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مقایسه عملکرد برخی از توابع غیرخطی در توصیف منحنی رشد گوسفند نژاد زندی

نوع مقاله: مقاله پژوهشی

نویسنده

باشگاه پژوهشگران جوان و نخبگان، واحد سنندج، دانشگاه آزاد اسلامی، سنندج، ایران

چکیده

در این تحقیق برازش مدل­های غیرخطی ون­برتالانفی، گومپرتز، برودی و لجستیک در توصیف منحنی رشد گوسفندان نژاد زندی ایستگاه خُجیر بررسی شد. بدین منظور از 14569 رکورد وزن بدن (از تولد تا 400 روزگی) که به‌صورت روزانه از 3581 رأس گوسفند در سال­های 1370 تا 1392 گرد‌آوری ‌شده بودند، استفاده شد. هر مدل با استفاده از رویة حداقل مربعات غیرخطی (NLIN) نرم‌افزار آماری SAS به­طور جداگانه روی همۀ مشاهده‌ها و نیز به تفکیک فاکتورهای محیطی مؤثر بر وزن بدن (مانند جنس، نوع تولد، فصل تولد، سال تولد و سن مادر در زمان زایش) برازش داده شد. نکوئی برازش هر یک از این مدل­ها با استفاده از معیارهای ضریب تبیین تصحیح‌شده (R2Adj)، معیار اطلاعات آکائیک (AIC)، انحراف معیار مانده­ها (RMSE) و دوربین- واتسون (DW) تعیین شد. بر پایۀ معیارهای مختلف نکوئی برازش، همۀ مدل­های موردبررسی در این پژوهش به‌خوبی توانایی برازش منحنی رشد گوسفندان زندی را دارند. به­هرحال نتایج این بررسی نشان داد که مدل لجستیک با داشتن بالاترین دقت (R2Adj= 0.9702; AIC= 85886) و کم‌ترین خطا (RMSE= 4.61) بهتر از دیگر توابع ریاضی منحنی رشد گوسفند نژاد زندی را برازش کرده و به دنبال آن به ترتیب مدل­های گومپرتز، ون­برتالانفی و برودی قرار گرفتند. نتایج به‌دست‌آمده از این پژوهش نشان می­دهد که از مدل لجستیک می­توان در تنظیم برنامه­های تغذیه­ای، تعیین مشکلات مدیریتی و سن مناسب کشتار بره­های ایستگاه اصلاح نژاد خُجیر کمک گرفت.

کلیدواژه‌ها


عنوان مقاله [English]

Performance comparisons of some nonlinear functions in describing the growth curve of Zandi sheep breed

نویسنده [English]

  • Khabat Kheirabadi
Young Researchers and Elite Club, Sanandaj Branch, Islamic Azad University, Sanandaj, Iran
چکیده [English]

In this research fitness of nonlinear models of Von Bertalanffy, Gompertz, Brody and Logistic to describe the growth curve of Zandi sheep breed of Khojir station was studied. In this order from 14569 body weight records (from birth to 400 days of age) which have been recorded as daily from 3581 heads during the years 1992 to 2014 were used. Each model was fitted separately to body weight records using whole data, and also for different environmental factors (i.e., sex, type of birth, season of birth, year of birth and age of dam) separately using the nonlinear least square (NLIN) procedure of SAS. Goodness of fit of each model was determined using adjusted multiple coefficient of determination (R2Adj), Akaike’s information criterion (AIC), root mean square error (RMSE) and Durbin-Watson (DW). All used models in the current study fitted the growth data of Zandi sheep well based on different goodness of a fitting criteria. However, the results showed that Logistic growth model with the highest accuracy (R2Adj= 0.9702; AIC= 85886) and the lowest error (RMSE= 4.61) could describe growth curve better than the other growth models, and was followed by Gompertz, Von Bertalanffy and Brody growth models, respectively. The results of this research indicate that the Logistic model can be used to the regulate feeding programs, determination of management problems and optimum slaughtering age of lambs at the Khojir breeding situation.

کلیدواژه‌ها [English]

  • Growth parameters
  • mathematical functions
  • nonlinear least square procedure
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