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Modeling with Gaussian Mixture Regression for Lactation Milk Yield in Anatolian Buffaloes


Affiliations
1 Department of Animal Science, Yuzuncu Yil University, 65080 Van, Turkey
2 Department of Animal Science, Siirt University, 56100 Siirt, Turkey
3 Department of Agriculture Biotechnology, Yuzuncu Yil University, 65080 Van, Turkey
     

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The purpose of this study was to classify Anatolian buffalo using Gaussian mixture regression model according to discrete and continuous environmental effects. Gaussian mixture model performs separately regression analysis both within and between groups. This is an important property of Gaussian mixture models which makes it different from other multivariate statistical methods. The data were obtained from 1455 Anatolian buffalo lactation milk yield records reared in seven different locations in Bitlis province, Turkey. Age of dam, lactation duration and locations were considered as environmental effects on lactation milk yield. Data set was divided into three homogenous subgroups with respect to AIC and BIC in the Gaussian mixture regression, based on environmental effects on lactation milk yield. Estimated mean for lactation milk yields and mixing probabilities for the first, second and third subgroups were determined as 1494.33 kg (16.9%), 540.33 kg (45.2%) and 847.61 (37.9%), respectively. The numbers of buffalo in each subgroup according to mixing probability were obtained as 159, 756, and 540 for the first, second, and third groups, respectively. The effects of lactation period, age of dam and villages were found statistically significant on lactation milk yield in subgroup 1 that was highest mean for lactation milk yield (p<0.01). In conclusion, results showed that Gaussian mixture regression was an important tool for classifying quantitative traits considering environmental effects in animal breeding.

Keywords

Anatolian Buffalo, Gaussian Mixture Regression, Lactation Milk Yield.
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  • Modeling with Gaussian Mixture Regression for Lactation Milk Yield in Anatolian Buffaloes

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Authors

Abdullah Yesilova
Department of Animal Science, Yuzuncu Yil University, 65080 Van, Turkey
Ayhan Yilmaz
Department of Animal Science, Siirt University, 56100 Siirt, Turkey
Gazel Ser
Department of Animal Science, Yuzuncu Yil University, 65080 Van, Turkey
Baris Kaki
Department of Agriculture Biotechnology, Yuzuncu Yil University, 65080 Van, Turkey

Abstract


The purpose of this study was to classify Anatolian buffalo using Gaussian mixture regression model according to discrete and continuous environmental effects. Gaussian mixture model performs separately regression analysis both within and between groups. This is an important property of Gaussian mixture models which makes it different from other multivariate statistical methods. The data were obtained from 1455 Anatolian buffalo lactation milk yield records reared in seven different locations in Bitlis province, Turkey. Age of dam, lactation duration and locations were considered as environmental effects on lactation milk yield. Data set was divided into three homogenous subgroups with respect to AIC and BIC in the Gaussian mixture regression, based on environmental effects on lactation milk yield. Estimated mean for lactation milk yields and mixing probabilities for the first, second and third subgroups were determined as 1494.33 kg (16.9%), 540.33 kg (45.2%) and 847.61 (37.9%), respectively. The numbers of buffalo in each subgroup according to mixing probability were obtained as 159, 756, and 540 for the first, second, and third groups, respectively. The effects of lactation period, age of dam and villages were found statistically significant on lactation milk yield in subgroup 1 that was highest mean for lactation milk yield (p<0.01). In conclusion, results showed that Gaussian mixture regression was an important tool for classifying quantitative traits considering environmental effects in animal breeding.

Keywords


Anatolian Buffalo, Gaussian Mixture Regression, Lactation Milk Yield.