Comparison of observed and Gompertz predicted body weights
The BW28, BW42, GBW28 and GBW42 of the four commercial broiler genotypes are presented in Table 1. Ranking of genotypes based on body weight at 28 and 42 days of age followed the same trend for both observed and Gompertz predicted body weights. For BW28, genotypes rank in descending order of D, A, C and B. However, for BW42, the genotype ranking was D, C, A and B. Genotype D was superior for both traits in both the observed and Gompertz predicted body weights whilst genotype B was the least in both traits.
Table 1: Mean (± standard deviation) observed body weights (in kg) at 28 and 42 days of age (BW28 and BW42) and Gompertz predicted body weights at 28 and 42 days of age (GBW28 and GBW42) for four commercial broiler genotypes
Genotype
|
BW28
|
BW42
|
GBW28
|
GBW42
|
A
|
1.0323 ± 0.046ab
|
1.8831 ± 0.063
|
1.0116 ± 0.040ab
|
1.8868 ± 0.063
|
B
|
0.9368 ± 0.047b
|
1.7627 ± 0.065
|
0.9421 ± 0.041b
|
1.7619 ± 0.065
|
C
|
1.0000 ± 0.046b
|
1.8940 ± 0.063
|
0.9960 ± 0.040ab
|
1.8940 ± 0.063
|
D
|
1.1947 ± 0.047a
|
1.9249 ± 0.065
|
1.1466 ± 0.041a
|
1.9363 ± 0.065
|
Overall
|
1.0404 ± 0.036
|
1.8668 ± 0.058
|
1.0236 ± 0.032
|
1.8703 ± 0.032
|
Comparison of observed and polynomial predicted body weights
The ranking of broiler genotypes by body weights followed a similar pattern for both observed and polynomial predicted body weight at 35 days of age but not for 42 days of age (Table 2). At 35 days, ranking of genotypes on body weight was D, C, A and B in descending order. At 42 days of age, whilst genotype D ranked highest for observed body weight, genotype C ranked highest for polynomial predicted body weight.
Table 2: Mean (± standard deviation) observed body weight (in kg) at 35 and 42 days of age (BW28 and BW42) and the Polynomial predicted body weights at 35 and 42 days of age (PBW35 and PBW42) for four commercial broiler genotypes
Line
|
BW35
|
BW42
|
PBW35
|
PBW42
|
A
|
1.2006 ± 0.018c
|
1.8831 ± 0.063
|
1.4486 ± 0.023b
|
1.8272 ± 0.023b
|
B
|
1.1695 ± 0.019c
|
1.7627 ± 0.065
|
1.3391 ± 0.024c
|
1.7009 ± 0.023c
|
C
|
1.2726 ± 0.019b
|
1.8940 ± 0.063
|
1.4956 ± 0.024b
|
1.9301 ± 0.023a
|
D
|
1.3776 ± 0.018a
|
1.9249 ± 0.065
|
1.6359 ± 0.023a
|
1.8405 ± 0.023b
|
Overall
|
1.2562 ± 0.038
|
1.8668 ± 0.058
|
1.4818 ± 0.018
|
1.8250 ± 0.018
|
Comparison of stages of growth (Gompertz function)
Table 3 shows the magnitude of growths for the two stages of growth dubbed early and late growths for both observed and predicted growths. Ranking of genotypes based on the growth (early and late growths) followed a similar pattern for both the observed and Gompertz predicted. For early growth, genotypes are ranked D, A, C and B whilst for late growth they ranked C, A, B and D in descending order of magnitude. With the exception of genotype A which retained its rank for both early and late growths, all other genotypes had a different pattern of growth. Genotype D recorded the largest early growth but a slower growth as it approached maturity. Genotype C, on the other hand, was slow growing in its early life and picked up later in life.
