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Table 2 Probability of gene origin and genetic variability in the populations of PRE horses

From: Genetic inbreeding depression load for morphological traits and defects in the Pura Raza Española horse

 

Total population

Active population

Reference population

n

328,706

264,084

5026

Maximum generations

17.14

17.96

14.52

Equivalent generations

9.44

9.93

7.81

Complete generations

5.64

5.94

4.67

Founders

1056

428

344

\({F}_{e}\)

33

33

36

\({F}_{eq}\)

871

335

281

Ancestors

1026

301

222

\({F}_{a}\)

19

19

21

\(F\)

7.51%

7.43%

8.39%

\(F>0\)

98.74%

99.98%

96.62%

\({F}_{6}\)

3.20%

2.75%

6.08%

\({F}_{3}\)

1.22%

1.06%

3.13%

\(\Delta F\)

0.96%

0.88%

1.33%

\(\mathrm{AR}\)

11.31%

11.37%

10.76%

  1. n number of animals, \({F}_{e}\) effective number of founders, \({F}_{eq}\) number of equivalent founders, \({F}_{a}\) effective number of ancestors, \(F\) classical inbreeding coefficient, \(F>0\): % of animals with an \(F\) higher than 0, \({F}_{6}\) inbreeding at 6th generation, \({F}_{3}\) recent inbreeding coefficient (at 3rd generation), \(\Delta F\) intergenerational average increase in inbreeding, \(AR\) average relatedness
  2. Total population comprises the whole Pura Raza Española horse population; active population comprises the last two generations (each generation is 10 years); reference population comprises the last five generations from horses with measured morphological traits who are descendants of horses contributing with a \({F}_{ij}\) ≥ 6.25% in at least four offspring