Archive for category 2010 Election Results

North East 2010 under RTU


This is an attempt to work out how the election results would have looked in 2010 under the Regional Top-Up system for the North East. There are 29 MPs in the North East. Under Regional Top-Up, 23 of them would be Constituency MPs and 6 would be Regional MPs.

The North East is an unusually small region, and I would recommend serious consideration being given to amalgamating it with Yorkshire & the Humber to form a large region like the North West.

It is worth remembering that the smaller parties may not have stood in every seat, so their total vote is less than it would have been under Regional Top-Up. RTU allows parties to appear on every ballot in a region, even if there is no local candidate, as long as the party has candidates in at least 1/3 of the seats. Hence the electorate would have a much more even choice across every region.

This is how the North East looked after the 2010 election:

Party Current MPs Total votes Percentage MPs under PR
Labour 25 518,261 43.6 13
Conservative 2 282,347 23.7 7
Lib Dem 2 280,468 23.6 7
BNP 0 51,940 4.4 1
UKIP 0 32,196 2.7 0

The above table includes a column for how the number of MPs should look (roughly) under a directly proportional system. Both the Conservatives and Lib Dems are five MPs short of what their vote deserves, while Labour are massively over represented. The BNP gained a substantial share of the vote and deserved one MP.

Assumptions


Let’s assume that, after the number of constituencies has been reduced in the North East from 29 to 23, the MPs elected under FPTP are still returned in proportion to the 2010 result. That will give us 19 Labour, 2 Conservative and 2 Lib Dem MPs. The remaining 6 will be Regional MPs (RMPs).

Step 1: Add up the votes for each party


We have already done this at the top of this page; the table includes the total votes across the North East for each of the major parties.

Step 2: Create Party Lists


If this were for real we would look at all of the candidates for each party across the North East region, and list them in order of the percentage of the vote they received (grouped by party), removing those who were successfully elected. Each party should end up with a list of candidates in order of public popularity.

For example, the UKIP list would look like this (for the top five):

Name Percentage Constituency
Stephen Allison 7 Hartlepool
Martyn Aiken 4.7 Easington
Martin Bulmer 4.5 Redcar
James Condon 4.3 Blyth Valley
Stuart Lightwing 4.1 Middlesbrough South & Cleveland East

Step 3: Calculate the minimum percentage for an elected MP


Under a directly proportional system in the North East, we can calculate the percentage of the vote needed to get an MP elected: 100%/29MPs = 3.45% per MP.

UKIP, and every other party with a smaller fraction of the vote, is below the 3.45% minimum threshold for an MP in the North East. We can now discount all of those parties from the following calculations.

Step 4: Assign the Regional seats


We use the d’Hondt system to distribute the 6 Regional MP seats. The maths gets a little awkward to follow here, so if you aren’t interested, skip to the last couple of lines of the table below to see how the seats are distributed proportionally.

Note that we use the number of seats won under FPTP as the starting number of seats for each party. This requires an initial step to convert the total votes into the equivalent tally as if the first 23 seats had been distributed under the d’Hondt formula. For example, the Conservatives’ 282,347 votes are divided by 1 + number of seats (2), giving 282,347/3 = 94,116.

The numbers in red indicate which party gains the seat. The number in brackets indicates the number of seats held at each stage of the calculation.

Labour (19) Conservative (2) Lib Dem (2) BNP (0)
Total Votes: 518,261 282,347 280,468 51,940
Initial Step: 25,913 94,116 93,489 51,940
Seat 1 25,913 70,587 (3) 93,489 51,940
Seat 2 25,913 70,587 70,117 (3) 51,940
Seat 3 25,913 56,469 (4) 70,117 51,940
Seat 4 25,913 56,469 56,094 (4) 51,940
Seat 5 25,913 47,058 (5) 56,094 51,940
Seat 6 25,913 47,058 46,745 (5) 51,940
Regional MPs: 0 3 3 0
Total MPs: 19 6 6 0

This gives us a result closer to the numbers under a direct Proportional Representation scheme. The BNP missed out on their seat, but only just.

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North West 2010 under RTU


This is an attempt to work out how the election results would have looked in 2010 under the Regional Top-Up system for the North West. There are 75 MPs in the North West. Under Regional Top-Up, 59 of them would be Constituency MPs and 16 would be Regional MPs.

It is worth remembering that the smaller parties may not have stood in every seat, so their total vote is less than it would have been under Regional Top-Up. RTU allows parties to appear on every ballot in a region, even if there is no local candidate, as long as the party has candidates in at least 1/3 of the seats. Hence the electorate would have a much more even choice across every region.

This is how the North West looked after the 2010 election:

Party Current MPs Total votes Percentage MPs under PR
Labour 47 1,292,978 39.5 30
Conservative 22 1,038,967 31.7 24
Lib Dem 6 707,770 21.6 17
UKIP 0 103,782 3.2 2
BNP 0 70,032 2.1 2
Green 0 17,046 0.5 0

The above table includes a column for how the number of MPs should look (roughly) under a directly proportional system. The Lib Dems are, once again, eleven MPs short of what their vote deserves, while Labour are massively over represented. UKIP and the BNP deserved at least an MP each.

Assumptions


Let’s assume that, after the number of constituencies has been reduced in the North West from 75 to 59, the MPs elected under FPTP are still returned in proportion to the 2010 result. That will give us 37 Labour, 17 Conservative and 5 Lib Dem MPs. The remaining 16 will be Regional MPs (RMPs).

