The broad sense genetic heritability, which quantifies the total proportion of phenotypic variation in a population due to genetic factors, is crucial for understanding trait inheritance. While many existing methods focus on estimating narrow sense heritability, which accounts only for additive genetic variation, this paper introduces a kernel ridge regression approach to estimate broad-sense heritability. We provide both upper and lower bounds for the estimator. The effectiveness of the proposed method was evaluated through extensive simulations of both synthetic data and real data from the 1000 Genomes Project. Additionally, the estimator was applied to data from the Alzheimer's Disease Neuroimaging Initiative to demonstrate its practical utility.

翻译：广义遗传力用于量化群体中由遗传因素导致的表型变异总比例，对于理解性状遗传至关重要。现有方法多聚焦于仅考虑加性遗传变异的狭义遗传力估计，本文提出一种基于核岭回归的广义遗传力估计方法。我们给出了该估计量的上下界估计。通过对合成数据及千人基因组计划真实数据的广泛模拟，评估了所提方法的有效性。此外，该方法被应用于阿尔茨海默病神经影像学计划的数据，以验证其实际应用价值。