Contributing to the issue of complex relationship between social and cultural evolution, this paper aims to analyze repetitive patterns, or cycles, in the development of material culture. Our analysis focuses on culture change associated with sociopolitical and economic stasis. The proposed toy model describes the cyclical character of the quantitative and qualitative composition of archaeological assemblages, which include hierarchically organized cultural traits. Cycles sequentially process the stages of unification, diversity, and return to unification. This complex dynamic behavior is caused by the ratio between cultural traits’ replication rate and the proportion of traits of the higher taxonomic order’s related unit. Our approach identifies a shift from conformist to anti-conformist transmission, corresponding with open and closed phases in cultural evolution in respect to the introduction of innovations. The model also describes the dependence of a probability for horizontal transmission upon orders of taxonomic hierarchy during open phases. The obtained results are indicative for gradual cultural evolution at the low orders of taxonomic hierarchy and punctuated evolution at its high orders. The similarity of the model outcomes to the patters of material culture change reflecting societal transformations enables discussions around the uncertainty of explanation in archaeology and anthropology.

本文致力于解决社会和文化演变之间复杂关系的问题，旨在分析物质文化发展中的重复模式或循环。我们的分析侧重于与社会政治和经济停滞相关的文化变革。所提出的玩具模型描述了考古组合的定量和定性组成的周期性特征，其中包括分层组织的文化特征。循环依次处理统一、多样性和返回统一的阶段。这种复杂的动态行为是由文化性状的复制率与高等分类目相关单位性状的比例之比引起的。我们的方法确定了从顺从传播到反顺从传播的转变，与引入创新的文化进化的开放和封闭阶段相对应。该模型还描述了开放阶段水平传播概率对分类层次顺序的依赖性。获得的结果表明在分类等级的低阶逐渐文化进化和在其高阶的间断进化。模型结果与反映社会转型的物质文化变化模式的相似性使得能够围绕考古学和人类学解释的不确定性进行讨论。获得的结果表明在分类等级的低阶逐渐文化进化和在其高阶的间断进化。模型结果与反映社会转型的物质文化变化模式的相似性使得能够围绕考古学和人类学解释的不确定性进行讨论。获得的结果表明在分类等级的低阶逐渐文化进化和在其高阶的间断进化。模型结果与反映社会转型的物质文化变化模式的相似性使得能够围绕考古学和人类学解释的不确定性进行讨论。