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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.