Application of the Wood model to analyse lactation curves of organic dairy sheep farming
Juan Carlos Ángeles Hernández A F , Octavio Castelán Ortega B , Benito Albarrán Portillo C , Hugo H. Montaldo D and Manuel González Ronquillo B EA Programa de Maestría y Doctorado en Ciencias de la Producción y de la Salud Animal, Facultad de Medicina Veterinaria y Zootecnia, Universidad Nacional Autónoma de México, México.
B Departamento de Nutrición Animal, Facultad de Medicina Veterinaria y Zootecnia, Universidad Autónoma del Estado de México, Estado de México, México.
C Centro Universitario UAEM Temascaltepec, Universidad Autónoma del Estado de México, Estado de México, México.
D Departamento de Genética y Bioestadística, Facultad de Medicina Veterinaria y Zootecnia, Universidad Nacional Autónoma de México, México.
E Facultad de Ciencias, Escuela de Ciencias y Tecnología en Recursos Agrícolas y Acuícolas, Universidad de Magallanes, Chile.
F Corresponding author. Email: mvzjuancarlos@comunidad.unam.mx
Animal Production Science 54(10) 1609-1614 https://doi.org/10.1071/AN14272
Submitted: 13 March 2014 Accepted: 13 June 2014 Published: 19 August 2014
Abstract
The aim of the present study was to evaluate the performance of the Wood model to describe the characteristics of lactation curves of dairy ewes under organic management in Mexico. In total, 4861 weekly test-day milk yield records from 194 lactations of crossbred dairy ewes were analysed to assess the performance of an empirical model to fit their lactation curve. We used the mathematical model proposed by Wood. The evaluation criteria were the correlation coefficient (r) between the values of total milk yield observed and estimated, the coefficient of determination (R2), and the mean square prediction error (MSPE). In addition, the peak yield (PYest) and time at peak yield (PTest) were calculated. The Wood model showed adequate goodness of fit (r = 0.95, R2 = 0.92 and MSPE = 0.024). The Wood model detected that 52.06% of lactation curves had a continuously decreasing shape (atypical curve), probably as a consequence of the characteristic management of the organic system, mainly due to the genotype used and the nutritional management. Residuals were greater for atypical curves than for typical ones, indicating differences in the ability of the Wood model to fit the two types of shapes. In typical curves, the Wood model showed adequate estimates of total milk yield and time at peak yield. The peak yield was underestimated both in typical and atypical curves. The Wood model in atypical curves underestimated the time at peak yield and milk yields in late lactation. The Wood model showed a reasonable fit of lactation curve in dairy sheep in organic systems but presented deficiencies of fit in atypical curves; therefore, estimates should be interpreted carefully.
Additional keywords: goodness of fit, mathematical modelling, milk production, organic management.
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