Siedem method

The Siedem Method is a method for allocating seats in parliaments among member states, or in party-list proportional representation systems. Devised by a Zhoushi mathematician Чaraƌa Siedem, it is currently used to allocate seats in the Assembly of the Sekidean Parliament.

Motives

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Usage of the method

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District allocation

Seats are assigned based on the formula:

x = ⌊P_C × (S₀ - S_D × M) ÷ P₀⌋

where:

x is the number of assigned seats to the district

P_C is the population of the district in question

S₀ is the number of total seats available (in ISUA currently set to 500)

S_D is the number of reserved seats (in ISUA currently set to 15)

M is the number of districts (in ISUA currently 9) and P₀ is the total voter pool of the parliament.

Proprotional section

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Assigned section

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Underhang allocation

Due to the implementation of the floor function, some seats remain unclaimed out of the total of S₀, if you add up all the claimed seats. Those underhang seats are distributed using special ranking procedure. Districts are given ranks from 1 to n, based on the coefficient, Q for which it is set, that Q = x ÷ P_C, with the highest Q being ranked as "1", second highest as "2" etc.

After all the districts have been ranked, the seats are assigned by adding one seat to each district, starting at the district ranked as "1" and going down, until the overhang seats run out.

This method ensures, that those seats are assigned to underrepresented districts, at least partially levelling the artificially created disproportionality created by the section of reserved seats.

Seat allocation

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First scrutinia

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Second scrutinia

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