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Overview of the D’Hondt System

The Scottish Parliament uses the D’Hondt system to allocate the 56 regional list seats. These seats help balance the 73 constituency seats, which are elected by First Past the Post. The goal is to make the overall result more proportional.

Lists of seats

How D’Hondt Works

Each party in a region receives a score called a quotient. The formula is:

\[ \text{Quotient} = \frac{\text{Regional list votes}} {\text{Constituency seats already won} + \text{List seats already won} + 1} \]

In each round:

Example

D’Hondt System – Highlands & Islands (2021)

Highlands & Islands – FPTP Constituency Candidate Vote Totals (2021)

Every candidate and their vote total for all eight constituencies in the Highlands & Islands region. These are the official certified results from the 2021 Scottish Parliament election.

Constituency Candidate Party Votes
Argyll & ButeJenni MintoSNP15,705
Donald CameronConservative12,713
Alan ReidLiberal Democrat4,398
Raymond McCuskerLabour3,292
Ariane BurgessGreen2,028
Caithness, Sutherland & RossMaree ToddSNP18,045
Molly NolanLiberal Democrat12,425
Struan MackieConservative7,042
John ErskineLabour5,382
Anne ThomasGreen2,207
Inverness & NairnFergus EwingSNP18,381
Edward MountainConservative12,889
Bruce ThompsonLiberal Democrat4,895
Michael PereraLabour4,483
Ariane BurgessGreen2,319
MorayRichard LochheadSNP17,398
Tim EagleConservative16,178
Jo KirbyLabour3,637
Neil AlexanderLiberal Democrat2,928
James MacKessack-LeitchGreen1,846
Na h‑Eileanan an IarAlasdair AllanSNP7,454
Rhoda GrantLabour3,863
Gavin MacLeodConservative1,971
Donald CrichtonLiberal Democrat1,219
OrkneyLiam McArthurLiberal Democrat7,454
Robert LeslieSNP4,192
James StockanConservative2,879
Coilla DrakeLabour1,402
ShetlandBeatrice WishartLiberal Democrat6,739
Tom WillsSNP4,731
Bryan PetersonConservative2,502
Martin KerrLabour1,276
Skye, Lochaber & BadenochKate ForbesSNP19,961
Ruraidh StewartConservative9,672
Denis RixsonLiberal Democrat4,496
John ErskineLabour4,073
Ariane BurgessGreen2,336

The constituency first past the post vote resulted in 6 seats for the SNP and 2 for the Liberal Democrats.

Highlands & Islands 2021 – Regional List Votes (All Participants)

Every party and independent candidate on the Highlands & Islands regional list ballot in 2021 is included in this table.

Party / Candidate List votes
Scottish National Party (SNP)96,433
Scottish Conservative and Unionist Party60,779
Scottish Liberal Democrats26,771
Scottish Labour Party22,713
Scottish Green Party17,729
Alba Party3,828
Andy Wightman (Independent)3,367
Scottish Family Party1,976
All for Unity1,540
Abolish the Scottish Parliament Party686
Freedom Alliance671
Reform UK547
Scottish Libertarian Party488
UK Independence Party (UKIP)457
Restore Scotland437
Hazel Mansfield (Independent)219
Scottish Trade Unionist and Socialist Coalition280

Highlands & Islands (2021)

Summary top 5 highest scoring parties

Regional List Votes

PartyVotes
SNP96,433
Conservatives60,779
Liberal Democrats26,771
Labour22,713
Greens17,729

Constituency Seats

  • SNP: 6
  • Conservatives: 0
  • Liberal Democrats: 2
  • Labour: 0
  • Greens: 0

Starting divisors:

Party Constituency seats Starting divisor
SNP66 + 0 + 1 = 7
Conservatives00 + 0 + 1 = 1
Liberal Democrats22 + 0 + 1 = 3
Labour00 + 0 + 1 = 1
Greens00 + 0 + 1 = 1

Round-by-round D’Hondt calculation

There are 7 regional seats to allocate. In each round we compute the quotient for each party and award the seat to the highest value.

Highlands & Islands 2021 – D’Hondt Round 1 (All Parties)

Every party and independent on the regional ballot is included in the D’Hondt calculation. This table shows Round 1 with all quotients.

Party / Candidate List votes Divisor
(seats + 1)
Round 1 quotient
Scottish Conservative and Unionist Party 60,779 1 60,779
Scottish National Party (SNP) 96,433 7 13,776
Scottish Labour Party 22,713 1 22,713
Scottish Liberal Democrats 26,771 3 8,924
Scottish Green Party 17,729 1 17,729
Alba Party 3,828 1 3,828
Andy Wightman (Independent) 3,367 1 3,367
Scottish Family Party 1,976 1 1,976
All for Unity 1,540 1 1,540
Abolish the Scottish Parliament Party 686 1 686
Freedom Alliance 671 1 671
Reform UK 547 1 547
Scottish Libertarian Party 488 1 488
UK Independence Party (UKIP) 457 1 457
Restore Scotland 437 1 437
Hazel Mansfield (Independent) 219 1 219
Scottish Trade Unionist and Socialist Coalition 280 1 280

Highest quotient: Conservatives → Seat 1.