Step 1: Add up the votes for each party


We have already done this at the top of this page; the table includes the total votes across the North West for each of the major parties.

Step 2: Create Party Lists


If this were for real we would look at all of the candidates for each party across the North West region, and list them in order of the percentage of the vote they received (grouped by party), removing those who were successfully elected. Each party should end up with a list of candidates in order of public popularity.

For example, the UKIP list would look like this (for the top five):

Name Percentage Constituency
Stephen Rush 6.7 Ribble Valley
Paul Nuttall 6.1 Bootle
Alan Freeman 5.7 Wigan
William Robinson 5.5 Denton & Reddish
John Whittaker 5.1 Hazel Grove

Step 3: Calculate the minimum percentage for an elected MP


Under a directly proportional system in the North West, we can calculate the percentage of the vote needed to get an MP elected: 100%/75MPs = 1.34% per MP.

The Green Party, and every other party with a smaller fraction of the vote, is below the 1.34% minimum threshold for an MP in the North West. We can now discount all of those parties from the following calculations.

Step 4: Assign the Regional seats


We use the d’Hondt system to distribute the 16 Regional MP seats. The maths gets a little awkward to follow here, so if you aren’t interested, skip to the last couple of lines of the table below to see how the seats are distributed proportionally.

Note that we use the number of seats won under FPTP as the starting number of seats for each party. This requires an initial step to convert the total votes into the equivalent tally as if the first 59 seats had been distributed under the d’Hondt formula. For example, the Conservatives’ 1,038,967 votes are divided by 1 + number of seats (17), giving 1,038,967/18 = 57,720.

The numbers in red indicate which party gains the seat. The number in brackets indicates the number of seats held at each stage of the calculation.

Labour (37) Conservative (17) Lib Dem (5) UKIP (0) BNP (0)
Total Votes: 1,292,978 1,038,967 707,770 103,782 70,032
Initial Step: 34,026 57,720 117,962 103,782 70,032
Seat 1 34,026 57,720 101,110 (6) 103,782 70,032
Seat 2 34,026 57,720 101,110 51,981 (1) 70,032
Seat 3 34,026 57,720 101,110 51,981 35,016 (1)
Seat 4 34,026 57,720 88,471 (7) 51,981 35,016
Seat 5 34,026 57,720 78,641 (8) 51,981 35,016
Seat 6 34,026 57,720 70,777 (9) 51,981 35,016
Seat 7 34,026 57,720 64,343 (10) 51,981 35,016
Seat 8 34,026 57,720 58,981 (11) 51,981 35,016
Seat 9 34,026 57,720 54,444 (12) 51,981 35,016
Seat 10 34,026 54,682 (18) 54,444 51,981 35,016
Seat 11 34,026 51,948 (19) 54,444 51,981 35,016
Seat 12 34,026 51,948 50,555 (13) 51,981 35,016
Seat 13 34,026 51,948 50,555 34,594 (2) 35,016
Seat 14 34,026 49,475 (20) 50,555 34,594 35,016
Seat 15 34,026 49,475 47,185 (14) 34,594 35,016
Seat 16 34,026 47,226 (21) 47,185 34,594 35,016
Regional MPs: 0 4 9 2 1
Total MPs: 37 21 14 2 1

This gives us a result closer to the numbers under a direct Proportional Representation scheme. Both of the smaller parties were given the MPs that they deserved, and the Lib Dems recouped most of their missing seats.

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Yorkshire & the Humber 2010 under RTU


This is an attempt to work out how the election results would have looked in 2010 under the Regional Top-Up system for Yorkshire & the Humber. There are 54 MPs in Yorkshire & the Humber. Under Regional Top-Up, 42 of them would be Constituency MPs and 12 would be Regional MPs.

At the time of writing this, we are still waiting for the Thirsk and Malton result which was delayed due to the death of a candidate. We will assume that it will remain a Tory seat.

It is worth remembering that the smaller parties may not have stood in every seat, so their total vote is less than it would have been under Regional Top-Up. RTU allows parties to appear on every ballot in a region, even if there is no local candidate, as long as the party has candidates in at least 1/3 of the seats. Hence the electorate would have a much more even choice across every region.

This is how Yorkshire & the Humber looked after the 2010 election:

Party Current MPs Total votes Percentage MPs under PR
Labour 32 821,368 34.7 19
Conservative 19 769,895 32.5 18
Lib Dem 3 543,684 23.0 13
BNP 0 104,177 4.4 2
UKIP 0 65,876 2.8 2
Green 0 20,824 0.9 0
English Democrats 0 11,722 0.5 0

The above table includes a column for how the number of MPs should look (roughly) under a directly proportional system. The Lib Dems are, once again, ten MPs short of what their vote deserves, while Labour are massively over represented, despite the very small difference in votes between themselves and the Tories. UKIP had enough votes to justify at least one MP, and the BNP deserved at least 2 MPs.

Assumptions


Let’s assume that, after the number of constituencies has been reduced in Yorkshire & the Humber from 54 to 42, the MPs elected under FPTP are still returned in proportion to the 2010 result. That will give us 25 Labour, 15 Conservative and 2 Lib Dem MPs. The remaining 12 will be Regional MPs (RMPs).

