Motherwell, Wishaw and Bellshill: New Boundaries 2013 Calculation

This page shows the detail of the calculations performed to estimate the general election result for 2010 had the new boundaries for Motherwell, Wishaw and Bellshill 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 2010. 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 (and sometimes in Scotland 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 closest to 2010 from the period 2007-2011. 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 results have not yet been acquired, and the implied result is still provisional and will be improved later.

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.

List of old seats forming part of Motherwell, Wishaw and Bellshill

The old seat(s) needed are:

Old seat: Coatbridge, Chryston and Bellshill

Workings for Coatbridge, Chryston and Bellshill

The raw vote table shows the district council election results for all the wards in the old seat of Coatbridge, Chryston and Bellshill. The first block shows the actual results, the second block shows the turnout-adjusted results. Details of the transfer calculation are given below this table.

Old seat: Coatbridge, Chryston and BellshillActual ResultsTurnout-adjusted Results
DistrictWardElection
Year
Electorate
2010
CON
Votes
LAB
Votes
LIB
Votes
NAT
Votes
OTH
Votes
CON
Votes
LAB
Votes
LIB
Votes
NAT
Votes
OTH
Votes
Total
Votes
North LanarkshireBellshill [1]20077,2253662,42501,9702853092,04901,6652414,264
North LanarkshireCoatbridge North and Glenboig [1]200712,2687143,22601,9838237663,46302,1298837,241
North LanarkshireCoatbridge South200710,9453922,73901,5031725273,68202,0202316,460
North LanarkshireCoatbridge West200711,1772513,34801,2181923314,41001,6042536,598
North LanarkshireCumbernauld North [2]20073,3513752,9383212,2861,075106831916463041,978
North LanarkshireMossend and Holytown [3]20071,6383862,56601,36519183550029341967
North LanarkshireStrathkelvin [1]200712,2978724,31202,0554098284,09201,9503887,258
North LanarkshireThorniewood200711,6364553,93401,36905434,69301,63306,869
 Total 70,537     3,49323,7709111,9402,34141,635

The transfer table below shows the votes cast in the old seat of Coatbridge, Chryston and Bellshill 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 2010
Votes
Local Election
Turnout-adjusted
Votes
Votes to
transfer
away
Votes to
transfer
into
Ward Transfers needed
CON3,3743,4931190Transfer away 3.4% (= 119 / 3493) of ward's CON votes
LAB27,72823,77003,958Transfer in 53.6% (= 3958 / 7386) of ward's transfer pool votes
LIB3,5199103,428Transfer in 46.4% (= 3428 / 7386) of ward's transfer pool votes
NAT7,01411,9404,9260Transfer away 41.3% (= 4926 / 11940) of ward's NAT votes
OTH02,3412,3410Transfer away 100.0% (= 2341 / 2341) of ward's OTH votes
Total41,63541,6357,3867,386 

Main table for Coatbridge, Chryston and Bellshill

The main table shows the transfer-adjusted results for each ward in the old seat of Coatbridge, Chryston and Bellshill, as well as showing which new seat each ward is in.

Old seat: Coatbridge, Chryston and BellshillTransfer-adjusted Results
DistrictWardElectorate
2010
New Seat CON
Votes
LAB
Votes
LIB
Votes
NAT
Votes
OTH
Votes
Total
Votes
North LanarkshireBellshill [1]7,225Motherwell, Wishaw and Bellshill2982,55243697804,264
North LanarkshireCoatbridge North and Glenboig [1]12,268Cumbernauld and Coatbridge North7404,4218301,25107,241
North LanarkshireCoatbridge South10,945Airdrie and Coatbridge South5094,2625021,18706,460
North LanarkshireCoatbridge West11,177Cumbernauld and Coatbridge North3204,90643094206,598
North LanarkshireCumbernauld North [2]3,351Cumbernauld and Coatbridge North1021,13935737901,978
North LanarkshireMossend and Holytown [3]1,638Airdrie and Coatbridge South80638761720967
North LanarkshireStrathkelvin [1]12,297Cumbernauld and Coatbridge North8004,7465671,14607,258
North LanarkshireThorniewood11,636Motherwell, Wishaw and Bellshill5255,06432195906,869
 Total70,537 3,37427,7283,5197,014041,635

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

Old seat: Motherwell and Wishaw

Workings for Motherwell and Wishaw

The raw vote table shows the district council election results for all the wards in the old seat of Motherwell and Wishaw. The first block shows the actual results, the second block shows the turnout-adjusted results. Details of the transfer calculation are given below this table.

