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Effects of cricket meal supplementation on estimated growth-curve parameters in Thai indigenous chickens Cover

Effects of cricket meal supplementation on estimated growth-curve parameters in Thai indigenous chickens

Open Access
|Oct 2026

Figures & Tables

Table 1

Ingredient composition and calculated nutrient contents of the experimental diets containing 0 or 15% CM

CompositionStarter feed (day old chick to 4 weeks)Grower and finisher feed (5–16 weeks)
Ingredient0% CM15% CM0% CM15% CM
Corn (%)62.0564.3557.7363.54
Soybean meal (%)30.7017.2226.0612.00
House cricket meal (%)0.0015.000.0015.00
Palm oil (%)3.920.005.150.00
Cellulose (%)0.000.007.966.24
Limestone (%)1.331.351.451.52
Dicalcium phosphate (%)0.710.750.380.37
Vitamin–Mineral (%)
Premix1 (%)0.250.250.250.25
L-Lysine (%)0.250.290.230.29
Sodium chloride (%)0.240.240.240.24
DL-Methionine (%)0.210.200.210.20
Sodium bicarbonate (%)0.200.200.200.20
L-Threonine (%)0.070.080.070.08
Choline chloride (%)0.070.070.070.07
Chemical composition
ME (kcal/kg)3112.003112.002970.002970.00
Crude protein (%)19.5019.5017.0017.00
Crude fat (%)6.516.237.516.12
Crude fiber (%)3.184.7410.4010.40
Calcium (%)0.900.900.810.80
Available phosphorus (%)0.450.450.320.32
Lysine (%)1.201.191.041.04
Methionine (%)0.510.500.470.47
Methionine + Cysteine (%)0.840.890.760.75
Threonine (%)0.800.800.700.70
Arginine (%)1.291.211.111.03
Tyrosine (%)0.610.710.530.62
Tryptophan (%)0.240.190.210.16

[i] 1Vitamin–mineral premix (Feed Specialties Co., Ltd, Pathum Thani, Thailand) supplied per kg of diet: vitamin A, 2,500,000 IU; vitamin D3, 1,000,000 IU; vitamin E, 7,000 IU; vitamin K, 700 mg; vitamin B1, 400 mg; vitamin B2, 800 mg; vitamin B6, 400 mg; vitamin B12, 4 mg; biotin, 30 mg; pantothenic acid, 3,111 mg; folic acid, 100 mg; vitamin C, 15,000 mg; niacin (vitamin B3), 5,600 mg; Zn, 10,500 mg; Fe, 10,920 mg; Mn, 9,960 mg; Cu, 3,850 mg; I, 137 mg; and Se, 70 mg. Diets were formulated to be iso-nitrogenous and iso-energetic within each feeding phase, with CM partially replacing soybean meal in the cricket meal treatment. Nutrient values are calculated compositions. ME = metabolizable energy.

Four panels display body weight (g) from hatch to 16 weeks for the Brody, Gompertz, Richards, and Von Bertalanffy models. Colored symbols identify eight groups formed by breed (BT or NK), diet (0% CM or 15% CM), and sex (male or female). Grey lines show individual fitted trajectories, and the bold line shows the mean fitted trajectory. Body weight increases with age in every group, and the four models produce broadly similar increasing trajectories.
Figure 1

Observed BW trajectories and fitted growth curves of Thai indigenous chickens under four nonlinear growth models. Symbols represent observed BW measurements from hatch to 16 weeks of age. Grey lines represent individual fitted trajectories, and the bold line indicates the mean fitted trajectory. BT = Betong; NK = Nin Kaset; 0% CM = diet containing 0% Acheta domesticus meal or control diet; 15% CM = diet containing 15% Acheta domesticus meal; M = male; F = female.

Table 2

Goodness-of-fit statistics (mean value ± SD) and frequency of individual best fits among all birds (n = 151) for four nonlinear growth models fitted to BW trajectories of Thai indigenous chickens

ParameterModel
BrodyGompertzRichardsVon Bertalanffy
R 2 0.972 ± 0.030.996 ± 0.010.997 ± 0.010.996 ± 0.01
Best-fit proportion (R 2)5.3% (8/151)11.92% (18/151)37.09% (56/151)45.70% (69/151)
Adj-R 2 0.961 ± 0.040.994 ± 0.010.995 ± 0.010.993 ± 0.01
Best-fit proportion (Adj-R 2)4.64% (7/151)23.18% (35/151)26.49% (40/151)45.70% (69/151)
AIC164.98 ± 49.06134.38 ± 37.46134.04 ± 36.33134.66 ± 38.19
Best-fit proportion (AIC)5.3% (8/151)26.49% (40/151)22.52% (34/151)45.70% (69/151)
BIC167.55 ± 50.12136.96 ± 38.52137.26 ± 37.65137.23 ± 39.24
Best-fit proportion (BIC)5.3% (8/151)27.15% (41/151)21.85% (33/151)45.70% (69/151)

Goodness-of-fit statistics are presented as mean value ± SD for birds with converged and biologically plausible parameter estimates (n = 108). Best-fit proportions (% [n]) were calculated using all birds included in the initial model-comparison procedure (n = 151). The Brody, Gompertz, Richards, and Von Bertalanffy models were fitted separately to individual BW trajectories. R 2 = coefficient of determination; Adj-R 2 = adjusted coefficient of determination; AIC = Akaike information criterion; BIC = Bayesian information criterion.