Step 1: Add up the votes for each party


We have already done this at the top of this page; the table includes the total votes across Yorkshire & the Humber for each of the major parties.

Step 2: Create Party Lists


If this were for real we would look at all of the candidates for each party across Yorkshire & the Humber region, and list them in order of the percentage of the vote they received (grouped by party), removing those who were successfully elected. Each party should end up with a list of candidates in order of public popularity.

For example, the UKIP list would look like this (for the top five):

Name Percentage Constituency
John Wilkinson 8.1 Wentworth & Dearne
Mike Hookem 8 Hull East
Stephen Harness 7.1 Cleethorpes
Henry Hudson 6.2 Great Grimsby
Caven Vines 5.9 Rotherham

Step 3: Calculate the minimum percentage for an elected MP


Under a directly proportional system in Yorkshire & the Humber, we can calculate the percentage of the vote needed to get an MP elected: 100%/54MPs = 1.85% per MP.

The Green Party, and every other party with a smaller fraction of the vote, is below the 1.85% minimum threshold for an MP in Yorkshire & the Humber. We can now discount all of those parties from the following calculations.

Step 4: Assign the Regional seats


We use the d’Hondt system to distribute the 12 Regional MP seats. The maths gets a little awkward to follow here, so if you aren’t interested, skip to the last couple of lines of the table below to see how the seats are distributed proportionally.

Note that we use the number of seats won under FPTP as the starting number of seats for each party. This requires an initial step to convert the total votes into the equivalent tally as if the first 46 seats had been distributed under the d’Hondt formula. For example, the Conservatives’ 769,895 votes are divided by 1 + number of seats (15), giving 769,895/16 = 48,118.

The numbers in red indicate which party gains the seat. The number in brackets indicates the number of seats held at each stage of the calculation.

Labour (25) Conservative (15) Lib Dem (2) BNP (0) UKIP (0)
Total Votes: 1,044,081 769,895 540,160 104,177 65,876
Initial Step: 38,670 48,118 180,053 104,177 65,876
Seat 1 38,670 48,118 180,053 (3) 104,177 65,876
Seat 2 38,670 48,118 135,921 (4) 104,177 65,876
Seat 3 38,670 48,118 90,614 (5) 104,177 65,876
Seat 4 38,670 48,118 90,614 52,088 (1) 65,876
Seat 5 38,670 48,118 77,669 (6) 52,088 65,876
Seat 6 38,670 48,118 67,961 (7) 52,088 65,876
Seat 7 38,670 48,118 60,409 (8) 52,088 65,876
Seat 8 38,670 48,118 60,409 52,088 32,938 (1)
Seat 9 38,670 48,118 54,368 (9) 52,088 32,938
Seat 10 38,670 48,118 49,426 (10) 52,088 32,938
Seat 11 38,670 48,118 49,426 34,726 (2) 32,938
Seat 12 38,670 48,118 45,307 (11) 34,726 32,938
Regional MPs: 0 0 9 2 1
Total MPs: 25 15 11 2 1

This gives us a result closer to the numbers under a direct Proportional Representation scheme. Both of the smaller parties were given the MPs that they deserved, and the Lib Dems recouped most of their missing seats.

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West Midlands 2010 under RTU


This is an attempt to work out how the election results would have looked in 2010 under the Regional Top-Up system for the West Midlands. There are 59 MPs in the West Midlands. Under Regional Top-Up, 47 of them would be Constituency MPs and 12 would be Regional MPs.

It is worth remembering that the smaller parties may not have stood in every seat, so their total vote is less than it would have been under Regional Top-Up. RTU allows parties to appear on every ballot in a region, even if there is no local candidate, as long as the party has candidates in at least 1/3 of the seats. Hence the electorate would have a much more even choice across every region.

This is how the West Midlands looked after the 2010 election:

Party Current MPs Total votes Percentage MPs under PR
Conservative 33 1,044,081 39.5 24
Labour 24 808,114 30.6 19
Lib Dem 2 540,160 20.5 12
UKIP 0 105,685 4.0 2
BNP 0 73,394 2.8 2

The above table includes a column for how the number of MPs should look (roughly) under a directly proportional system. The Lib Dems are ten MPs short of what their vote deserves, while the Tories and Labour are both considerably over represented. UKIP and the BNP both had enough votes to justify at least one MP.

Assumptions


Let’s assume that, after the number of constituencies has been reduced in the West Midlands from 59 to 47, the MPs elected under FPTP are still returned in proportion to the 2010 result. That will give us 26 Conservative, 19 Labour MPs and 2 Lib Dems. The remaining 12 will be Regional MPs (RMPs).

Step 1: Add up the votes for each party


We have already done this at the top of this page; the table includes the total votes across the West Midlands for each of the major parties.

Step 2: Create Party Lists


If this were for real we would look at all of the candidates for each party across the West Midlands region, and list them in order of the percentage of the vote they received (grouped by party), removing those who were successfully elected. Each party should end up with a list of candidates in order of public popularity.

For example, the UKIP list would look like this (for the top five):

Name Percentage Constituency
Malcolm Davis 8.5 Dudley North
Derek Bennett 8.4 Walsall South
Steve Povey 8.2 Staffordshire Moorlands
Philip Rowe 8.2 Dudley South
David Nixon 8.1 Newcastle-under-Lyme

Step 3: Calculate the minimum percentage for an elected MP


Under a directly proportional system in the West Midlands, we can calculate the percentage of the vote needed to get an MP elected: 100%/59MPs = 1.69% per MP.

