Montgomeryshire: 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 Montgomeryshire 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: Montgomeryshire

The main table shows the district council election results for all the wards in the old seat of Montgomeryshire. 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
PowysBanwy742MontgomeryshireMontgomeryshire0000-10000493493149732064419493
PowysBerriew1,027MontgomeryshireMontgomeryshire000057300006826822061022856126682
PowysBlaen Hafren1,718MontgomeryshireMontgomeryshire0000-100001,1421,142345171477102441,142
PowysCaersws1,710MontgomeryshireMontgomeryshire0000-100001,1361,136344170475102441,136
PowysChurchstoke1,259MontgomeryshireMontgomeryshire0000-100008378372531253497532837
PowysDolforwyn1,307MontgomeryshireMontgomeryshire0000-100008688682621303627833868
PowysForden1,056MontgomeryshireMontgomeryshire00-10000702007020070200702
PowysGlantwymyn1,614MontgomeryshireMontgomeryshire0000-100001,0721,07232416044896411,072
PowysGuilsfield1,739MontgomeryshireMontgomeryshire0000-100001,1551,155349173482104451,155
PowysKerry1,541MontgomeryshireMontgomeryshire0000-100001,0241,02431015342892391,024
PowysLlanbrynmair753MontgomeryshireMontgomeryshire0000-10000500500151742094519500
PowysLlandinam1,119MontgomeryshireMontgomeryshire0000-100007447442251113116729744
PowysLlandrinio1,496MontgomeryshireMontgomeryshire0000-100009949943011484158938994
PowysLlandysilio1,260MontgomeryshireMontgomeryshire0000-100008378372531253497532837
PowysLlanfair Caereinion1,228MontgomeryshireMontgomeryshire0000-100008168162471223417331816
PowysLlanfihangel821MontgomeryshireMontgomeryshire0000-10000546546165812284921546
PowysLlanfyllin1,096MontgomeryshireMontgomeryshire000052700007287282201093046528728
PowysLlanidloes2,247MontgomeryshireMontgomeryshire00-100001,493001,493001,493001,493
PowysLlanrhaeadr-ym-Mochnant1,191MontgomeryshireMontgomeryshire0000-100007917912391183307130791
PowysLlansantffraid1,429MontgomeryshireMontgomeryshire0000-100009499492871423968537949
PowysMachynlleth1,765MontgomeryshireMontgomeryshire0000-100001,1731,173355175490105451,173
PowysMeifod991MontgomeryshireMontgomeryshire0000-10000658658199982755925658
PowysMontgomery983MontgomeryshireMontgomeryshire001920369002240430654130644033816654
PowysNewtown Central2,267MontgomeryshireMontgomeryshire1950004584500001,0561,50676915844195411,506
PowysNewtown East1,565MontgomeryshireMontgomeryshire00-100001,040001,040001,040001,040
PowysNewtown Llanllwchaiarn North1,644MontgomeryshireMontgomeryshire2550357004550637001,0924550637001,092
PowysNewtown Llanllwchaiarn West1,368MontgomeryshireMontgomeryshire0000-100009099092751363808135909
PowysNewtown South1,248MontgomeryshireMontgomeryshire00930380001630666829201994416026829
PowysRhiwcynon1,459MontgomeryshireMontgomeryshire0000-100009699692931454058737969
PowysTrewern933MontgomeryshireMontgomeryshire0000-10000620620187922595524620
PowysWelshpool Castle1,093MontgomeryshireMontgomeryshire001440246002680458726138684594117726
PowysWelshpool Gungrog1,884MontgomeryshireMontgomeryshire1820450003600891001,2513600891001,251
PowysWelshpool Llanerchyddol1,744MontgomeryshireMontgomeryshire0024805460036207971,15924111969571311,159
 Total Montgomeryshire      1,26505,780023,05030,0958,2453,45315,4182,07789930,095

