Estimating conditional probabilities of historical migrations in the transatlantic slave trade using kriging and Markov decision process models

Abstract

Intra-African conflicts during the collapse of the kingdom of Oyo from 1817 to 1836 resulted in the enslavement of an estimated 121,000 people who were then transported to coastal ports via complex trade networks and loaded onto slave ships destined for the Americas. Historians have a good record of where these people went across the Atlantic, but little is known about where individuals were from or enslaved within Africa. In this work, we develop a novel two-step statistical approach to describe the enslavement of people given documented violent conflict, the transport of enslaved peoples from their location of capture to their port of departure, and-given an enslaved individual's location of departure-that person's probability of origin. We combine spatial prediction of conflict density via Kriging with a Markov decision process characterising intra-African transporta-