The Green Party, and every other party with a smaller fraction of the vote, is below the 1.69% minimum threshold for an MP in the West Midlands. We can now discount all of those parties from the following calculations.

Step 4: Assign the Regional seats


We use the d’Hondt system to distribute the 12 Regional MP seats. The maths gets a little awkward to follow here, so if you aren’t interested, skip to the last couple of lines of the table below to see how the seats are distributed proportionally.

Note that we use the number of seats won under FPTP as the starting number of seats for each party. This requires an initial step to convert the total votes into the equivalent tally as if the first 46 seats had been distributed under the d’Hondt formula. For example, the Conservatives’ 1,044,081 votes are divided by 1 + number of seats (26), giving 1,044,081/27 = 38,670.

The numbers in red indicate which party gains the seat. The number in brackets indicates the number of seats held at each stage of the calculation.

Conservative (26) Labour (19) Lib Dem (2) UKIP (0) BNP (0)
Total Votes: 1,044,081 808,114 540,160 105,685 73,394
Initial Step: 38,670 40,405 180,053 105,685 73,394
Seat 1 38,670 40,405 135,040 (3) 105,685 73,394
Seat 2 38,670 40,405 108,032 (4) 105,685 73,394
Seat 3 38,670 40,405 90,027 (5) 105,685 73,394
Seat 4 38,670 40,405 90,027 52,842 (1) 73,394
Seat 5 38,670 40,405 77,176 (6) 52,842 73,394
Seat 6 38,670 40,405 67,520 (7) 52,842 73,394
Seat 7 38,670 40,405 67,520 52,842 36,697 (1)
Seat 8 38,670 40,405 60,018 (8) 52,842 36,697
Seat 9 38,670 40,405 54,016 (9) 52,842 36,697
Seat 10 38,670 40,405 49,105 (10) 52,842 36,697
Seat 11 38,670 40,405 49,105 35,228 (2) 36,697
Seat 12 38,670 40,405 45,013 (11) 35,228 36,697
Regional MPs: 0 0 9 2 1
Total MPs: 26 19 11 2 1

This gives us a result closer to the numbers under a direct Proportional Representation scheme. Both of the smaller parties were given the MPs that they deserved, and the Lib Dems recouped most of their missing seats.

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East Midlands 2010 under RTU


This is an attempt to work out how the election results would have looked in 2010 under the Regional Top-Up system for the East Midlands. There are 46 MPs in the East Midlands. Under Regional Top-Up, 36 of them would be Constituency MPs and 10 would be Regional MPs.

It is worth remembering that the smaller parties may not have stood in every seat, so their total vote is less than it would have been under Regional Top-Up. RTU allows parties to appear on every ballot in a region, even if there is no local candidate, as long as the party has candidates in at least 1/3 of the seats. Hence the electorate would have a much more even choice across every region.

This is how the East Midlands looked after the 2010 election:

Party Current MPs Total votes Percentage MPs under PR
Conservative 31 915,933 41.2 20
Labour 15 661,813 29.8 14
Lib Dem 0 462,988 20.8 10
UKIP 0 72,659 3.3 1
BNP 0 69,706 3.1 1
Green 0 11,667 0.5 0

The above table includes a column for how the number of MPs should look (roughly) under a directly proportional system. The Lib Dems are ten MPs short of what their vote deserves, while the Tories have 11 more MPs than they would under a pure PR system. UKIP and the BNP both had enough votes to justify an MP.

Assumptions


Let’s assume that, after the number of constituencies has been reduced in the East Midlands from 46 to 36, the MPs elected under FPTP are still returned in proportion to the 2010 result. That will give us 24 Conservative and 12 Labour MPs. The remaining 10 will be Regional MPs (RMPs).

Step 1: Add up the votes for each party


We have already done this at the top of this page; the table includes the total votes across the East Midlands for each of the major parties.

Step 2: Create Party Lists


If this were for real we would look at all of the candidates for each party across the East Midlands region, and list them in order of the percentage of the vote they received (grouped by party), removing those who were successfully elected. Each party should end up with a list of candidates in order of public popularity.

For example, the UKIP list would look like this (for the top five):

Name Percentage Constituency
Christopher Pain 9.5 Boston & Skegness
Richard Fairman 6.5 South Holland & The Deepings
David Hamilton 6.2 Mansfield
James Bush 5.6 Derbyshire North East
Derek Clark 4.9 Northampton South

Step 3: Calculate the minimum percentage for an elected MP


Under a directly proportional system in the East Midlands, we can calculate the percentage of the vote needed to get an MP elected: 100%/46MPs = 2.17% per MP.

The Green Party, and every other party with a smaller fraction of the vote, is below the 2.17% minimum threshold for an MP in the East Midlands. We can now discount all of those parties from the following calculations.

Step 4: Assign the Regional seats


We use the d’Hondt system to distribute the 12 Regional MP seats. The maths gets a little awkward to follow here, so if you aren’t interested, skip to the last couple of lines of the table below to see how the seats are distributed proportionally.