The transfer table below shows the votes cast in the old seat of Montgomeryshire 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
CON8,2461,26506,981Transfer in 31.5% (= 6981 / 22152) of ward's transfer pool votes
LAB3,454003,454Transfer in 15.6% (= 3454 / 22152) of ward's transfer pool votes
LIB15,4195,78009,639Transfer in 43.5% (= 9639 / 22152) of ward's transfer pool votes
NAT2,078002,078Transfer in 9.4% (= 2078 / 22152) of ward's transfer pool votes
OTH90023,05022,1500Transfer away 96.1% (= 22150 / 23050) of ward's OTH votes
Total30,09730,09522,15222,152 

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

Old seat: Clwyd South

The main table shows the district council election results for all the wards in the old seat of Clwyd South. 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
DenbighshireCorwen1,699Clwyd SouthClwyd South14200276499161003135651,039326207106350471,039
DenbighshireEfenechtyd [1]257Clwyd SouthClwyd West000-1000015701570001570157
DenbighshireLlanarmon-yn-Ial/Llandegla [1]384Clwyd SouthClwyd West429050100108012600234108012600234
DenbighshireLlandrillo864Clwyd SouthClwyd South00039115800037615252844552838612528
DenbighshireLlanfair Dyffryn Clwyd/Gwyddelwern [1]660Clwyd SouthClwyd West001472735920059109236404698610312419404
DenbighshireLlangollen2,956Clwyd SouthClwyd South2811542666591,2281961081864608581,808447423347517721,808
PowysLlanrhaeadr-ym-Mochnant/Llansilin1,358Clwyd SouthMontgomeryshire000083500008308302433041565569830
WrexhamBronington2,469Clwyd SouthClwyd South-100001,51000001,5101,51000001,510
WrexhamBrymbo2,019Clwyd SouthClwyd South0165007020235001,0001,23529360218866831,235
WrexhamBryn Cefn1,477Clwyd SouthClwyd South028100267046300440903129624822936903
WrexhamCefn3,614Clwyd SouthClwyd South01,32116601,08601,13414309332,2102731,47631862782,210
WrexhamChirk North1,867Clwyd SouthClwyd South0161005320265008761,14125658616558731,141
WrexhamChirk South1,405Clwyd SouthClwyd South033300354041600443859129578832937859
WrexhamCoedpoeth3,575Clwyd SouthClwyd South054129101,415052628301,3762,1854031,031542921152,185
WrexhamDyffryn Ceiriog/Ceiriog Valley1,740Clwyd SouthClwyd South0002596160003157491,064219275141365621,064
WrexhamEsclusham2,000Clwyd SouthClwyd South0265007040334008881,22226066016759741,222
WrexhamGwenfro1,239Clwyd SouthClwyd South0-100007580007580758000758
WrexhamJohnstown2,521Clwyd SouthClwyd South0444004920731008101,5412371,02815254681,541
WrexhamLlangollen Rural1,527Clwyd SouthClwyd South0146005980183007509332194581415062933
WrexhamMarchwiel1,870Clwyd SouthClwyd South084007680113001,0311,14430249119469861,144
WrexhamMinera1,923Clwyd SouthClwyd South0364003580593005831,17617080710939481,176
WrexhamNew Broughton2,474Clwyd SouthClwyd South0348004390669008441,51324797915956701,513
WrexhamOverton2,344Clwyd SouthClwyd South-100001,43300001,4331,43300001,433
WrexhamPant1,642Clwyd SouthClwyd South0221004860314006901,00420256713046571,004
WrexhamPenycae1,580Clwyd SouthClwyd South0221003020408005589661636121053746966
WrexhamPenycae and Ruabon South1,812Clwyd SouthClwyd South0192005620282008261,10824258515555691,108
WrexhamPlas Madoc1,180Clwyd SouthClwyd South0133100013102641980260722763592461721722
WrexhamPonciau3,531Clwyd SouthClwyd South042391001,319034474101,0742,15931473894371902,159
WrexhamRuabon1,873Clwyd SouthClwyd South02097614028203391232274571,146134506209257381,146
 Total Clwyd South      3,4088,4791,8591,95717,22932,9328,46014,8085,1053,1111,44632,932