Table 3: Mean (± standard deviation) in kg of observed early and late growths (Early growth(obs) and late growth(obs)) and the Gompertz predicted early and late growths (Early growth(Gomp) and late growth(Gomp)) for four broiler genotypes
Genotype
|
Early growth(obs)
|
Late growth(obs)
|
Early growth(Gomp)
|
Late growth(Gomp)
|
A
|
0.9078 ± 0.046ab
|
0.8506 ± 0.053
|
0.9169 ± 0.042b
|
0.8752 ± 0.046
|
B
|
0.8171 ± 0.047b
|
0.8259 ± 0.055
|
0.8353 ± 0.043b
|
0.8198 ± 0.047
|
C
|
0.8692 ± 0.046b
|
0.8940 ± 0.053
|
0.8642 ± 0.042b
|
0.8980 ± 0.046
|
D
|
1.0718 ± 0.047a
|
0.7302 ± 0.055
|
1.0782 ± 0.043a
|
0.7897 ± 0.047
|
Overall
|
0.9157 ± 0.037
|
0.8264 ± 0.039
|
0.9228 ± 0.037
|
0.8467 ± 0.038
|
Comparison of stages of growth (Polynomial function)
The ranking of the genotypes based on the observed early and late growths and polynomial predicted early and late growths followed similar trends (Table 4). However, the patterns of growth of the genotypes were different. Genotype D recorded the highest growth at the first stage of growth but the slowest growth at later stage of life.
Table 4: Mean (± standard deviation) in kg of observed early and late growths (Early growth(obs) and late growth(obs)) and the polynomial predicted early and late growths (Early growth(poly) and late growth(poly)) for four commercial broiler genotypes
Genotype
|
Early growth(obs)
|
Late growth(obs)
|
Early growth(poly)
|
Late growth(poly)
|
A
|
1.1553 ± 0.018c
|
0.6266 ± 0.016a
|
1.4039 ± 0.023b
|
0.3786 ± 0.016ab
|
B
|
1.1276 ± 0.019c
|
0.5540 ± 0.017b
|
1.2958 ± 0.024c
|
0.3618 ± 0.017b
|
C
|
1.2232 ± 0.019b
|
0.6673 ± 0.017a
|
1.4433 ± 0.024b
|
0.4345 ± 0.017a
|
D
Overall
|
1.3369 ± 0.018a
1.2120 ± 0.015
|
0.4626 ± 0.016c
0.5765 ± 0.014
|
1.5970 ± 0.023a
1.4373 ± 0.020
|
0.2046 ± 0.016c
0.3431 ± 0.014
|
The parameters of the Gompertz function were different for the different broiler genotypes (Table 5). Genotype D had the highest (P<0.05) maturation rate, K compared to the other genotypes even though it came up with the lowest asymptotic body weight, A. There was a strong negative correlation between K and transformed initial body weight, B; and a weak correlation between K and BW42 (Table 7). There was a weak positive correlation between BW42 and parameter A though not significant. The opposite seems to be the case for BW28 and the Gompertz growth curve parameters. There was a significant positive correlation between B and K; and between B and BW28 (Table 7). However, a negative correlation existed between BW28 and A. A significant positive correlation exists between B and K whilst a negative correlation exists between A and B; and between A and K.
The coefficients of the polynomial functions and the observed body weights for the four broiler genotypes are presented in Table 6. For all broiler genotypes, the polynomial coefficients decreased from B0 to B3. Parameter B3 remained negative for all broiler genotypes.