Note that we use the number of seats won under FPTP as the starting number of seats for each party. This requires an initial step to convert the total votes into the equivalent tally as if the first 46 seats had been distributed under the d’Hondt formula. For example, the Conservatives’ 915,933 votes are divided by 1 + number of seats (24), giving 915,933/25 = 36,637.

The numbers in red indicate which party gains the seat. The number in brackets indicates the number of seats held at each stage of the calculation.

Conservative (24) Labour (12) Lib Dem (0) UKIP (0) BNP (0)
Total Votes: 915,933 661,813 462,988 72,659 69,706
Initial Step: 36,637 50,908 462,988 72,659 69,706
Seat 1 36,637 50,908 231,494 (1) 72,659 69,706
Seat 2 36,637 50,908 154,329 (2) 72,659 69,706
Seat 3 36,637 50,908 115,747 (3) 72,659 69,706
Seat 4 36,637 50,908 92,598 (4) 72,659 69,706
Seat 5 36,637 50,908 77,165 (5) 72,659 69,706
Seat 6 36,637 50,908 66,141 (6) 72,659 69,706
Seat 7 36,637 50,908 66,141 36,329 (1) 69,706
Seat 8 36,637 50,908 66,141 36,329 34,853 (1)
Seat 9 36,637 50,908 57,873 (7) 36,329 34,853
Seat 10 36,637 50,908 51,443 (8) 36,329 34,853
Regional MPs: 0 0 8 1 1
Total MPs: 24 12 8 1 1

This gives us a result closer to the numbers under a direct Proportional Representation scheme. Both of the smaller parties were given the MPs that they deserved, and the Lib Dems recouped most of their missing seats.

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Eastern Region 2010 under RTU


This is an attempt to work out how the election results would have looked in 2010 under the Regional Top-Up system for the Eastern region. There are 58 MPs in the Eastern region. Under Regional Top-Up, 44 of them would be Constituency MPs and 14 would be Regional MPs.

It is worth remembering that the smaller parties may not have stood in every seat, so their total vote is less than it would have been under Regional Top-Up. RTU allows parties to appear on every ballot in a region, even if there is no local candidate, as long as the party has candidates in at least 1/3 of the seats. Hence the electorate would have a much more even choice across every region.

This is how the Eastern region looked after the 2010 election:

Party Current MPs Total votes Percentage MPs under PR
Conservative 52 1,356,739 47.1 28
Lib Dem 4 692,932 24.1 14
Labour 2 564,581 19.6 12
UKIP 0 123,237 4.3 3
BNP 0 59,505 2.1 1
Green 0 42,677 1.5 0

The above table includes a column for how the number of MPs should look (roughly) under a directly proportional system. The Lib Dems and Labour are both a whopping ten MPs short of what their vote deserves, while the Tories have nearly twice as many MPs as they would under a pure PR system. UKIP also had enough support to justify two or three MPs in Westminster, and the BNP should have one person elected.

Assumptions


Let’s assume that, after the number of constituencies has been reduced in the Eastern Region from 58 to 44, the MPs elected under FPTP are still returned in proportion to the 2010 result. That will give us 39 Conservative, 3 Lib Dem and 2 Labour MPs. The remaining 14 will be Regional MPs (RMPs).

Step 1: Add up the votes for each party


We have already done this at the top of this page; the table includes the total votes across the Eastern Region for each of the major parties.

Step 2: Create Party Lists


If this were for real we would look at all of the candidates for each party across the Eastern Region region, and list them in order of the percentage of the vote they received (grouped by party), removing those who were successfully elected. Each party should end up with a list of candidates in order of public popularity.

For example, the UKIP list would look like this (for the top five):

Name Percentage Constituency
Robert Brown 8.3 Cambridgeshire North West
Clive Broad 7.4 Thurrock
David Campbell Bannerman 7.1 Suffolk South
Frances Fox 6.7 Peterborough
David Hodges 6.5 Witham

Step 3: Calculate the minimum percentage for an elected MP


Under a directly proportional system in the Eastern Region, we can calculate the percentage of the vote needed to get an MP elected: 100%/58MPs = 1.72% per MP.

The Green Party, and every other party with a smaller fraction of the vote, is below the 1.72% minimum threshold for an MP in the Eastern Region. We can now discount all of those parties from the following calculations.

Step 4: Assign the Regional seats


We use the d’Hondt system to distribute the 12 Regional MP seats. The maths gets a little awkward to follow here, so if you aren’t interested, skip to the last couple of lines of the table below to see how the seats are distributed proportionally.

Note that we use the number of seats won under FPTP as the starting number of seats for each party. This requires an initial step to convert the total votes into the equivalent tally as if the first 44 seats had been distributed under the d’Hondt formula. For example, the Conservatives’ 1,356,739 votes are divided by 1 + number of seats (39), giving 1,356,739/40 = 33,918.

The numbers in red indicate which party gains the seat. The number in brackets indicates the number of seats held at each stage of the calculation.