The transfer table below shows the votes cast in the old seat of Clwyd South 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
CON8,4603,40805,052Transfer in 32.0% (= 5052 / 15781) of ward's transfer pool votes
LAB14,8088,47906,329Transfer in 40.1% (= 6329 / 15781) of ward's transfer pool votes
LIB5,1051,85903,246Transfer in 20.6% (= 3246 / 15781) of ward's transfer pool votes
NAT3,1111,95701,154Transfer in 7.3% (= 1154 / 15781) of ward's transfer pool votes
OTH1,44717,22915,7820Transfer away 91.6% (= 15782 / 17229) of ward's OTH votes
Total32,93132,93215,78115,781 

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

New seat: Montgomeryshire

The new seat of Montgomeryshire 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
PowysBanwy742MontgomeryshireMontgomeryshire149732064419493
PowysBerriew1,027MontgomeryshireMontgomeryshire2061022856126682
PowysBlaen Hafren1,718MontgomeryshireMontgomeryshire345171477102441,142
PowysCaersws1,710MontgomeryshireMontgomeryshire344170475102441,136
PowysChurchstoke1,259MontgomeryshireMontgomeryshire2531253497532837
PowysDolforwyn1,307MontgomeryshireMontgomeryshire2621303627833868
PowysForden1,056MontgomeryshireMontgomeryshire0070200702
PowysGlantwymyn1,614MontgomeryshireMontgomeryshire32416044896411,072
PowysGuilsfield1,739MontgomeryshireMontgomeryshire349173482104451,155
PowysKerry1,541MontgomeryshireMontgomeryshire31015342892391,024
PowysLlanbrynmair753MontgomeryshireMontgomeryshire151742094519500
PowysLlandinam1,119MontgomeryshireMontgomeryshire2251113116729744
PowysLlandrinio1,496MontgomeryshireMontgomeryshire3011484158938994
PowysLlandysilio1,260MontgomeryshireMontgomeryshire2531253497532837
PowysLlanfair Caereinion1,228MontgomeryshireMontgomeryshire2471223417331816
PowysLlanfihangel821MontgomeryshireMontgomeryshire165812284921546
PowysLlanfyllin1,096MontgomeryshireMontgomeryshire2201093046528728
PowysLlanidloes2,247MontgomeryshireMontgomeryshire001,493001,493
PowysLlanrhaeadr-ym-Mochnant/Llansilin1,358Clwyd SouthMontgomeryshire2433041565569830
PowysLlanrhaeadr-ym-Mochnant1,191MontgomeryshireMontgomeryshire2391183307130791
PowysLlansantffraid1,429MontgomeryshireMontgomeryshire2871423968537949
PowysMachynlleth1,765MontgomeryshireMontgomeryshire355175490105451,173
PowysMeifod991MontgomeryshireMontgomeryshire199982755925658
PowysMontgomery983MontgomeryshireMontgomeryshire130644033816654
PowysNewtown Central2,267MontgomeryshireMontgomeryshire76915844195411,506
PowysNewtown East1,565MontgomeryshireMontgomeryshire001,040001,040
PowysNewtown Llanllwchaiarn North1,644MontgomeryshireMontgomeryshire4550637001,092
PowysNewtown Llanllwchaiarn West1,368MontgomeryshireMontgomeryshire2751363808135909
PowysNewtown South1,248MontgomeryshireMontgomeryshire201994416026829
PowysRhiwcynon1,459MontgomeryshireMontgomeryshire2931454058737969
PowysTrewern933MontgomeryshireMontgomeryshire187922595524620
PowysWelshpool Castle1,093MontgomeryshireMontgomeryshire138684594117726
PowysWelshpool Gungrog1,884MontgomeryshireMontgomeryshire3600891001,251
PowysWelshpool Llanerchyddol1,744MontgomeryshireMontgomeryshire24111969571311,159
 Total  Montgomeryshire8,4883,75815,5742,13396930,925

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