Arfon: 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 Arfon 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: Caernarfon

The main table shows the district council election results for all the wards in the old seat of Caernarfon. 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
GwyneddAberdaron780CaernarfonDwyfor Meirionnydd000264200000264200464731206718219464
GwyneddAbererch1,057CaernarfonDwyfor Meirionnydd000-1000062906295489504340629
GwyneddAbersoch719CaernarfonDwyfor Meirionnydd000-1000042804283660342950428
GwyneddBethel1,051CaernarfonArfon000-1000062506255388494320625
GwyneddBontnewydd896CaernarfonArfon000-1000053305334575423680533
GwyneddBotwnnog734CaernarfonDwyfor Meirionnydd0000-10000437437110182102042437
GwyneddCadnant1,543CaernarfonArfon0790076008600831917209432194080917
GwyneddClynnog774CaernarfonDwyfor Meirionnydd000232334000189272461851407813026461
GwyneddCriccieth1,528CaernarfonDwyfor Meirionnydd00035634600046144890915225214131843909
GwyneddCwm-y-Glo712CaernarfonArfon0-100004240004240424000424
GwyneddDeiniolen1,371CaernarfonArfon000-10000816081670116655640816
GwyneddDolbenmaen918CaernarfonDwyfor Meirionnydd00323311000278268054623382991850546
GwyneddEfail-newydd/Buan1,050CaernarfonDwyfor Meirionnydd000-1000062506255388494320625
GwyneddGroeslon1,302CaernarfonArfon000-10000775077566110615350775
GwyneddLlanaelhaearn1,208CaernarfonDwyfor Meirionnydd000-10000719071962102574970719
GwyneddLlanbedrog897CaernarfonDwyfor Meirionnydd000-1000053405344675423690534
GwyneddLlanberis1,461CaernarfonArfon00027362400026560587017528916218358870
GwyneddLlanengan886CaernarfonDwyfor Meirionnydd000237361000209318527981629114430527
GwyneddLlanllyfni951CaernarfonArfon01110383001270439056637189353030566
GwyneddLlanrug1,372CaernarfonArfon000-10000816081670116655640816
GwyneddLlanwnda1,518CaernarfonArfon000-10000903090377128726240903
GwyneddLlanystumdwy1,551CaernarfonDwyfor Meirionnydd000-10000923092379131736380923
GwyneddMenai (Caernarfon)1,808CaernarfonArfon0005562890007083681,076154254142489351,076
GwyneddMorfa Nefyn1,030CaernarfonDwyfor Meirionnydd0002742710003083056131031709621229613
GwyneddNefyn1,072CaernarfonDwyfor Meirionnydd0002852690003283106381061759822629638
GwyneddPeblig (Caernarfon)1,550CaernarfonArfon000-10000922092279131736370922
GwyneddPenisarwaun1,348CaernarfonArfon000-10000802080269114645540802
GwyneddPenygroes1,387CaernarfonArfon000-10000825082571117655700825
GwyneddPorthmadog East1,312CaernarfonDwyfor Meirionnydd00031533500037840278013422112426138780
GwyneddPorthmadog West1,551CaernarfonDwyfor Meirionnydd00044241600047544792215325314232843922
GwyneddPorthmadog-Tremadog1,087CaernarfonDwyfor Meirionnydd000-1000064706475592514470647
GwyneddPwllheli North1,670CaernarfonDwyfor Meirionnydd00040931200056443099415725914539041994
GwyneddPwllheli South1,493CaernarfonDwyfor Meirionnydd000-10000888088876126716140888
GwyneddSeiont2,391CaernarfonArfon08790443633064003224611,423144877133222441,423
GwyneddTalysarn1,385CaernarfonArfon00029631900039742782414223413127441824
GwyneddTudweiliog754CaernarfonDwyfor Meirionnydd000-1000044904493863353100449
GwyneddWaunfawr1,279CaernarfonArfon0000-10000761761192317178073761
GwyneddY Felinheli1,669CaernarfonArfon038400354051700476993120715111045993
 Total Caernarfon      01,79427818,4347,49828,0043,4847,5403,50912,74772328,004

The transfer table below shows the votes cast in the old seat of Caernarfon 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
CON3,483003,483Transfer in 28.0% (= 3483 / 12457) of ward's transfer pool votes
LAB7,5381,79405,744Transfer in 46.1% (= 5744 / 12457) of ward's transfer pool votes
LIB3,50827803,230Transfer in 25.9% (= 3230 / 12457) of ward's transfer pool votes
NAT12,74718,4345,6870Transfer away 30.9% (= 5687 / 18434) of ward's NAT votes
OTH7237,4986,7750Transfer away 90.4% (= 6775 / 7498) of ward's OTH votes
Total27,99928,00412,45712,457 

