In the present study,411 third generation and 502 forth generation female ducks of Hubei Black duck were used as the material. Take notes the egg production everyday. We use the SAS software to analyze the parameters of the mathematical model and the fitness of the egg production curve. The MTDFREML software was used to estimate the genetic parameters of egg production (15 traits)and egg quality (10 traits). We also studied the effect of inbreeding on incubation. The results are as follows:1 The egg production curve and the mathematical model of Hubei Black duck.The third generation egg production curve is ideal, which shows a smooth shape. But the forth generation and the total egg production curve are tortous. The Compartmental Model is the best model to fit the third generation egg production, R2=0.9592. The Yangning Model is suitable to the forth generation and the total egg production curve. The R2 are 0.9835 and 0.9232 respectively. The parameters of the Compartmental Model to the third generation egg production are as follows:a=148.7±8.1316, b=0.0142±0.00116, c=0.1088±0.0105, d=1.4173±0.17. The parameters of Yangning Model to forth generation and total egg production are as follows respectively:a=88.5177±1.7491, b=0.00205±0.000619, c=0.8726±0.0755, d=7.2709±0.1169 and a=100.4±2.3429, b=0.00799±0.000623, c=0.6855±0.0758, d=5.3150±0.1870.2 Estimation the genetic parameters of the egg production traits and egg quality traits of Hubei Black duck.The heritabilities of FEBW, FEA and FEW are 0.71,0.38 and 0.21 respectively EN 120 heritability is 0.29. From EN 150 to EN420, the heritabilites are respectively as follows:0.46,0.43,0.35,0.31,0.29,0.24,0.23,0.23,0.19,0.16 and 0.15. The number decrease gradually in regularly. The heritabilities of ESI, ESS, EW, Hu, YC, AH, ESG, YW, AW, Y:A% are 0.32,0.06,0.50,0.24,0.28,0.31,0.04,0.28,0.45,0.23 respectively. The heritabilities of FEBW, EN 150, EN 180, EW, AW are high, h2>0.4. But the heritabilities of EN390, EN420, ESS and ESG is low.The phenotypic and genetic correlations between FEBW with FEA and FEW are 0.39,0.28 and 0.65,0.78 respectively. The phenotypic and genetic correlation between FEA with FEW are 0.39 and 0.91. The phenotypic and genetic correlation between FEBW with EN of each month egg production are minus. The absolute values of phenotypic correlation decrease gradually with the increase of the month.The genetic correlations between FEBT with EN150, EN180……EN390, EN420 are -0.54,-0.60,-0.63,-0.62,-0.58,-0.59,-0.60,-0.60,-0.59,-0.56,-0.56 respectively. They are also minus of the phenotypic and genetic correlation between FEA with each month egg production. The genetic correlation between FEA with EN150, EN180……EN390, EN420 are-1,-1,-0.96,-0.83,-0.79,-0.78,-0.80,-0.81,-0.82,-0.77 and -0.79 respectively. It is similar of the FEW with the FEBW and FEA. The genetic correlation between EN210 with EN300 is more than 0.95, so EN210 can provide a reference when we chose the egg production trait of Jingwu quality duck. The genetic correlation between Hu with ESI, ESS, EW, YC, AH, ESG are 0.76,-0.96,-0.61,-0.30,0.97,0.01 respectively. The value between ESS with ESI, EW, AH, and ESG are -0.74,0.36,0.13,-1.3 The effect of inbreeding on incubationWhen the coefficient of inbreeding is under 15%, the incubation rate is not in significance. With the increase of inbreeding coefficient, the mortality rate of the enbryo also increase, but when the inbreeding coefficient is 20%-25% it decrease. |