Swedlund A C, Anderson A B, Boyce A J
Am J Phys Anthropol. 1985 Dec;68(4):539-47. doi: 10.1002/ajpa.1330680410.
In a previous paper (Swedlund et al., 1984) we have described the population structure of the historical Connecticut River Valley of Massachusetts in terms of matrimonial migration matrices. Using procedures described by Morton (1973), Harpending and Jenkins (1974), Jorde (1980), and others the exchanges between subdivisions which make up the matrices are made column stochastic and analyzed to predict genetic kinship. Subsequently the kinship estimates within and between subdivisions can be interpreted as genetic covariance and compared to the actual geographic distances between the respective subdivisions using a principal components analysis. In the present paper we extend these results by applying nonmetric multidimensional scaling to the migration matrices, and to isonymy matrices based on the same communities. We demonstrate that the multidimensional scaling configurations of marital migration represent the actual geographic relationships between the communities quite effectively for this particular case study from historical Massachusetts. Moreover, we argue that while these migration data may provide good estimates of social and genetic exchange between the subdivisions, surname analysis may also be informative of processes not revealed in the migration matrices alone.
在之前的一篇论文中（斯韦德伦德等人，1984年），我们根据婚姻迁移矩阵描述了马萨诸塞州历史悠久的康涅狄格河谷的人口结构。使用莫顿（1973年）、哈彭丁和詹金斯（1974年）、乔德（1980年）等人所描述的程序，对构成矩阵的各分区之间的交换进行列随机化处理，并进行分析以预测遗传亲缘关系。随后，各分区内部和之间的亲缘关系估计值可解释为遗传协方差，并使用主成分分析与各分区之间的实际地理距离进行比较。在本文中，我们通过将非度量多维标度法应用于迁移矩阵以及基于相同社区的同姓矩阵来扩展这些结果。我们证明，对于来自历史上的马萨诸塞州的这个特定案例研究，婚姻迁移的多维标度配置相当有效地代表了各社区之间的实际地理关系。此外，我们认为，虽然这些迁移数据可能很好地估计了各分区之间的社会和遗传交换，但姓氏分析也可能揭示仅从迁移矩阵中无法发现的过程。