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

Old seat: Conwy

The main table shows the district council election results for all the wards in the old seat of Conwy. 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
ConwyBryn1,383ConwyAberconwy0495179000621225008461362720500846
ConwyCaerhun1,560ConwyAberconwy02340067502460070995537442300156955
ConwyCapelulo1,209ConwyAberconwy1091299002121491771230290739309253112064739
ConwyConwy3,233ConwyAberconwy2154292216287051933861995656341,9777156341813041401,977
ConwyCraig-y-Don2,837ConwyAberconwy892113579664192635804124721371,736878195376254301,736
ConwyDeganwy3,197ConwyAberconwy958413752032576533060102601,9569374125480571,956
ConwyGogarth3,042ConwyAberconwy704467365061261040531605301,86190854628801171,861
ConwyLlansanffraid1,860ConwyAberconwy00-100001,138001,13866311,039001,138
ConwyMarl2,976ConwyAberconwy0867797000949872001,82151973796001,821
ConwyMostyn (Conwy)2,700ConwyAberconwy2871,009342039423382027803201,6514189082530701,651
ConwyPandy1,428ConwyAberconwy0164475206001704912130874952154481140874
ConwyPant-yr-afon/Penmaenan2,067ConwyAberconwy1015871420621438322010881,2642018591830191,264
ConwyPenrhyn3,825ConwyAberconwy82944937801,47961933528201,1042,3401,21861925702442,340
ConwyPensarn2,091ConwyAberconwy01643533640023851352901,28019533046828501,280
ConwyTudno3,597ConwyAberconwy34679202851,19329166602401,0042,20189595301292222,201
GwyneddArllechwedd1,059ConwyArfon002902670003373110648116553071670648
GwyneddDeiniol1,014ConwyArfon0545677001791862550620902221691370620
GwyneddDewi1,217ConwyArfon0364381350050553187074561534481000745
GwyneddGarth814ConwyArfon00012511100026423449820597014251498
GwyneddGerlan1,598ConwyArfon04740438005080470097814657702530978
GwyneddGlyder1,412ConwyArfon01530409002350629086419632803390864
GwyneddHendre976ConwyArfon0156015400301029705989234501600598
GwyneddHirael1,070ConwyArfon093217128001393241910654781762951020654
GwyneddMarchog1,755ConwyArfon0496003030667004071,07421476900901,074
GwyneddMenai (Bangor)1,899ConwyArfon0694191120013481121701,16211518874011701,162
GwyneddOgwen1,729ConwyArfon000-100001,05801,058330157057001,058
GwyneddPentir1,820ConwyArfon0254045400399071401,113223504038501,113
GwyneddTregarth & Mynydd Llandygai1,641ConwyArfon04430322295042003052791,0042425350164611,004
 Total Conwy      3,6389,7427,3626,9175,99633,6559,39612,4786,7233,7291,32633,655

The transfer table below shows the votes cast in the old seat of Conwy 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
CON9,3983,63805,760Transfer in 67.8% (= 5760 / 8497) of ward's transfer pool votes
LAB12,4799,74202,737Transfer in 32.2% (= 2737 / 8497) of ward's transfer pool votes
LIB6,7237,3626390Transfer away 8.7% (= 639 / 7362) of ward's LIB votes
NAT3,7306,9173,1870Transfer away 46.1% (= 3187 / 6917) of ward's NAT votes
OTH1,3275,9964,6690Transfer away 77.9% (= 4669 / 5996) of ward's OTH votes
Total33,65733,6558,4978,497 

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

New seat: Arfon

The new seat of Arfon 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
GwyneddArllechwedd1,059ConwyArfon116553071670648
GwyneddBethel1,051CaernarfonArfon5388494320625
GwyneddBontnewydd896CaernarfonArfon4575423680533
GwyneddCadnant1,543CaernarfonArfon209432194080917
GwyneddCwm-y-Glo712CaernarfonArfon0424000424
GwyneddDeiniol1,014ConwyArfon902221691370620
GwyneddDeiniolen1,371CaernarfonArfon70116655640816
GwyneddDewi1,217ConwyArfon61534481000745
GwyneddGarth814ConwyArfon20597014251498
GwyneddGerlan1,598ConwyArfon14657702530978
GwyneddGlyder1,412ConwyArfon19632803390864
GwyneddGroeslon1,302CaernarfonArfon66110615350775
GwyneddHendre976ConwyArfon9234501600598
GwyneddHirael1,070ConwyArfon781762951020654
GwyneddLlanberis1,461CaernarfonArfon17528916218358870
GwyneddLlanllyfni951CaernarfonArfon37189353030566
GwyneddLlanrug1,372CaernarfonArfon70116655640816
GwyneddLlanwnda1,518CaernarfonArfon77128726240903
GwyneddMarchog1,755ConwyArfon21476900901,074
GwyneddMenai (Bangor)1,899ConwyArfon11518874011701,162
GwyneddMenai (Caernarfon)1,808CaernarfonArfon154254142489351,076
GwyneddOgwen1,729ConwyArfon330157057001,058
GwyneddPeblig (Caernarfon)1,550CaernarfonArfon79131736370922
GwyneddPenisarwaun1,348CaernarfonArfon69114645540802
GwyneddPentir1,820ConwyArfon223504038501,113
GwyneddPenygroes1,387CaernarfonArfon71117655700825
GwyneddSeiont2,391CaernarfonArfon144877133222441,423
GwyneddTalysarn1,385CaernarfonArfon14223413127441824
GwyneddTregarth & Mynydd Llandygai1,641ConwyArfon2425350164611,004
GwyneddWaunfawr1,279CaernarfonArfon192317178073761
GwyneddY Felinheli1,669CaernarfonArfon120715111045993
 Total  Arfon3,8979,2243,2148,96758225,887

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