EXPLORING FACTORS INFLUENCING AVERAGE CALL NUMBERS IN OWL NESTLINGS: A GENERALIZED LINEAR MIXED MODEL STRUCTURE WITH LAPLACE APPROXIMATION AND ADAPTIVE GAUSSIAN-HERMITE QUADRATURE METHOD

Öz

Understanding the factors that influence the begging behavior of owl nestlings (or chicks) is critical for elucidating parent-offspring communication and resource allocation strategies. This study examines the average call numbers of owl nestlings, focusing on the effects of brood size, food treatment, and parental arrival time. Since the data conform to a Poisson distribution, it employs a generalized linear mixed model (GLMM) framework that incorporates both fixed and random effects to account for variability at the individual and nest levels. Laplace approximation and Adaptive Gaussian-Hermite Quadrature (AGHQ) method enhance the precision of parameter estimation. The results demonstrate significant interactions between brood size and food treatment, highlighting the adaptive nature of begging calls in response to parental provisioning strategies. The findings emphasize the importance of advanced statistical methodologies, such as GLMM with Laplace and AGHQ, in studying complex ecological behaviors. This approach provides a robust framework for ongoing research into the dynamics of avian communication and parental investment.

Anahtar Kelimeler

• Begging Behavior
• Generalized Linear Mixed Model
• Laplace
• Adaptive Gaussian-Hermite Quadrature

BAYKUŞ YAVRULARINDA ORTALAMA ÇAĞRI SAYILARINI ETKİLEYEN FAKTÖRLERİN İNCELENMESİ: LAPLACE YAKLAŞIMI VE ADAPTİVE GAUSSİAN-HERMİTE QUADRATURE YÖNTEMİ İLE GENELLEŞTİRİLMİŞ LİNEER KARMA MODEL YAPISI

Öz

Baykuş yavrularının dilenme davranışını etkileyen faktörlerin anlaşılması, ebeveyn-yavru iletişimi ve kaynak tahsis stratejilerinin aydınlatılması açısından kritik öneme sahiptir. Bu çalışma, kuluçka boyutu, beslenme durumu ve ebeveyn varış zamanı gibi faktörlerin baykuş yavrularının ortalama çağrı sayıları üzerindeki etkilerini incelemektedir. Verilerin Poisson dağılımına uygun olması nedeniyle, bireyler ve yuvalar düzeyindeki değişkenliği dikkate alan sabit ve rastgele etkileri içeren bir genelleştirilmiş lineer karma model (GLMM) çerçevesi kullanılmaktadır. Parametre tahminlerinin doğruluğunu artırmak için Laplace yaklaşımı ve Adaptive Gaussian-Hermite Quadrature (AGHQ) yönteminden faydalanılmaktadır. Sonuçlar, kuluçka boyutu ve beslenme durumu arasında anlamlı etkileşimler olduğunu göstermekte ve dilenme çağrılarının ebeveynin besin sağlama stratejilerine uyum sağladığını vurgulamaktadır. Bulgular, GLMM ile Laplace ve AGHQ gibi ileri düzey istatistiksel metodolojilerin karmaşık ekolojik davranışları incelemedeki önemini ortaya koymaktadır. Bu yaklaşım, kuş iletişimi ve ebeveyn yatırım dinamikleri üzerine devam eden araştırmalar için sağlam bir çerçeve sunmaktadır.

Anahtar Kelimeler

• Dilenme Davranışı
• Genelleştirilmiş Lineer Karma Model
• Laplace
• Adaptive Gaussian-Hermite Quadrature

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