Modeling, simulating, and comparing biased archaeological mortuary assemblages

C. L. Kieffer
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Abstract

This paper uses a novel approach to compensate for inherent sampling biases and to compare the age profiles of two ancient Maya sacrificial assemblages to expectations from a model life table for traditional horticultural populations. It seeks to statistically rule out the possibility that either site is accumulated due to a standard mortality process experienced in horticulturalist populations. This analysis utilizes data from Midnight Terror Cave (MTC), Belize and Chichén Itzá (CI), Mexico to compare the observed versus expected death counts by age. Monte-Carlo based estimates of preservation bias were modeled assuming a normal distribution with mean and variance based on expert opinion. This model was used to up-adjust age-specific death counts for both sites to make more robust sample sizes, which were compared to those expected from a model life table at the 5th, 50th, and 95th percentiles of the resampled distribution of preservation bias. At low levels of estimated bias (5th percentile), neither MTC nor CI assemblages could be distinguished from the null-mortality model. At average to higher levels of estimated bias (50th and 95th percentiles), both populations could be statistically distinguished from the null mortality model either across all age intervals or within specific age ranges. After accounting for preservation bias, the findings suggest that both MTC and CI assemblages were unlikely to have accumulated due to a normal mortality pattern experienced within traditional horticulturalist populations, further supporting the ethnographic and archaeological evidence that indicates that the sites are accumulated due to cultural practices related to human sacrifice.
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建模、模拟和比较有偏见的考古太平间组合
本文使用一种新的方法来补偿固有的采样偏差,并将两个古代玛雅祭祀组合的年龄分布与传统园艺种群的模型生命表中的预期进行比较。它试图从统计上排除任何一个位点是由于园艺学家群体经历的标准死亡过程而积累的可能性。该分析利用伯利兹午夜恐怖洞穴(MTC)和墨西哥奇琴伊察(CI)的数据,按年龄比较观察到的死亡人数与预期死亡人数。基于蒙特卡罗的保存偏差估计是基于专家意见,假设具有均值和方差的正态分布进行建模的。该模型用于上调两个地点的年龄特异性死亡人数,以获得更稳健的样本量,并将其与模型寿命表中保存偏差重新采样分布的第5、第50和第95个百分位数的预期样本量进行比较。在低水平的估计偏差(第5百分位)下,MTC和CI组合都无法与零死亡率模型区分开来。在平均到更高水平的估计偏差(第50和第95个百分位数)下,无论是在所有年龄区间还是在特定年龄范围内,这两个群体都可以从统计学上与零死亡率模型区分开来。在考虑了保存偏差后,研究结果表明,由于传统园艺学家群体中经历的正常死亡模式,MTC和CI组合不太可能积累,这进一步支持了人种学和考古证据,表明这些遗址是由于与人类祭祀相关的文化实践而积累的。
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