Conservative (39) Lib Dem (3) Labour (2) UKIP (0) BNP (0)
Total Votes: 1,356,739 692,932 564,581 123,237 59,505
Initial Step: 33,918 173,233 188,194 123,975 59,505
Seat 1 33,918 173,233 141,145 (3) 123,975 59,505
Seat 2 33,918 138,586 (4) 141,145 123,975 59,505
Seat 3 33,918 138,586 112,916 (4) 123,975 59,505
Seat 4 33,918 115,489 (5) 112,916 123,975 59,505
Seat 5 33,918 115,489 112,916 61,987 (1) 59,505
Seat 6 33,918 98,990 (6) 112,916 61,987 59,505
Seat 7 33,918 98,990 94,097 (5) 61,987 59,505
Seat 8 33,918 86,616 (7) 94,097 61,987 59,505
Seat 9 33,918 86,616 80,654 (6) 61,987 59,505
Seat 10 33,918 76,992 (8) 80,654 61,987 59,505
Seat 11 33,918 76,992 70,572 (7) 61,987 59,505
Seat 12 33,918 69,293 (9) 70,572 61,987 59,505
Seat 13 33,918 69,293 62,731 (8) 61,987 59,505
Seat 14 33,918 62,994 (10) 62,731 61,987 59,505
Regional MPs: 0 7 6 1 0
Total MPs: 39 10 8 1 0

This gives us a result closer to the numbers under a direct Proportional Representation scheme. Although the result is more proportional to the vote, it does highlight one of the flaws in all top-up systems; they cannot completely rectify results that are so skewed in the first place.

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The South West 2010 under RTU


This is an attempt to work out how the election results would have looked in 2010 under the Regional Top-Up system for the South West region. There are 55 MPs in the South West. Under Regional Top-Up,43 of them would be Constituency MPs and 12 would be Regional MPs.

It is worth remembering that the smaller parties may not have stood in every seat, so their total vote is less than it would have been under Regional Top-Up. RTU allows parties to appear on every ballot in a region, even if there is no local candidate, as long as the party has candidates in at least 1/3 of the seats. Hence the electorate would have a much more even choice across every region.

This is how the South West looked after the 2010 election:

Party Current MPs Total votes Percentage MPs under PR
Conservative 36 1,187,637 42.8 24
Lib Dem 15 962,954 34.7 20
Labour 4 426,910 15.4 9
UKIP 0 123,975 4.5 2
Green 0 31,517 1.1 0
BNP 0 20,866 0.8 0

The above table includes a column for how the number of MPs should look (roughly) under a directly proportional system. The Lib Dems and Labour are both five MPs short of what their vote deserves, while the Tories have 50% more MPs than they would under a pure PR system. UKIP also had enough support to justify two MPs in Westminster.

Assumptions


Let’s assume that, after the number of constituencies has been reduced in the South West from 55 to 43, the MPs elected under FPTP are still returned in proportion to the 2010 result. That will give us 28 Conservative, 12 Lib Dem and 3 Labour MPs. The remaining 12 will be Regional MPs (RMPs).

Step 1: Add up the votes for each party


We have already done this at the top of this page; the table includes the total votes across the South West for each of the major parties.

Step 2: Create Party Lists


If this were for real we would look at all of the candidates for each party across the South West region, and list them in order of the percentage of the vote they received (grouped by party), removing those who were successfully elected. Each party should end up with a list of candidates in order of public popularity.

For example, the UKIP list would look like this (for the top five):

Name Percentage Constituency
David Williams 8.5 Christchurch
Mike Amor 8.2 Devon East
Bill Wakeham 7.7 Plymouth Moor View
Philip Glover 7.2 Bournemouth West
Stephen Crowther 7.2 Devon North

Step 3: Calculate the minimum percentage for an elected MP


Under a directly proportional system in the South West, we can calculate the percentage of the vote needed to get an MP elected: 100%/55MPs = 1.82% per MP.

The Green Party, BNP and every other party with a smaller fraction of the vote, is below the 1.82% minimum threshold for an MP in the South West. We can now discount all of those parties from the following calculations.

Step 4: Assign the Regional seats


We use the d’Hondt system to distribute the 12 Regional MP seats. The maths gets a little awkward to follow here, so if you aren’t interested, skip to the last couple of lines of the table below to see how the seats are distributed proportionally.

Note that we use the number of seats won under FPTP as the starting number of seats for each party. This requires an initial step to convert the total votes into the equivalent tally as if the first 43 seats had been distributed under the d’Hondt formula. For example, the Conservatives’ 1,187,637 votes are divided by 1 + number of seats (28), giving 1,187,637/29 = 40,953.

The numbers in red indicate which party gains the seat. The number in brackets indicates the number of seats held at each stage of the calculation.

Conservative (28) Lib Dem (12) Labour (3) UKIP (0)
Total Votes: 1,187,637 962,954 426,910 123,975
Initial Step: 40,953 74,073 106,727 123,975
Seat 1 40,953 74,073 106,727 61,987 (1)
Seat 2 40,953 74,073 85,382 (4) 61,987
Seat 3 40,953 74,073 71,152 (5) 61,987
Seat 4 40,953 68,782 (13) 71,152 61,987
Seat 5 40,953 68,782 60,987 (6) 61,987
Seat 6 40,953 64,197 (14) 60,987 61,987
Seat 7 40,953 60,184 (15) 60,987 61,987
Seat 8 40,953 60,184 60,987 41,325 (2)
Seat 9 40,953 60,184 53,364 (7) 41,325
Seat 10 40,953 56,644 (16) 53,364 41,325
Seat 11 40,953 53,497 (17) 53,364 41,325
Seat 12 40,953 50,682 (18) 53,364 41,325
Regional MPs: 0 6 4 2
Total MPs: 28 18 7 2

This gives us a result closer to the numbers under a direct Proportional Representation scheme. It ensures that the smaller parties have some level of representation, while maintaining a strong element of Constituency MPs elected under first-past-the-post.

