常用亲属系数计算的一般公式。

General Formulas for Calculating Commonly Used Kinship Index.

机构信息

Department of Forensic Medicine, Tongji Medical College of Huazhong University of Science and Technology, Wuhan 430030, China.

出版信息

Fa Yi Xue Za Zhi. 2023 Jun 25;39(3):276-282. doi: 10.12116/j.issn.1004-5619.2023.530104.

DOI:10.12116/j.issn.1004-5619.2023.530104

PMID:37517016

Abstract

OBJECTIVES

To derive general formulas for calculating commonly used kinship index (KI).

METHODS

By introducing the Kronecker symbol, the formulas used to calculate the same KI under different genotype combinations were summarized into a unified expression.

RESULTS

The general formulas were successfully derived for KI in various case situations, including the paternity index, full sibling index, half sibling index, avuncular index, grandpaternity index, first-cousin index, and second-cousin index between two individuals without or with the mother being involved; grandpaternity index between grandparents and a grandchild without or with the mother being involved; half sibling index between two children with two mothers being involved; full sibling index among three children; and half sibling index among three children with no, one, or two mothers being involved.

CONCLUSIONS

The general formulas given in this study simplify the calculation of KIs and facilitate fast and accurate calculation through programming.

摘要

目的

推导出常用亲缘指数（KI）的计算公式。

方法

通过引入克罗内克符号，将不同基因型组合下计算相同 KI 的公式总结为一个统一的表达式。

结果

成功推导出各种情况下的 KI 的通用公式，包括父权指数、全同胞指数、半同胞指数、叔侄指数、祖父指数、表亲指数和两个个体之间的二级表亲指数，其中包括母亲参与和不参与的情况；祖父母与孙子女之间的祖父指数，包括母亲参与和不参与的情况；两个孩子与两个母亲之间的半同胞指数；三个孩子之间的全同胞指数；以及三个孩子之间的半同胞指数，包括没有、一个或两个母亲参与的情况。