遗传力曲线：遗传力的局部度量
Heritability curves: a local measure of heritability
摘要：
本文介绍了一种新的遗传力测度，它放宽了传统的连续性状的遗传度可用一个数概括的假设，可用于传统的混合效应模型和协方差（相关）方法不适用的家系成员间性状依赖结构为非线性的情况。我们的想法是将相关曲线的概念与传统的基于相关性的遗传度测量方法相结合，例如Falconer公式。为了估计的目的，我们使用多变量高斯混合，这是能够捕获非线性相关性，并尊重一定的分布约束。我们推导出相关曲线的解析表达式，并研究其限制行为时，性状值变得大或小。其结果是一个衡量遗传力的指标，随性状值的变化而变化。当应用到挪威母亲父亲的孩子三人组的出生体重数据，结论是，低和高出生体重是较低的遗传性状比中等出生体重。另一方面，在研究同卵双胞胎和异卵双胞胎时，我们没有发现类似的身体质量指数（BMI）遗传力的异质性。
英文摘要：
This paper introduces a new measure of heritability which relaxes the classical assumption that the degree of heritability of a continuous trait can be summarized by a single number.This measure can be used in situations where the trait dependence structure between family members is nonlinear, in which case traditional mixed effects models and covariance (correlation) based methods are inadequate. Our idea is to combine the notion of a correlation curve with traditional correlation based measures of heritability, such as the formula of Falconer. For estimation purposes, we use a multivariate Gaussian mixture, which is able to capture non-linear dependence and respects certain distributional constraints. We derive an analytical expression for the associated correlation curve, and investigate its limiting behaviour when the trait value becomes either large or small. The result is a measure of heritability that varies with the trait value. When applied to birth weight data on Norwegian mother father child trios, the conclusion is that low and high birth weight are less heritable traits than medium birth weight. On the other hand, we find no similar heterogeneity in the heritability of Body Mass Index (BMI) when studying monozygotic and dizygotic twins.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
