Exploring the Use of Random Regression Models withLegendre Polynomials to Analyze Clutch Sizein Iranian Native Fowl
محورهای موضوعی : Camelع. عبادی تبریزی 1 , م. طهمورث‌پور 2 , ع. نجاتی جوارمی 3
1 - Department of Animal Science, Faculty of Agriculture, Ferdowsi University of Mashhad, Mashhad, Iran
2 - Department of Animal Science, Faculty of Agriculture, Ferdowsi University of Mashhad, Mashhad, Iran
3 - Department of Animal Science, Faculty of Agriculture and Natural Resources, University of Tehran, Karaj, Iran
کلید واژه: clutch size, Iranian native fowl, legendre polynomial, meristic trait, random regression,
چکیده مقاله :
Random regression models (RRM) have become common for the analysis of longitudinal data or repeated records on individual over time. The goal of this paper was to explore the use of random regression models with orthogonal / Legendre polynomials (RRL) to analyze new repeated measures called clutch size (CS) as a meristic trait for Iranian native fowl. Legendre polynomial functions of increasing order 0 (no covariate) to 4 were fitted to the age at sexual maturity (ASM) and 1 to 10 to the additive genetic and permanent environmental effects. Days in production (clutch) were used as time variables. Homogeneity of residual variance through the time was assumed. Analyses were carried out within restricted maximum likelihood algorithm (REML) using WOMBAT software. Adequacy of models was checked by Bayesian information criterion (BIC). The resulted BICs suggested a model composed of the second order polynomial for ASM and 8th order polynomial for additive genetic and permanent environmental effect was the most suitable for adjusting the present records. The highest phenotypic and permanent environmental variance of CS was at the beginning of the production period. Additive genetic variance was fairly consistent during 210 and 265 days of age (d 210-d265). Estimates of heritability for CS ranged from 0.033 to 0.199 for d 161 and d 242 in the first cycle of egg production, respectively. The ratio of animal permanent environmental variance to phenotypic variance was in the range of 0.01 and 0.264. The estimated ranges for additive genetic and permanent environmental correlations were -0.18 to 0.99 and -0.5 to 0.99, respectively and were high between the adjacent ages and they tended to decrease at nonadjacent ages.
در حال حاضر، مدل‌های تابعیت تصادفی (RRM) برای تجزیه و تحلیل داده‌های تکرار شونده در زمان، به عنوان مدل روتین مورد استفاده قرار گرفته است. هدف این مقاله کشف نحوه بکارگیری مدل‌های تابعیت تصادفی چند جمله‌ای لژاندر در تجزیه و تحلیل رکوردهای تکرار شونده جدیدی به نام طول کلاچ (CS) به عنوان یک صفت مریستیک برای مرغان بومی ایران بود. توابع چند جمله‌ای لژاندر با درجه صفر تا 4 برای سن بلوغ جنسی (ASM) و با درجه 1 تا 10 برای اثرات ژنتیکی افزایشی و محیط دائم برازش داده شد. روز تولید به عنوان متغیر زمان در نظر گرفته شد. واریانس باقیمانده در طی زمان همگن فرض شد. آنالیزها در چارچوب حداکثر درستنمایی محدود شده و با استفاده از نرم افزار WOMBAT اجرا گردید. کفایت مدل‌ها با معیار اطلاعات بیزی (BIC) مورد بررسی قرار گرفت. بر اساس معیار اطلاعات بیزی حاصل شده از آنالیزها، مدل چند جمله‌ای با درجه 2 برای ASM و درجه 8 برای اثرات ژنتیکی افزایشی و محیط دائم، بهترین برازش را برای رکوردهای حاضر داشت. بالاترین واریانس فنوتیپی و محیط دایم صفت CS در ابتدای دوره تولید بود. واریانس ژنتیک افزایشی طی سنین 210 تا 265 روزگی نسبتاً ثابت ماند. برآورد وراثت پذیری صفت CS در محدوده 033/0 و 199/0 به ترتیب در روزهای 161 و 242 از دوره اول تخمگذاری بود. نسبت واریانس محیط دائم به واریانس فنوتیپی در محدوده 01/0 تا 264/0 بود. محدوده برآورد همبستگی ژنتیک افزایشی و محیط دائم به ترتیب 18/0- تا 99/0 و 5/0- تا 99/0 بود. همبستگی‌ها بین سنین نزدیک بهم بالا و با افزایش فاصله بین سنین، کاهش یافت.
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