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Background on the Citizens' Assembly on Electoral Reform

Electoral Systems: First Past the Post and the Single Transferable Vote

  Quick Comparison Table
  Electoral Districts: Size and Number of MLAs
  Electoral Districts: Number of Candidates
  The Ballot
  Counting the Votes
  Glossary of Key Terms
  Frequently Asked Questions
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Counting the Votes

The process for vote-counting is significantly different under BC-STV than it is under our current system. Under FPTP, it is simply a matter of counting the valid ballots in favour of each candidate, and the candidate with the most votes wins that electoral district.

Under BC-STV, the principle is that voters' preferences should, as much as possible, contribute to electing a candidate. This is why the process of transferring votes, or portions of votes, takes place. More than one round of counting would be necessary in most cases.

BC-STV Vote Counting Simulations

Please click on the following documents to view these simulations. Both documents illustrate hypothetical elections in electoral districts. The first is more basic; the second includes more detail.

Vote Counting Simulation 1 Adobe Acrobat Required. (PDF - 202KB) Vote Counting Simulation 2 Adobe Acrobat Required. (PDF - 88KB)

You can also view an animation on the Citizens' Assembly's web page at:

http://www.citizensassembly.bc.ca/public/extra/animations.xml. This simulation requires Flash Macromedia to view.

The following description is taken from a fact sheet prepared by the Citizens' Assembly on Electoral Reform. A full text description is available in the Technical Report of the Citizens' Assembly, pp. 18-20, accessible at http://www.citizensassembly.bc.ca/public.

Counting the ballots

Calculating the quota
To win a seat in the legislature, a candidate must receive a minimum number of votes - called a quota. This quota is calculated using the number of valid ballots cast in the riding as well as the number of MLAs to be elected in that riding.

Quota = image.

Counting first preferences
After the polls close, all valid ballots are sorted and counted according to the first-preference
candidate marked on each.

Eliminating candidates
If no candidate has the minimum number of votes (quota) needed to be elected, the candidate with the fewest votes is eliminated. All of the eliminated candidate's votes are then redistributed to the second-preference candidates as marked on each ballot.

Transferring surpluses
It is rare for an elected candidate to gain exactly the quota of votes required to be elected.
Successful candidates usually receive more votes than needed to win a seat. Since these
surplus votes are not needed to elect the candidate, they could be considered wasted.
But, because BC-STV is designed to make as many votes as possible count fully and fairly,
these surplus votes are redistributed. But which votes should be selected to redistribute?
To be fair and to ensure vote counting can be precisely repeated, every ballot cast for the
newly elected candidate is redistributed to the next-ranked candidate marked on each ballot.
But, not at full value, because a portion of each vote has already been used to elect a candidate.
The portion of each vote used to give the elected candidate a quota, stays with that candidate. The unused portion is transferred. To determine what fraction of the vote should move on to the next preference, the transfer value is calculated.

transefer value equation image.

So, if a winning candidate has twice as many votes as needed to be elected, instead of
transferring half those votes at full value, all of the votes are transferred at half value to the
candidates ranked next on each ballot. The transfer value in this case is .5 - or ½.

Counting continues until all seats are filled
Counting continues as follows:
The surpluses of elected candidates are redistributed at the appropriate transfer value;
If there are still unfilled seats and no surpluses from elected candidates to redistribute, the least popular candidate is eliminated and those votes are redistributed at full value;
This continues until all seats have been filled.

By-elections
If a seat becomes vacant between elections, a by-election is held in that riding to elect a new MLA. BC-STV specifies that by-elections will use the same type of ballot used in regular BCSTV elections - called a preferential ballot. If only one MLA is to be elected, candidates require a majority of votes (50% + 1) to be elected. If more than one vacancy is to be filled in a district, the normal BC-STV vote counting procedures and quota calculation are used.

Counting Votes image.


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