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Table 2 Mating table for two preference/two trait model

From: The role of sexual preferences in intrasexual female competition

  

Males

Females

 

x1

x2

x3

x4

x5

x6

x7

x8

x9

x10

x11

x12

x13

x14

x15

x16

 

x 1

α p x 1 x 1 Z 1

α x 1 x 2 Z 1

α x 1 x 3 Z 1

x 1 x 4 Z 1

α p x 1 x 5 Z 1

α x 1 x 6 Z 1

α x 1 x 7 Z 1

x 1 x 8 Z 1

α p x 1 x 9 Z 1

α x 1 x 10 Z 1

α x 1 x 11 Z 1

x 1 x 12 Z 1

α p x 1 x 13 Z 1

α x 1 x 14 Z 1

α x 1 x 15 Z 1

x 1 x 16 Z 1

 

X2

α p x 2 x 1 Z 1

α x 2 x 2 Z 1

α x 2 x 3 Z 1

x 2 x 4 Z 1

α p x 2 x 5 Z 1

α x 2 x 6 Z 1

α x 2 x 7 Z 1

x 2 x 8 Z 1

α p x 2 x 9 Z 1

α x 2 x 10 Z 1

α x 2 x 11 Z 1

x 2 x 12 Z 1

α p x 2 x 13 Z 1

α x 2 x 14 Z 1

α x 2 x 15 Z 1

x 2 x 16 Z 1

 

X3

α p x 3 x 1 Z 1

α x 3 x 2 Z 1

α x 3 x 3 Z 1

x 3 x 4 Z 1

α p x 3 x 5 Z 1

α x 3 x 6 Z 1

α x 3 x 7 Z 1

x 3 x 8 Z 1

α p x 3 x 9 Z 1

α x 3 x 10 Z 1

α x 3 x 11 Z 1

x 3 x 12 Z 1

α p x 3 x 13 Z 1

α x 3 x 14 Z 1

α x 3 x 15 Z 1

x 3 x 16 Z 1

 

X4

α p x 4 x 1 Z 4

α x 4 x 2 Z 1

α x 4 x 3 Z 1

x 4 x 4 Z 1

α p x 4 x 5 Z 1

α x 4 x 6 Z 1

α x 4 x 7 Z 1

x 4 x 8 Z 1

α p x 4 x 9 Z 1

α x 4 x 10 Z 1

α x 4 x 11 Z 1

x 4 x 12 Z 1

α p x 4 x 13 Z 1

α x 4 x 14 Z 1

α x 4 x 15 Z 1

x 1 x 16 Z 1

 

x5

α x 5 x 2 Z 2

α x 5 x 2 Z 2

x 5 x 3 Z 2

x 5 x 4 Z 2

α x 5 x 5 Z 2

α x 5 x 6 Z 2

x 5 x 7 Z 2

x 5 x 8 Z 2

α x 5 x 9 Z 2

α x 5 x 10 Z 2

x 5 x 11 Z 2

x 5 x 12 Z 2

α x 5 x 13 Z 2

α x 5 x 14 Z 2

x 5 x 15 Z 2

x 5 x 16 Z 2

 

x6

α x 6 x 2 Z 2

α x 6 x 2 Z 2

x 6 x 3 Z 2

x 6 x 4 Z 2

α x 6 x 5 Z 2

α x 6 x 6 Z 2

x 6 x 7 Z 2

x 6 x 8 Z 2

α x 6 x 9 Z 2

α x 6 x 10 Z 2

x 6 x 11 Z 2

x 6 x 12 Z 2

α x 6 x 13 Z 2

α x 6 x 14 Z 2

x 6 x 15 Z 2

x 6 x 16 Z 2

 

x7

α x 7 x 2 Z 2

α x 7 x 2 Z 2

x 7 x 3 Z 2

x 7 x 4 Z 2

α x 7 x 5 Z 2

α x 7 x 6 Z 2

x 7 x 7 Z 2

x 7 x 8 Z 2

α x 7 x 9 Z 2

α x 7 x 10 Z 2

x 7 x 11 Z 2

x 7 x 12 Z 2

α x 7 x 13 Z 2

α x 7 x 14 Z 2

x 7 x 15 Z 2

x 7 x 16 Z 2

 

