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Table 1 Egg laying equations of F2 and F0 (lines DD and LTI) Japanese quail populations using three theoretical models

From: Search for QTL affecting the shape of the egg laying curve of the Japanese quail

Model 1 [4]

elr(t) = a × exp(-bt)/(1+exp(-c(t-d))

Parameter

a

b

c

d

R2

F2

99.62 ± 0.77

0.00721 ± 0.00024

1.242 ± 0.129

2.901 ± 0.041

0.921

DD

97.55 ± 3.28

0.00899 ± 0.00138

1.022 ± 0.207

3.391 ± 0.177

0.880

LTI

93.24 ± 2.43

0.00734 ± 0.00106

1.253 ± 0.270

3.512 ± 0.154

0.927

Model 2 [6]

y(t) = (yP/t2) × tr × (yP/t2) × Ln [(exp(t/r) + exp(t2/r))/(1 + exp(t2/r))] + r × b4× Ln [(exp(t/r) + exp((t2+P)/r))/(1 + exp((t2+P)/r))]

Parameter

y P

t 2

b 4

P

R2

F2

18.98 ± 0.13

5.186 ± 0.124

-0.1385 ± 0.0055

11.58 ± 1.358

0.922

DD

18.18 ± 0.41

6.169 ± 0.370

-0.2014 ± 0.0401

11.53 ± 3.580

0.880

LTI

17.73 ± 0.28

6.307 ± 0.269

-0.1729 ± 0.0347

12.49 ± 3.132

0.926

Model 3 [7]

y(t) = [21k1× (1-exp(-t))/(1+exp(-t))] - [21(k1-k2)× (1 - exp(-t))/(1+exp(-(t-c2)))]

    

Parameter

k 1

k 2

c 2

-

R2

F2

0.8361 ± 0.0035

0.6712 ± 0.0057

42.01 ± 0.31

-

0.915

DD

0.8045 ± 0.0126

0.6925 ± 0.0215

29.25 ± 1.54

-

0.865

LTI

0.7802 ± 0.0095

0.6771 ± 0.0237

33.55 ± 1.35

-

0.906

  1. 1: elr(t) = egg laying rate and y(t) = number of eggs laid over the three previous weeks, after t weeks of egg laying test.
  2. 2: equations obtained with egg laying data from 359, 65 and 66 quail, in the F2 population and lines DD and LTI, respectively.
  3. a = scale parameter; b = weekly rate of decrease in egg laying after peak; c = indicator of 1/variance in sexual maturity; d = number of weeks in test until sexual maturity.
  4. y P = 3-week production at the egg laying plateau; t 2 = number of weeks in test until egg laying plateau; b4= weekly rate of change in egg laying after the plateau; P = persistency of constant production.
  5. k1 = proportion of peak production during the increasing phase of the curve; k2= proportion of peak production during the decreasing phase of the curve; c2 = duration of peak egg production.