Table 3

Type III tests of fixed effects for VB growth-curve parameters (A, B, and k) in Thai indigenous chickens

Effect A(g) B k
Den DF F-value P-valueDen DF F-value P-valueDen DF F-value P-value
Breed1001.970.163514.50.300.59191006.370.0132
Feed1007.300.008114.55.160.038910010.020.0020
Sex10028.28< 0.000199.813.550.00041002.420.1229
Breed × Feed1000.030.863114.50.890.36111000.050.8224
Breed × Sex1000.000.960999.80.040.84531000.140.7074
Feed × Sex1000.030.864299.80.980.32541000.520.4734
Breed × Feed × Sex1000.620.432399.80.000.99001000.040.8364

Num DF = numerator degrees of freedom; Den DF = denominator degrees of freedom. VB growth-curve parameters were analyzed as dependent variables, where A = asymptotic parameter (g), B = integration constant, and k = growth-rate parameter (week−1). Fixed effects included breed (BT and NK), feed (0% CM and 15% CM), sex (male and female), and their interactions. Parameters were analyzed using a linear mixed-effects model with pen fitted as a random effect. Reported statistics include Den DF, F-values, and P-values from Type III tests of fixed effects. Denominator degrees of freedom were estimated using the Kenward–Roger approximation.

Table 4

LSMeans (± SE) of VB growth-curve parameters (A, B, and k) according to feed, breed, and sex

Main effect A (g) B k
BreedBT4040.25 ± 228.590.7777 ± 0.011760.07354 ± 0.005599b
NK3607.93 ± 206.430.7689 ± 0.010930.09257 ± 0.005056a
P-value0.16350.59190.0132
Feed0% CM4240.29 ± 258.10a 0.7915 ± 0.01281a 0.07111 ± 0.006321b
15% CM3407.89 ± 168.08b 0.7550 ± 0.009679b 0.09500 ± 0.004117a
P-value0.00810.03890.0020
SexM4643.12 ± 271.59a 0.7976 ± 0.01242a 0.07719 ± 0.006652
F3005.06 ± 145.27b 0.7489 ± 0.007893b 0.08892 ± 0.003558
P-value<0.00010.00040.1229

A = asymptotic parameter (g); B = integration constant; k = growth-rate parameter (week−1). LSMeans ± SE were estimated from the mixed model described in Table 3. BT = Betong; NK = Nin Kaset; 0% CM = diet containing 0% Acheta domesticus meal or control diet; 15% = diet containing 15% CM; M = male; F = female. Mean values within a column bearing different letters differ significantly (Tukey-adjusted P < 0.05).

Table 5

Estimated effects (CM − Control) of 15% CM supplementation on VB growth-curve parameters

Parameter0% CM (Control)15% CMDiff95% Confidence P-value
A (g)4240.29 ± 258.10a 3407.89 ± 168.08b −832.40(−1443.46, −221.34)0.0081
B 0.7915 ± 0.0128a 0.7550 ± 0.0097b −0.0365(−0.0708, −0.0021)0.0389
k 0.0711 ± 0.0063b 0.0950 ± 0.0041a 0.0239(0.0089, 0.0389)0.0020

Estimated effects were derived from the linear mixed model described in Table 3 and are expressed as CM − Control. A = asymptotic parameter (g); B = integration constant; k = growth-rate parameter (week−1). CM = diet containing Acheta domesticus meal. Values are presented as estimate ± SE, together with 95% confidence intervals and associated P-values. Positive estimates indicate larger parameter values in CM-fed birds relative to control-fed birds.

Mean values within a column bearing different letters differ significantly (Tukey-adjusted P < 0.05).

A 3 × 3 scatterplot matrix summarizes the Von Bertalanffy asymptotic weight parameter (A), integration constant (B), and growth-rate parameter (k). Diagonal panels show marginal distributions, and lower panels show individual parameter estimates. A is positively related to B, whereas k is negatively related to both A and B. Upper panels report Pearson correlations and SE: A–B, r = 0.763 and SE = 0.041; A–k, r = −0.710 and SE = 0.048; and B–k, r = −0.569 and SE = 0.066. All three correlations are marked as statistically significant (***).
Figure 2

Pairwise relationships among Von Bertalanffy growth-curve parameters estimated for individual birds. Diagonal panels show marginal distributions of the asymptotic parameter (A), integration constant (B), and growth-rate parameter (k, week−1), whereas off-diagonal panels display pairwise scatterplots. Pearson correlation coefficients (r) and SE are shown in the upper panels. Correlations should be interpreted as descriptive associations among jointly estimated model parameters. *** P < 0.001.

DOI: https://doi.org/10.2478/aoas-2027-0006 | Journal eISSN: 2300-8733 (formerly 1642-3402) | Journal ISSN: 1642-3402
Language: English
Submitted on: Feb 9, 2026
Accepted on: Jun 12, 2026
Published on: Oct 27, 2026
Published by: National Research Institute of Animal Production
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
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© 2026 Putawan Munkong, Thanathip Suwanasopee, Skorn Koonawootrittriron, published by National Research Institute of Animal Production
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.