Round 2

Conservatives now have 1 list seat, so their divisor becomes 2.

Party Calculation Quotient
SNP96,433 ÷ 7≈ 13,776
Conservatives60,779 ÷ 2≈ 30,390
Liberal Democrats26,771 ÷ 3≈ 8,924
Labour22,713 ÷ 122,713
Greens17,729 ÷ 117,729

Highest quotient: Conservatives → Seat 2.

Round 3

Conservatives now have 2 list seats, so their divisor becomes 3.

Party Calculation Quotient
SNP96,433 ÷ 7≈ 13,776
Conservatives60,779 ÷ 3≈ 20,260
Liberal Democrats26,771 ÷ 3≈ 8,924
Labour22,713 ÷ 122,713
Greens17,729 ÷ 117,729

Highest quotient: Labour → Seat 3.

Round 4

Labour now have 1 list seat, so their divisor becomes 2.

Party Calculation Quotient
SNP96,433 ÷ 7≈ 13,776
Conservatives60,779 ÷ 3≈ 20,260
Liberal Democrats26,771 ÷ 3≈ 8,924
Labour22,713 ÷ 2≈ 11,357
Greens17,729 ÷ 117,729

Highest quotient: Conservatives → Seat 4.

Round 5

Conservatives now have 3 list seats, so their divisor becomes 4.

Party Calculation Quotient
SNP96,433 ÷ 7≈ 13,776
Conservatives60,779 ÷ 4≈ 15,195
Liberal Democrats26,771 ÷ 3≈ 8,924
Labour22,713 ÷ 2≈ 11,357
Greens17,729 ÷ 117,729

Highest quotient: Greens → Seat 5.

Round 6

Greens now have 1 list seat, so their divisor becomes 2.

Party Calculation Quotient
SNP96,433 ÷ 7≈ 13,776
Conservatives60,779 ÷ 4≈ 15,195
Liberal Democrats26,771 ÷ 3≈ 8,924
Labour22,713 ÷ 2≈ 11,357
Greens17,729 ÷ 2≈ 8,865

Highest quotient: Conservatives → Seat 6.

Round 7

Conservatives now have 4 list seats, so their divisor becomes 5.

Party Calculation Quotient
SNP96,433 ÷ 7≈ 13,776
Conservatives60,779 ÷ 5≈ 12,156
Liberal Democrats26,771 ÷ 3≈ 8,924
Labour22,713 ÷ 2≈ 11,357
Greens17,729 ÷ 2≈ 8,865

Highest quotient: SNP → Seat 7.

Every Quotient in Every Round

This table shows the full D’Hondt calculation for all 7 regional seats.

Round SNP Con Lab Lib Dem Green Winner
1 13,776 60,779 22,713 8,924 17,729 Con
2 13,776 30,390 22,713 8,924 17,729 Con
3 13,776 20,260 22,713 8,924 17,729 Lab
4 13,776 20,260 11,357 8,924 17,729 Con
5 13,776 15,195 11,357 8,924 17,729 Green
6 13,776 15,195 11,357 8,924 8,865 Con
7 13,776 12,156 11,357 8,924 8,865 SNP

Scottish Parliament Constituencies & Regions

All 73 constituencies and all 8 electoral regions of the Scottish Parliament, in two formats:

Constituencies Alphabetically (with Region)

