Evolutionary thinking can be applied to both cultural microevolution and macroevolution. However, much of the current literature focuses on cultural microevolution. In this article, we argue that the growing availability of large cross-cultural datasets facilitates the use of computational methods derived from evolutionary biology to answer broad-scale questions about the major transitions in human social organization. Biological methods can be extended to human cultural evolution. We illustrate this argument with examples drawn from our recent work on the roles of Big Gods and ritual human sacrifice in the evolution of large, stratified societies. These analyses show that, although the presence of Big Gods is correlated with the evolution of political complexity, in Austronesian cultures at least, they do not play a causal role in ratcheting up political complexity. In contrast, ritual human sacrifice does play a causal role in promoting and sustaining the evolution of stratified societies by maintaining and legitimizing the power of elites. We briefly discuss some common objections to the application of phylogenetic modeling to cultural evolution and argue that the use of these methods does not require a commitment to either gene-like cultural inheritance or to the view that cultures are like vertebrate species. We conclude that the careful application of these methods can substantially enhance the prospects of an evolutionary science of human history. cultural evolution | macroevolution | phylogenetics | religion | Big Gods D arwin's On the Origin of the Species ends with the poetic phrase, "From so simple a beginning endless forms most beautiful and most wonderful have been, and are being, evolved" (1). The central challenge for evolutionary biology is to explain this diversity of endless forms. Evolutionary biologists tackle this task by studying both microevolution (changes in gene frequency within a population) and macroevolution (changes between species over much longer time periods). The aim is to have a mechanistic understanding of the evolution of biological diversity that integrates microlevel processes and macrolevel patterns. This work examines ways in which evolutionary thinking and methods can be extended into the realm of culture, extending the scope of biology to include questions that have traditionally been restricted to the humanities and social sciences. Human cultures also display a vast variety of most beautiful and most wonderful forms. We speak ∼7,000 different languages, engage in hundreds of different religious practices, build many different types of houses, exploit different resources for subsistence, use numerous different kinship systems, and abide by a striking array of marital, sexual, and child-rearing norms (2). The cultural processes that produce such striking cultural diversity must be explained. The field of cultural evolution is currently beginning to blossom (Fig. 1). There is a new cultural evolution society, a proposed journal, and an inaugural conference (3). However,...