stv.vote // Falkirk, Scotland Bonnybridge and Larbert

The Falkirk, Scotland May 2022 was held on May 5, 2022. 3 seats were filled using Single Transferable Vote from 6 candidates over 5 rounds.

In STV, candidates who reach the quota (1,411 votes) are elected. Surplus votes above the quota are transferred to voters' next preferences. When no candidate reaches the quota, the candidate with the fewest votes is eliminated and their votes are transferred.

Elected candidates:

  1. Billy Buchanan
  2. Bryan Deakin
  3. Jack Redmond

Votes needed to win: 1,411 votes ⌊5,6433+1⌋+1\left\lfloor \frac{5,643}{3 + 1} \right\rfloor + 1

Votes needed to win: 1,411Billy BuchananElected in round 1Bryan DeakinElected in round 4Jack RedmondElected in round 6David GrantEliminated in round 5Jim MuirEliminated in round 3David RobertsonEliminated in round 2

STV Rounds

This Sankey diagram shows the votes of each remaining candidate at each round, as well as the breakdown of votes transferred when each candidate was elected (surplus transfers) or eliminated.

Note that the tabulation (but not the winner) may differ from the official count. You can read more about why this is.

Round 1Round 2Round 3Round 4Round 5Billy BuchananBryan DeakinDavid GrantJack RedmondJim MuirDavid RobertsonExhausted25.2%21.5%18.4%17.6%12.4%4.9%25%21.6%18.5%17.6%12.4%4.9%25%22.7%18.7%19%14.1%25%35.3%18.9%19.7%25%25%19.3%23.2%7.5%Billy BuchananBryan DeakinDavid GrantJack RedmondExhausted

Candidate Clustering

This visualization shows candidates positioned based on second-choice transfers. Candidates whose voters frequently rank each other appear closer together, forming natural "clusters" or voting blocs.

Distance is based on the First Alternate table below — if voters who rank candidate A first often rank candidate B second (and vice versa), they'll appear close together. In STV, proportional representation means winners should be distributed across different clusters, representing diverse voter preferences.

Circle size indicates first-round vote share. Green circles are elected candidates. Hover over candidates to see their top second-choice transfers.

BuchananDeakinGrantMuirRedmondRobertsonLegendElectedNot elected

Pairwise Preferences

For every pair of candidates, this table shows the fraction of voters who preferred one to the other. A preference means that either a voter ranks a candidate ahead of the other, or ranks one candidate but does not list the other. Ballots which rank neither candidate are not counted towards the percent counts.

Note: In multi-seat STV elections, pairwise preferences show overall voter sentiment but don't directly determine outcomes, since votes transfer through multiple elimination and surplus rounds.

Less-preferred Candidate
Preferred Candidate
Bryan Deakin
Jack Redmond
Billy Buchanan
David Grant
Jim Muir
David Robertson
Bryan Deakin0%50.9%46.6%59.2%60%70.9%
Jack Redmond49.1%0%45.7%62.5%49.9%62.9%
Billy Buchanan53.4%54.3%0%65.5%54.6%64.3%
David Grant40.8%37.5%34.5%0%41.4%48.9%
Jim Muir40%50.1%45.4%58.6%0%70%
David Robertson29.1%37.1%35.7%51.1%30%0%

First Alternate

For every pair of candidates, this table shows the fraction of voters who ranked one candidate first ranked the other candidate second.

Second Choice
First Choice
Bryan Deakin
Jack Redmond
Billy Buchanan
David Grant
Jim Muir
David Robertson
Exhausted
Bryan Deakin0%2.3%5.7%0.7%84.9%3.7%2.6%
Jack Redmond6.6%0%27.9%19.7%7.8%14.5%23.5%
Billy Buchanan18.8%28.2%0%20.9%7.9%7.9%16.3%
David Grant1%37.6%29.7%0%1.6%4.4%25.7%
Jim Muir85.1%2.9%2.9%1.1%0%5.7%2.3%
David Robertson18.1%22.7%19.1%3.2%29.2%0%7.6%

This report was generated by stv.vote and may be reproduced under CC-BY. Learn more about stv.vote.

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