ConstituencyRegion
Aberdeen CentralNorth East Scotland
Aberdeen DonsideNorth East Scotland
Aberdeen South & North KincardineNorth East Scotland
Aberdeenshire EastNorth East Scotland
Aberdeenshire WestNorth East Scotland
Airdrie & ShottsCentral Scotland
Almond ValleyLothian
Angus North & MearnsNorth East Scotland
Angus SouthNorth East Scotland
Argyll & ButeHighlands & Islands
AyrSouth Scotland
Banffshire & Buchan CoastNorth East Scotland
Caithness, Sutherland & RossHighlands & Islands
Carrick, Cumnock & Doon ValleySouth Scotland
Clackmannanshire & DunblaneMid Scotland & Fife
Clydebank & MilngavieWest Scotland
ClydesdaleSouth Scotland
Coatbridge & ChrystonCentral Scotland
CowdenbeathMid Scotland & Fife
Cumbernauld & KilsythCentral Scotland
DumbartonWest Scotland
DumfriesshireSouth Scotland
Dundee City EastNorth East Scotland
Dundee City WestNorth East Scotland
DunfermlineMid Scotland & Fife
East KilbrideCentral Scotland
East LothianSouth Scotland
EastwoodWest Scotland
Edinburgh CentralLothian
Edinburgh EasternLothian
Edinburgh Northern & LeithLothian
Edinburgh PentlandsLothian
Edinburgh SouthernLothian
Edinburgh WesternLothian
Ettrick, Roxburgh & BerwickshireSouth Scotland
Falkirk EastCentral Scotland
Falkirk WestCentral Scotland
Galloway & West DumfriesSouth Scotland
Glasgow AnnieslandGlasgow
Glasgow CathcartGlasgow
Glasgow KelvinGlasgow
Glasgow Maryhill & SpringburnGlasgow
Glasgow PollokGlasgow
Glasgow ProvanGlasgow
Glasgow ShettlestonGlasgow
Glasgow SouthsideGlasgow
Greenock & InverclydeWest Scotland
Hamilton, Larkhall & StonehouseCentral Scotland
InverclydeWest Scotland
Inverness & NairnHighlands & Islands
Kilmarnock & Irvine ValleySouth Scotland
KirkcaldyMid Scotland & Fife
LinlithgowLothian
Mid Fife & GlenrothesMid Scotland & Fife
Midlothian North & MusselburghLothian
Midlothian South, Tweeddale & LauderdaleSouth Scotland
MorayHighlands & Islands
Motherwell & WishawCentral Scotland
Na h‑Eileanan an IarHighlands & Islands
North East FifeMid Scotland & Fife
OrkneyHighlands & Islands
PaisleyWest Scotland
Perthshire NorthMid Scotland & Fife
Perthshire South & Kinross‑shireMid Scotland & Fife
Renfrewshire North & WestWest Scotland
Renfrewshire SouthWest Scotland
RutherglenGlasgow
ShetlandHighlands & Islands
Skye, Lochaber & BadenochHighlands & Islands
StirlingMid Scotland & Fife
Strathkelvin & BearsdenWest Scotland
Uddingston & BellshillCentral Scotland

Scottish Parliament Regions

All 8 electoral regions with their constituencies.

Central Scotland

  • Airdrie & Shotts
  • Coatbridge & Chryston
  • Cumbernauld & Kilsyth
  • East Kilbride
  • Falkirk East
  • Falkirk West
  • Hamilton, Larkhall & Stonehouse
  • Motherwell & Wishaw
  • Uddingston & Bellshill

Glasgow

  • Glasgow Anniesland
  • Glasgow Cathcart
  • Glasgow Kelvin
  • Glasgow Maryhill & Springburn
  • Glasgow Pollok
  • Glasgow Provan
  • Glasgow Shettleston
  • Glasgow Southside
  • Rutherglen

Highlands & Islands

  • Argyll & Bute
  • Caithness, Sutherland & Ross
  • Inverness & Nairn
  • Moray
  • Na h‑Eileanan an Iar
  • Orkney
  • Shetland
  • Skye, Lochaber & Badenoch

Lothian

  • Almond Valley
  • Edinburgh Central
  • Edinburgh Eastern
  • Edinburgh Northern & Leith
  • Edinburgh Pentlands
  • Edinburgh Southern
  • Edinburgh Western
  • Linlithgow
  • Midlothian North & Musselburgh

Mid Scotland & Fife

  • Clackmannanshire & Dunblane
  • Cowdenbeath
  • Dunfermline
  • Kirkcaldy
  • Mid Fife & Glenrothes
  • North East Fife
  • Perthshire North
  • Perthshire South & Kinross‑shire
  • Stirling

North East Scotland

  • Aberdeen Central
  • Aberdeen Donside
  • Aberdeen South & North Kincardine
  • Aberdeenshire East
  • Aberdeenshire West
  • Angus North & Mearns
  • Angus South
  • Banffshire & Buchan Coast
  • Dundee City East
  • Dundee City West

South Scotland

  • Ayr
  • Carrick, Cumnock & Doon Valley
  • Clydesdale
  • Dumfriesshire
  • East Lothian
  • Ettrick, Roxburgh & Berwickshire
  • Galloway & West Dumfries
  • Kilmarnock & Irvine Valley
  • Midlothian South, Tweeddale & Lauderdale

West Scotland

  • Clydebank & Milngavie
  • Dumbarton
  • Greenock & Inverclyde
  • Inverclyde
  • Paisley
  • Renfrewshire North & West
  • Renfrewshire South
  • Strathkelvin & Bearsden
  • Eastwood

Sources & References

Official data for the Highlands & Islands regional list vote in the 2021 Scottish Parliament Election was obtained from:

This source includes constituency declarations, regional list totals, turnout figures, rejected ballots, and the officially declared results for the Highlands & Islands electoral region.

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