x8

α x 8 x 2 Z 2

α x 8 x 2 Z 2

x 8 x 3 Z 2

x 8 x 4 Z 2

α x 8 x 5 Z 2

α x 8 x 6 Z 2

x 8 x 7 Z 2

x 8 x 8 Z 2

α x 8 x 9 Z 2

α x 8 x 10 Z 2

x 8 x 11 Z 2

x 8 x 12 Z 2

α x 8 x 13 Z 2

α x 8 x 14 Z 2

x 8 x 15 Z 2

x 8 x 16 Z 2

 

x9

α x 9 x 2 Z 3

x 9 x 2 Z 3

α x 9 x 3 Z 3

x 9 x 4 Z 3

α x 9 x 5 Z 3

x 9 x 6 Z 3

α x 9 x 7 Z 3

x 9 x 8 Z 3

α x 9 x 9 Z 3

x 9 x 10 Z 3

α x 9 x 11 Z 3

x 9 x 12 Z 3

α x 9 x 13 Z 3

x 9 x 14 Z 3

α x 9 x 15 Z 3

x 9 x 16 Z 3

 

x10

α x 10 x 2 Z 3

x 10 x 2 Z 3

α x 10 x 3 Z 3

x 10 x 4 Z 3

α x 10 x 5 Z 3

x 10 x 6 Z 3

α x 10 x 7 Z 3

x 10 x 8 Z 3

α x 10 x 9 Z 3

x 10 x 10 Z 3

α x 10 x 11 Z 3

x 10 x 12 Z 3

α x 10 x 13 Z 3

x 10 x 14 Z 3

α x 10 x 15 Z 3

x 10 x 16 Z 3

 

x11

α x 11 x 2 Z 3

x 11 x 2 Z 3

α x 11 x 3 Z 3

x 11 x 4 Z 3

α x 11 x 5 Z 3

x 11 x 6 Z 3

α x 11 x 7 Z 3

x 11 x 8 Z 3

α x 11 x 9 Z 3

x 11 x 10 Z 3

α x 11 x 11 Z 3

x 11 x 12 Z 3

α x 11 x 13 Z 3

x 11 x 14 Z 3

α x 11 x 15 Z 3

x 11 x 16 Z 3

 

x12

α x 12 x 2 Z 3

x 12 x 2 Z 3

α x 12 x 3 Z 3

x 12 x 4 Z 3

α x 12 x 5 Z 3

x 12 x 6 Z 3

α x 12 x 7 Z 3

x 12 x 8 Z 3

α x 12 x 9 Z 3

x 12 x 10 Z 3

α x 12 x 11 Z 3

x 12 x 12 Z 3

α x 12 x 13 Z 3

x 12 x 14 Z 3

α x 12 x 15 Z 3

x 12 x 16 Z 3

 

x13

(x13x1)

(x13x2

(x13x3)

(x13x4)

(x13x5)

(x13x6)

(x13x7)

(x13x8)

(x13x9)

(x13x10)

(x13x11)

(x13x12)

(x13x13)

(x13x14)

(x13x15)

(x13x16)

 

x14

(x14x1)

(x14x2)

(x14x3)

(x14x4)

(x14x5)

(x14x6)

(x14x7)

(x14x8)

(x14x9)

(x14x10)

(x14x11)

(x14x12)

(x14x13)

(x14x14)

(x14x15)

(x14x16)

 

x15

(x15x1)

(x15x2)

(x15x3)

(x15x4)

(x15x5)

(x15x6)

(x15x7)

(x15x8)

(x15x9)

(x15x10)

(x15x11)

(x15x12)

(x15x13)

(x15x14)

(x15x15)

(x15x16)

 

x16

(x16x1)

(x16x2)

(x16x3)

(x16x4)

(x16x5)

(x16x6)

(x16x7)

(x16x8)

(x16x9)

(x16x10)

(x16x11)

(x16x12)

(x16x13)

(x16x14)

(x16x15)

(x16x16)

 

Z1 = αp(x1 + x5 + x9 + x13) + α(x2 + x3 + x6 + x7 + x10 + x11 + x14 + x15) + x4 + x8 + x12 + x16

 

Z2 = α(x1 + x2 + x5 + x6 + x9 + x10 + x13 + x14) + x3 + x4 + x7 + x8 + x11 + x12 + x15 + x16

 

Z3 = α(x1 + x3 + x5 + x7 + x9 + x11 + x13 + x15) + x2 + x4 + x6 + x8 + x10 + x12 + x14 + x16