Table 5: Mean (± standard deviation) observed body weights at 28 and 42 days of age (in kg) and Gompertz growth parameters for four commercial broiler genotypes
Genotype
|
BW28
|
BW42
|
A
|
B
|
K
|
A
|
1.0323 ± 0.046ab
|
1.8831 ± 0.063
|
11.77 ± 5.89
|
8.10 ± 0.89b
|
0.365 ± 0.03b
|
B
|
0.9368 ± 0.047b
|
1.7627 ± 0.065
|
12.70 ± 6.05
|
7.35 ± 0.91b
|
0.334 ± 0.03b
|
C
|
1.0000 ± 0.046b
|
1.8940 ± 0.063
|
14.47 ± 5.89
|
7.31 ± 0.89b
|
0.293 ± 0.03b
|
D
|
1.1947 ± 0.047a
|
1.9249 ± 0.065
|
3.11 ± 6.05
|
12.39 ± 0.91a
|
0.515 ± 0.03a
|
Overall
|
1.0404 ± 0.046
|
1.8668 ± 0.058
|
10.58 ± 5.72
|
8.76 ± 0.87
|
0.376 ± 0.02
|
Table 6: Mean (± standard deviation) polynomial growth parameters and the observed body weight at 42 days of age for four commercial broiler genotypes
Genotype
|
B0
|
B1
|
B2
|
B3
|
BW42
|
A
|
551.42 ± 7.62c
|
50.34 ± 1.16bc
|
1.51 ± 0.08b
|
-0.017 ± 0.002a
|
1.8831 ± 0.063
|
B
|
569.05 ± 7.84bc
|
46.46 ± 1.20c
|
0.94 ± 0.08c
|
-0.015 ± 0.002a
|
1.7627 ± 0.065
|
C
|
613.05 ± 7.84a
|
51.97 ± 1.20b
|
1.15 ± 0.08c
|
-0.016 ± 0.002a
|
1.8940 ± 0.063
|
D
|
592.80 ± 7.60ab
|
62.02 ± 1.16a
|
2.06 ± 0.08a
|
-0.042 ± 0.002b
|
1.9249 ± 0.065
|
Overall
|
581.32 ± 7.35
|
52.81 ± 1.04
|
1.43 ± 0.07
|
-0.023 ± 0.04
|
1.8668 ± 0.058
|
Table 7: Phenotypic correlation among observed body weights at 42 and 28 days of age (BW42), BW28 and Gompertz predicted growth parameters (A, B and K)
|
A
|
B
|
K
|
BW42
|
0.020
|
-0.117
|
-0.044
|
BW28
|
-0.378*
|
0.318*
|
0.701*
|
A
|
|
-0.070
|
-0.482*
|
B
|
|
|
0.748*
|
*Correlation is significant at 0.01 level
Table 8: Phenotypic correlation between observed body weight at 42 days of age (BW42) and polynomial predicted growth parameters
|
B0
|
B1
|
B2
|
B3
|
BW42
|
0.635*
|
0.500*
|
0.234*
|
-0.103*
|
B0
|
|
0.471*
|
-0.050
|
-0.229*
|
B1
|
|
|
0.777*
|
-0.891*
|
B2
|
|
|
|
-0.744*
|
*Correlation is significant at 0.01 level
The observed growth curves of the broiler genotypes looked similar at the early stage of growth (first 28 days) after which genotype D increased slightly (Figure 1). However, at the end of growth, all genotypes attained similar body weights with the exception of genotype B which lacked behind but not statistically significant (P>0.05).
The Gompertz predicted growth curves of the four broiler genotypes showed similar pattern as those of the observed growth curves, however the observed growth curves separated at an early stage of 3 weeks of age (21 days) (Figure 2). Genotype B still lacked behind in the Gompertz predicted growth compared to the other genotypes.
Table 9: Correlations between observed body weights and Gompertz predicted (GBW) and Polynomial predicted body weights (PBW) at days 1, 7, 14, 21, 28, 35 and 42
Observed body weight
|
GBW
|
PBW
|
BW1
|
0.793*
|
0.552*
|
BW7
|
0.402*
|
|
BW14
|
0.832*
|
|
BW21
|
0.884*
|
|
BW28
|
0.982*
|
|
BW35
|
|
0.197*
|
BW42
|
0.992
|
0.150*
|
*Correlation is significant at 0.01 level
The correlations among observed body weight at 42 days, polynomial parameters B0, B1, and B2, were all positive and significant (Table 8). Parameter B3 was negatively correlated with all other parameters (B0, B1 and B2). There were strong positive correlations between the observed body weights at different ages and their corresponding Gompertz predicted body weights at different ages (Table 9) with all the correlations being significant. The overall mean observed body weight at 42 days was similar to polynomial predicted body weight at 42 days but not Gompertz predicted 42 days’ body weight (Table 10). Gompertz function had a slightly lower variation for body weight at 42 days compared to those of observed and polynomial functions.
Table 10: Mean body weights at 42 days, minimum, maximum body weights and standard deviations (grams) for observed, Gompertz and polynomial predicted using pooled data
|
BW42Obs
|
BW42Gomp
|
BW42Poly
|
Overall Mean
|
1866.83
|
1870.28
|
1825.04
|
Minimum
|
643.60
|
1330.00
|
643.97
|
Maximum
|
2652.40
|
2658.00
|
2652.64
|
Standard deviation
|
296.90
|
283.24
|
296.75
|