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The South East 2010 under RTU


This is an attempt to work out how the election results would have looked in 2010 under the Regional Top-Up system for the South East region. There are 84 MPs in the South East. Under Regional Top-Up, 64 of them would be Constituency MPs and 20 would be Regional MPs.

It is worth remembering that the smaller parties may not have stood in every seat, so their total vote is less than it would have been under Regional Top-Up. RTU allows parties to appear on every ballot in a region, even if there is no local candidate, as long as the party has candidates in at least 1/3 of the seats. Hence the electorate would have a much more even choice across every region.

This is how the South East looked after the 2010 election:

Party Current MPs Total votes Percentage MPs under PR
Conservative 75 2,140,895 49.9 43
Lib Dem 4 1,124,786 26.2 22
Labour 4 697,567 16.2 14
UKIP 0 177,269 4.1 4
Green 1 62,124 1.4 1
BNP 0 30,618 0.7 0
English Democrats 0 15,442 0.4 0

The above table includes a column for how the number of MPs should look (roughly) under a directly proportional system. The Lib Dems are the biggest losers under the current system, having just four MPs instead of 22. The Labour party was signficiantly penalised by the FPTP system and UKIP also had enough support to justify a significant presence in Westminster. The most disturbing figure, however, is the vastly disproportionate number of Conservative MPs in the region.

Assumptions


Let’s assume that, after the number of constituencies has been reduced in the South East from 84 to 64, the MPs elected under FPTP are still returned in proportion to the 2010 result. That will give us 57 Conservative, 3 Labour, 3 Lib Dem and 1 Green MP. The remaining 20 will be Regional MPs (RMPs).

Step 1: Add up the votes for each party


We have already done this at the top of this page; the table includes the total votes across the South East for each of the major parties.

Step 2: Create Party Lists


If this were for real we would look at all of the candidates for each party across the South East region, and list them in order of the percentage of the vote they received (grouped by party), removing those who were successfully elected. Each party should end up with a list of candidates in order of public popularity.

For example, the UKIP list would look like this (for the top five):

Name Percentage Constituency
Nigel Farage 17.4 Buckingham
Christopher Browne 8.5 Spelthorne
Helena Windsor 6.9 Surrey East
Andrew Moncrieff 6.8 Chichester
Chris Adams 6.8 Aylesbury

Step 3: Calculate the minimum percentage for an elected MP


Under a directly proportional system in the South East, we can calculate the percentage of the vote needed to get an MP elected: 100%/84MPs = 1.19% per MP.

The BNP, English Democrats, and every other party with a smaller fraction of the vote, is below the 1.19% minimum threshold for an MP in the South East. We can now discount all of those parties from the following calculations.

Step 4: Assign the Regional seats


We use the d’Hondt system to distribute the 20 Regional MP seats. The maths gets a little awkward to follow here, so if you aren’t interested, skip to the last couple of lines of the table below to see how the seats are distributed proportionally.

Note that we use the number of seats won under FPTP as the starting number of seats for each party. This requires an initial step to convert the total votes into the equivalent tally as if the first 64 seats had been distributed under the d’Hondt formula. For example, the Conservatives’ 2,140,895 votes are divided by 1 + number of seats (57), giving 2,140,895/58 = 36,912.

The numbers in red indicate which party gains the seat. The number in brackets indicates the number of seats held at each stage of the calculation.

Conservative (57) Lib Dem (3) Labour (3) UKIP (0) Green (1)
Total Votes: 2,140,895 1,124,786 697,567 177,269 62,124
Initial Step: 36,912 281,196 174,691 177,269 31,062
Seat 1 36,912 224,957 (4) 174,691 177,269 31,062
Seat 2 36,912 187,464 (5) 174,691 177,269 31,062
Seat 3 36,912 160,683 (6) 174,691 177,269 31,062
Seat 4 36,912 160,683 174,691 88,634 (1) 31,062
Seat 5 36,912 160,683 139,513 (4) 88,634 31,062
Seat 6 36,912 140,598 (7) 139,513 88,634 31,062
Seat 7 36,912 124,976 (8) 139,513 88,634 31,062
Seat 8 36,912 124,976 116,261 (5) 88,634 31,062
Seat 9 36,912 112,479 (9) 116,261 88,634 31,062
Seat 10 36,912 112,479 99,652 (6) 88,634 31,062
Seat 11 36,912 102,253 (10) 99,652 88,634 31,062
Seat 12 36,912 93,732 (11) 99,652 88,634 31,062
Seat 13 36,912 93,732 87,196 (7) 88,634 31,062
Seat 14 36,912 86,522 (12) 87,196 88,634 31,062
Seat 15 36,912 86,522 87,196 59,090 (2) 31,062
Seat 16 36,912 86,522 77,507 (8) 59,090 31,062
Seat 17 36,912 80,342 (13) 77,507 59,090 31,062
Seat 18 36,912 74,986 (14) 77,507 59,090 31,062
Seat 19 36,912 74,986 69,757 (9) 59,090 31,062
Seat 20 36,912 70,299 (15) 69,757 59,090 31,062
Regional MPs: 0 12 6 2 0
Total MPs: 57 15 9 2 1

This gives us a result closer to the numbers under a direct Proportional Representation scheme. It ensures that the smaller parties have some level of representation, while maintaining a strong element of Constituency MPs elected under first-past-the-post.

