Estimates of captives carried in the Atlantic slave trade by decade, 1650s to 1860s. Data: routes of voyages and recorded numbers of captives (10 variables and 33,345 cases of slave voyages). Data are organized into 40 routes linking African regions to overseas regions. Purpose: estimation of missing data and totals of captive flows that show voyages per route per decade and captives per route per decade. Method: techniques of Bayesian statistics to estimate missing data on routes and flows of captives. Also included is R-language code for simulating routes and populations Excel