Here's an abstract from a paper "Exporting Christianity: Governance and Doctrine in the Globalization of US Denominations" by Gordon H. Hanson and Chong Xiang
"In this paper we build a model of market competition among religious denominations, using a framework that involves incomplete contracts and the production of club goods. We treat denominations akin to multinational enterprises, which decide which countries to enter based on local market conditions and their own “productivity.” The model yields predictions for how a denomination’s religious doctrine and governance structure affect its ability to attract adherents. We test these predictions using data on the foreign operations of US Protestant denominations in 2005 from the World Christian Database. Consistent with the model, we find that (1) denominations with stricter religious doctrine attract more adherents in countries in which the risk of natural disaster or disease outbreak is greater and in which government provision of health services is weaker, and (2) denominations with a decentralized governance structure attract more adherents in countries in which the productivity of pastor effort is higher. These findings shed light on factors determining the composition of religion within countries, helping account for the rise of new Protestant denominations in recent decades."
It's interesting to read scholars in other disciplines take such different approaches than sociologists.