Old seat: Motherwell and WishawActual ResultsTurnout-adjusted Results
DistrictWardElection
Year
Electorate
2010
CON
Votes
LAB
Votes
LIB
Votes
NAT
Votes
OTH
Votes
CON
Votes
LAB
Votes
LIB
Votes
NAT
Votes
OTH
Votes
Total
Votes
North LanarkshireBellshill [2]20073,6123662,42501,9702851531,01408241192,110
North LanarkshireMossend and Holytown [1]20076,7453862,56601,3651913372,24401,1931673,941
North LanarkshireMotherwell North [1]200710,2363833,8334651,4803793503,5064251,3543475,982
North LanarkshireMotherwell South East and Ravenscraig200712,6486992,94902,0482408703,67202,5502997,391
North LanarkshireMotherwell West200710,2138122,50701,5732059512,93501,8422405,968
North LanarkshireMurdostoun [2]20072,2346142,90701,3222,40111152402384331,306
North LanarkshireMurdostoun [3]20077,1316142,90701,3222,4013531,67207601,3814,166
North LanarkshireWishaw200714,1307614,29802,23208624,86802,52808,258
 Total 66,949     3,98720,43542511,2892,98639,122

The transfer table below shows the votes cast in the old seat of Motherwell and Wishaw 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 2010
Votes
Local Election
Turnout-adjusted
Votes
Votes to
transfer
away
Votes to
transfer
into
Ward Transfers needed
CON3,6603,9873270Transfer away 8.2% (= 327 / 3987) of ward's CON votes
LAB23,91020,43503,475Transfer in 50.4% (= 3475 / 6890) of ward's transfer pool votes
LIB3,84042503,415Transfer in 49.6% (= 3415 / 6890) of ward's transfer pool votes
NAT7,10411,2894,1850Transfer away 37.1% (= 4185 / 11289) of ward's NAT votes
OTH6092,9862,3770Transfer away 79.6% (= 2377 / 2986) of ward's OTH votes
Total39,12339,1226,8906,890 

Main table for Motherwell and Wishaw

The main table shows the transfer-adjusted results for each ward in the old seat of Motherwell and Wishaw, as well as showing which new seat each ward is in.

Old seat: Motherwell and WishawTransfer-adjusted Results
DistrictWardElectorate
2010
New Seat CON
Votes
LAB
Votes
LIB
Votes
NAT
Votes
OTH
Votes
Total
Votes
North LanarkshireBellshill [2]3,612Motherwell, Wishaw and Bellshill1401,222205519242,110
North LanarkshireMossend and Holytown [1]6,745Airdrie and Coatbridge South3092,548299751343,941
North LanarkshireMotherwell North [1]10,236Motherwell, Wishaw and Bellshill3213,913825852715,982
North LanarkshireMotherwell South East and Ravenscraig12,648Motherwell, Wishaw and Bellshill7994,3056221,605617,391
North LanarkshireMotherwell West10,213Motherwell, Wishaw and Bellshill8733,4154721,159495,968
North LanarkshireMurdostoun [2]2,234Airdrie and Coatbridge South102747219150881,306
North LanarkshireMurdostoun [3]7,131Motherwell, Wishaw and Bellshill3242,3836994782824,166
North LanarkshireWishaw14,130Motherwell, Wishaw and Bellshill7915,3765001,59108,258
 Total66,949 3,65923,9093,8417,10560939,122

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

Old seat: Airdrie and Shotts

Workings for Airdrie and Shotts

The raw vote table shows the district council election results for all the wards in the old seat of Airdrie and Shotts. The first block shows the actual results, the second block shows the turnout-adjusted results. Details of the transfer calculation are given below this table.

