorshire001500606001800726906433423624324906
PowysPresteigne2,021Brecon and RadnorshireBrecon and Radnorshire00-100001,448001,448001,448001,448
PowysRhayader1,712Brecon and RadnorshireBrecon and Radnorshire0036905820047607511,2274484366444241,227
PowysSt.David Within1,192Brecon and RadnorshireBrecon and Radnorshire0000-10000854854510492145028854
PowysSt.John2,506Brecon and RadnorshireBrecon and Radnorshire006160429001,05907371,796440421,24443241,796
PowysSt.Mary2,107Brecon and RadnorshireBrecon and Radnorshire00-100001,510001,510001,510001,510
PowysTalgarth1,309Brecon and RadnorshireBrecon and Radnorshire209024826242270032134313938457183995210938
PowysTalybont-on-Usk1,550Brecon and RadnorshireBrecon and Radnorshire0000-100001,1111,1116636427966361,111
PowysTawe-Uchaf1,702Brecon and RadnorshireBrecon and Radnorshire0010507450015101,0691,2206386241963351,220
PowysYnyscedwyn1,796Brecon and RadnorshireBrecon and Radnorshire0-100001,2870001,28701,2870001,287
PowysYscir868Brecon and RadnorshireBrecon and Radnorshire0000-10000622622371361563720622
PowysYstradgynlais2,035Brecon and RadnorshireBrecon and Radnorshire0-100001,4580001,45801,4580001,458
 Total Brecon and Radnorshire      2704,48911,71310521,76538,34213,2775,75517,1821,40472238,342

The transfer table below shows the votes cast in the old seat of Brecon and Radnorshire 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
CON13,277270013,007Transfer in 61.8% (= 13007 / 21041) of ward's transfer pool votes
LAB5,7554,48901,266Transfer in 6.0% (= 1266 / 21041) of ward's transfer pool votes
LIB17,18211,71305,469Transfer in 26.0% (= 5469 / 21041) of ward's transfer pool votes
NAT1,40410501,299Transfer in 6.2% (= 1299 / 21041) of ward's transfer pool votes
OTH72321,76521,0420Transfer away 96.7% (= 21042 / 21765) of ward's OTH votes
Total38,34138,34221,04121,041 

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

New seat: Brecon and Radnorshire

The new seat of Brecon and Radnorshire 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
PowysAber-craf1,132Brecon and RadnorshireBrecon and Radnorshire9256314095811
PowysBeguildy1,075Brecon and RadnorshireBrecon and Radnorshire460441934525770
PowysBronllys963Brecon and RadnorshireBrecon and Radnorshire412401734122690
PowysBuilth1,835Brecon and RadnorshireBrecon and Radnorshire7857633078431,315
PowysBwlch753Brecon and RadnorshireBrecon and Radnorshire0054000540
PowysCrickhowell2,367Brecon and RadnorshireBrecon and Radnorshire001,696001,696
PowysCwm-twrch1,522Brecon and RadnorshireBrecon and Radnorshire01,0910001,091
PowysDisserth and Trecoed939Brecon and RadnorshireBrecon and Radnorshire0067300673
PowysFelin-fâch997Brecon and RadnorshireBrecon and Radnorshire427411794223715
PowysGlasbury1,656Brecon and RadnorshireBrecon and Radnorshire7096929870391,187
PowysGwernyfed1,189Brecon and RadnorshireBrecon and Radnorshire509492145028852
PowysHay1,239Brecon and RadnorshireBrecon and Radnorshire11210747116888
PowysKnighton2,360Brecon and RadnorshireBrecon and Radnorshire335321,27033181,691
PowysLlanafanfawr1,112Brecon and RadnorshireBrecon and Radnorshire476462004726797
PowysLlanbadarn Fawr858Brecon and RadnorshireBrecon and Radnorshire367351543620615
PowysLlandrindod East/Llandrindod West1,014Brecon and RadnorshireBrecon and Radnorshire434421824324727
PowysLlandrindod North1,386Brecon and RadnorshireBrecon and Radnorshire593572495932993
PowysLlandrindod South1,673Brecon and RadnorshireBrecon and Radnorshire3663574036201,199
PowysLlanelwedd951Brecon and RadnorshireBrecon and Radnorshire407391714022682
PowysLlangattock824Brecon and RadnorshireBrecon and Radnorshire1871162571810591
PowysLlangors874Brecon and RadnorshireBrecon and Radnorshire0062600626
PowysLlangunllo1,001Brecon and RadnorshireBrecon and Radnorshire386372343821718
PowysLlangynidr844Brecon and RadnorshireBrecon and Radnorshire361351523620605
PowysLlanwrtyd Wells1,401Brecon and RadnorshireBrecon and Radnorshire40038432110221,005
PowysLlanyre914Brecon and RadnorshireBrecon and Radnorshire391381643921655
PowysMaescar/Llywel1,394Brecon and RadnorshireBrecon and Radnorshire597582515933999
PowysNantmel1,163Brecon and RadnorshireBrecon and Radnorshire498482094927834
PowysOld Radnor1,263Brecon and RadnorshireBrecon and Radnorshire433423624324906
PowysPresteigne2,021Brecon and RadnorshireBrecon and Radnorshire001,448001,448
PowysRhayader1,712Brecon and RadnorshireBrecon and Radnorshire4484366444241,227
PowysSt.David Within1,192Brecon and RadnorshireBrecon and Radnorshire510492145028854
PowysSt.John2,506Brecon and RadnorshireBrecon and Radnorshire440421,24443241,796
PowysSt.Mary2,107Brecon and RadnorshireBrecon and Radnorshire001,510001,510
PowysTalgarth1,309Brecon and RadnorshireBrecon and Radnorshire457183995210938
PowysTalybont-on-Usk1,550Brecon and RadnorshireBrecon and Radnorshire6636427966361,111
PowysTawe-Uchaf1,702Brecon and RadnorshireBrecon and Radnorshire6386241963351,220
PowysYnyscedwyn1,796Brecon and RadnorshireBrecon and Radnorshire01,2870001,287
PowysYscir868Brecon and RadnorshireBrecon and Radnorshire371361563720622
PowysYstradgynlais2,035Brecon and RadnorshireBrecon and Radnorshire01,4580001,458
 Total  Brecon and Radnorshire13,2775,75517,1821,40472238,341

This seat was actually unchanged by the Boundary Commission, so these calculations are shown for information only. The actual general election result for 2005 should be used for this seat.