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London 2010 under RTU


This is an attempt to work out how the election results would have looked in 2010 under the Regional Top-Up system for the London region. There are 74 MPs in London. Under Regional Top-Up, 58 of them would be Constituency MPs and 16 would be Regional MPs.

It is worth remembering that the smaller parties may not have stood in every seat, so their total vote is less than it would have been under Regional Top-Up. RTU allows parties to appear on every ballot in a region, even if there is no local candidate, as long as the party has candidates in at least 1/3 of the seats. Hence the electorate would have a much more even choice across every region.

This is how London looked after the 2010 election:

Party Current MPs Total votes Percentage MPs under PR
Labour 38 1,245,637 36.6 28
Conservative 28 1,174,568 34.5 26
Lib Dem 7 751,561 22.1 17
UKIP 0 59,452 1.7 1
Green 0 54,316 1.6 1
BNP 0 52,095 1.5 1
Respect 0 17,368 0.5 0

The above table includes a column for how the number of MPs should look (roughly) under a directly proportional system. The Lib Dems are the biggest losers under the current system, while the Greens, UKIP and the BNP all had enough support to justify a presence in Westminster. Labour, on the other hand, had a significantly distorted number of MPs elected in comparison to its share of the vote.

Assumptions


Let’s assume that, after the number of constituencies has been reduced in London from 74 to 58, the MPs elected under FPTP are still returned in proportion to the 2010 result. That will give us 30 Labour, 22 Conservative and 6 Lib Dems. The remaining 16 will be Regional MPs (RMPs).

Step 1: Add up the votes for each party


We have already done this at the top of this page; the table includes the total votes across London for each of the major parties.

Step 2: Create Party Lists


If this were for real we would look at all of the candidates for each party across the London region, and list them in order of the percentage of the vote they received (grouped by party), removing those who were successfully elected. Each party should end up with a list of candidates in order of public popularity.

For example, the Green list would look like this (for the top five):

Name Percentage Constituency
Darren Johnson 6.7 Lewisham Deptford
Matt Sellwood 4.6 Hackney North & Stoke Newington
Polly Lan 3.5 Hackney South & Shoreditch
Emma Dixon 3 Islington North
Jenny Jones 2.9 Camberwell & Peckham

Step 3: Calculate the minimum percentage for an elected MP


Under a directly proportional system in London, we can calculate the percentage of the vote needed to get an MP elected: 100%/74MPs = 1.35% per MP.

Respect, and every other party with a smaller fraction of the vote, is below the 1.35% minimum threshold for an MP in London. We can now discount all of those parties from the following calculations.

Step 4: Assign the Regional seats


We use the d’Hondt system to distribute the 16 Regional MP seats. The maths gets a little awkward to follow here, so if you aren’t interested, skip to the last couple of lines of the table below to see how the seats are distributed proportionally.

Note that we use the number of seats won under FPTP as the starting number of seats for each party. This requires an initial step to convert the total votes into the equivalent tally as if the first 58 seats had been distributed under the d’Hondt formula. For example, Labour’s 1,245,637 votes are divided by 1 + number of seats (30), giving 1,245,637/31 = 40,181.

The numbers in red indicate which party gains the seat. The number in brackets indicates the number of seats held at each stage of the calculation.

Labour (30) Conservative (22) Lib Dem (6) UKIP (0) Green (0) Respect (0)
Total Votes: 1,245,637 1,174,568 751,561 59,452 54,316 52,095
Initial Step: 40,181 51,068 107365 59,452 54,316 52,095
Seat 1 40,181 51,068 93,945 (7) 59,452 54,316 52,095
Seat 2 40,181 51,068 83,506 (8) 59,452 54,316 52,095
Seat 3 40,181 51,068 75,156 (9) 59,452 54,316 52,095
Seat 4 40,181 51,068 68,323 (10) 59,452 54,316 52,095
Seat 5 40,181 51,068 62,630 (11) 59,452 54,316 52,095
Seat 6 40,181 51,068 57,812 (12) 59,452 54,316 52,095
Seat 7 40,181 51,068 57,812 29,726 (1) 54,316 52,095
Seat 8 40,181 51,068 53,683 (13) 29,726 54,316 52,095
Seat 9 40,181 51,068 53,683 29,726 27,158 (1) 52,095
Seat 10 40,181 51,068 50,104 (14) 29,726 27,158 52,095
Seat 11 40,181 51,068 50,104 29,726 27,158 26,047 (1)
Seat 12 40,181 48,940 (23) 50,104 29,726 27,158 26,047
Seat 13 40,181 48,940 46,972 (15) 29,726 27,158 26,047
Seat 14 40,181 46,982 (24) 46,972 29,726 27,158 26,047
Seat 15 40,181 45,176 (25) 46,972 29,726 27,158 26,047
Seat 16 40,181 45,176 44,209 (16) 29,726 27,158 26,047
Regional MPs: 0 3 10 1 1 1
Total MPs: 30 25 16 1 1 1

This gives us a result closer to the numbers under a direct Proportional Representation scheme. It ensures that the smaller parties have some level of representation, while maintaining a strong element of Constituency MPs elected under first-past-the-post.

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