reparto_div {Relectoral}

Allocation using divisor methods

Description

This option uses various methods whose main common feature is that the number of votes obtained by the political candidatures are divided by a series of numbers. The name of the method used depends on the numbers which compose that series. In this sense, the methods admitted are the following:

1. dhont. It is the so-called D'Hondt Law and is the procedure used in Spain to transform votes into seats in the Congress of Deputies. The series of numbers used as a quotient are the integer numbers: 1,2,...n , where n is the number of seats to be distributed.

2. saint_lague. This is the Sainte Lagüe method, Webster's method or odd-numbered divisors. The set of divisors is formed by the odd numbers, that is 1,3,..,2n+1.

3. saint_lague_Mod.It is the modified Sainte Lagüe method, a variant of the Sainte Lagüe method, according to which the initial quotient is v/1.4 and once each party has a seat the standard formula v/(2n+1) is used.

4. Danish. In this method the divisors go from three to three units, that is to say it is formed by the numbers: 1,4,7,10,13... and the n-th divisor would be 3*n-2.

5. Imperiali. The divisors are the positive integers but starting from number 2 onwards, that is: 2,3,4,...

6. Hill_Huntington. In this case the divisors are formed by the following sequence: sqrt(2),sqrt(6),sqrt(12),...., sqrt(n*(n+1))

7. Dean.The set of divisors consists of the following numbers: 4/3, 12/5, 24/7,40/0,....,(2n)(n+1)/(2n+1)

In all cases the value of q is rounded up to the nearest integer.

Usage

reparto_div(candidaturas, votos, escanos, metodo)

Arguments

candidaturas

A text vector containing the name of the parties.

votos

An integer vector with the votes of each party.

escanos

An integer number stating the total number of seats to be allocated.

metodo

It is the method to be used. The allowd values are: c("dhondt","saint_lague","saint_lague_Mod", "Danish","Imperiali","Hill_Huntington", "Dean")

Value

Returns a data.frame with the names of the political parties and the number of Members allocated with the chosen method.

See Also

Restos_Mayores for allocation using the largest remainder method

https://en.wikipedia.org/wiki/D%27Hondt_method on Wikipedia

https://bit.ly/3aEidM9 on Wikipedia.

https://bit.ly/2Q0a0u0 on the internet.

Examples

reparto_div(c("A","B","C","D","E"),c(340000,280000,160000,60000,15000),7,metodo="dhondt")
reparto_div(c("A","B","C","D"),c(340000,280000,160000,60000),7,metodo='saint_lague')
reparto_div(c("A","B","C","D"),c(340000,280000,160000,60000),7,metodo='saint_lague_Mod')
reparto_div(c("A","B","C","D"),c(340000,280000,160000,60000),7,metodo='Danish')
reparto_div(c("A","B","C","D"),c(340000,280000,160000,60000),7,metodo='Imperiali')
reparto_div(c("A","B","C","D"),c(340000,280000,160000,60000),7,metodo='Dean')