Old seat: Airdrie and ShottsActual ResultsTurnout-adjusted Results
DistrictWardElection
Year
Electorate
2010
CON
Votes
LAB
Votes
LIB
Votes
NAT
Votes
OTH
Votes
CON
Votes
LAB
Votes
LIB
Votes
NAT
Votes
OTH
Votes
Total
Votes
North LanarkshireAirdrie Central200711,5733182,08501,9241,0763892,55002,3531,3166,608
North LanarkshireAirdrie North200714,3564932,4492292,8556086093,0262833,5277518,196
North LanarkshireAirdrie South200714,4826252,9885662,8451737183,4336503,2691998,269
North LanarkshireCoatbridge North and Glenboig [2]20071,8047143,22601,98382310949303031261,031
North LanarkshireFortissat200711,21002,72101,3961,52903,08501,5821,7336,400
North LanarkshireMossend and Holytown [2]20071,4463862,56601,36519171470025035826
North LanarkshireMotherwell North [2]20073,1553833,8334651,4803791051,0561284081041,801
North LanarkshireMurdostoun [1]20074,7636142,90701,3222,4012301,09104969012,718
 Total 62,789     2,23115,2041,06112,1885,16535,849

The transfer table below shows the votes cast in the old seat of Airdrie and Shotts 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 2010
Votes
Local Election
Turnout-adjusted
Votes
Votes to
transfer
away
Votes to
transfer
into
Ward Transfers needed
CON3,1332,2310902Transfer in 10.8% (= 902 / 8384) of ward's transfer pool votes
LAB20,84915,20405,645Transfer in 67.3% (= 5645 / 8384) of ward's transfer pool votes
LIB2,8981,06101,837Transfer in 21.9% (= 1837 / 8384) of ward's transfer pool votes
NAT8,44112,1883,7470Transfer away 30.7% (= 3747 / 12188) of ward's NAT votes
OTH5285,1654,6370Transfer away 89.8% (= 4637 / 5165) of ward's OTH votes
Total35,84935,8498,3848,384 

Main table for Airdrie and Shotts

The main table shows the transfer-adjusted results for each ward in the old seat of Airdrie and Shotts, as well as showing which new seat each ward is in.

Old seat: Airdrie and ShottsTransfer-adjusted Results
DistrictWardElectorate
2010
New Seat CON
Votes
LAB
Votes
LIB
Votes
NAT
Votes
OTH
Votes
Total
Votes
North LanarkshireAirdrie Central11,573Airdrie and Coatbridge South5943,8334171,6301356,608
North LanarkshireAirdrie North14,356Airdrie and Coatbridge South7984,2106682,443778,196
North LanarkshireAirdrie South14,482Airdrie and Coatbridge South8454,2309092,264208,269
North LanarkshireCoatbridge North and Glenboig [2]1,804Cumbernauld and Coatbridge North13163245210131,031
North LanarkshireFortissat11,210Airdrie and Coatbridge South2204,4604471,0961776,400
North LanarkshireMossend and Holytown [2]1,446Airdrie and Coatbridge South83543241734826
North LanarkshireMotherwell North [2]3,155Motherwell, Wishaw and Bellshill1291,203176283111,801
North LanarkshireMurdostoun [1]4,763Airdrie and Coatbridge South3331,738211344922,718
 Total62,789 3,13320,8492,8978,44352935,849

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

New seat: Motherwell, Wishaw and Bellshill

The new seat of Motherwell, Wishaw and Bellshill is made up of the following wards, with the transfer-adjusted votes shown.

New seat: Motherwell, Wishaw and Bellshill
DistrictWardElectorate
2010
Old Seat CON
Votes
LAB
Votes
LIB
Votes
NAT
Votes
OTH
Votes
Total
Votes
North LanarkshireBellshill [1]7,225Coatbridge, Chryston and Bellshill2982,55243697804,264
North LanarkshireThorniewood11,636Coatbridge, Chryston and Bellshill5255,06432195906,869
North LanarkshireBellshill [2]3,612Motherwell and Wishaw1401,222205519242,110
North LanarkshireMotherwell North [1]10,236Motherwell and Wishaw3213,913825852715,982
North LanarkshireMotherwell South East and Ravenscraig12,648Motherwell and Wishaw7994,3056221,605617,391
North LanarkshireMotherwell West10,213Motherwell and Wishaw8733,4154721,159495,968
North LanarkshireMurdostoun [3]7,131Motherwell and Wishaw3242,3836994782824,166
North LanarkshireWishaw14,130Motherwell and Wishaw7915,3765001,59108,258
North LanarkshireMotherwell North [2]3,155Airdrie and Shotts1291,203176283111,801
 Total79,986 4,20029,4334,2568,42449846,811

And these are the implied results for 2010 for the new seat of Motherwell, Wishaw and Bellshill.