A biphasic curve for modeling, classifying, and predicting egg production in single cycle and molted flocks

Area of Science:

• Poultry Science
• Mathematical Modeling
• Animal Production

Background:

• Egg production follows distinct biological phases: maturation, peak, and decline.
• Previous mathematical models, like Yang et al.'s (1989) compartmental model, have described these production cycles.

Purpose of the Study:

• To propose and validate a biphasic modified compartmental model for modeling, classifying, and predicting egg production.
• To assess the model's applicability to both single-cycle and molted flocks.
• To differentiate between flock types using model performance metrics.

Main Methods:

• Development of a biphasic modified compartmental model.
• Application and evaluation of the model on single-cycle and molted flocks.
• Comparison of the biphasic model's goodness-of-fit (R²) with previous models.

Main Results:

• The biphasic model demonstrated high goodness-of-fit for single-cycle flocks (average R² = 0.99) and molted flocks (average R² = 0.97).
• Differences in R² values between the biphasic model and Yang et al.'s model effectively differentiated between flock types.
• The model accurately predicted future egg production records up to 8 weeks in advance.

Conclusions:

• The biphasic modified compartmental model is effective for modeling, classifying, and predicting egg production in poultry.
• This model provides a valuable tool for benchmarking molted flocks and distinguishing them from single-cycle flocks.
• While predictive accuracy is high within observed ranges, extrapolation beyond these limits requires caution.