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

作者: Eric Vance , Ashton Wiens , Henry B. Lovejoy , Zachary Mullen

DOI:

关键词: HistoryMarkov decision processEconometricsProbabilistic logicPort (computer networking)KrigingTRACE (psycholinguistics)DiasporaConditional probabilityPeriod (music)

摘要: Intra-African conflicts during the collapse of kingdom Oyo from 1817 to 1836 resulted in enslavement an estimated 121,000 people who were then transported coastal ports via complex trade networks and loaded onto slave ships destined for Americas. Historians have a good record where these went across Atlantic, but little is known about individuals or enslaved \textit{within} Africa. In this work, we develop novel two-step statistical approach describe given documented violent conflict, transport peoples their location capture port departure, and---given individual's departure---that person's probability origin. We combine spatial prediction conflict density Kriging with Markov decision process characterising intra-African transportation. The results model can be visualised using interactive web application, plotting conditional probabilities historical migrations African diaspora. These help trace uncertain origins region Africa time period: methodology developed here provides probabilistic answer question.

参考文章(24)
W. N. Venables, B. D. Ripley, Modern Applied Statistics with S Springer. ,(2010) , 10.1007/978-0-387-21706-2
G. UGO NWOKEJI, DAVID ELTIS, CHARACTERISTICS OF CAPTIVES LEAVING THE CAMEROONS FOR THE AMERICAS, 1822–37 The Journal of African History. ,vol. 43, pp. 191- 210 ,(2002) , 10.1017/S0021853701008076
George R. Terrell, David W. Scott, Variable Kernel Density Estimation Annals of Statistics. ,vol. 20, pp. 1236- 1265 ,(1992) , 10.1214/AOS/1176348768
Ola Olsson, Eyerusalem Siba, Ethnic cleansing or resource struggle in Darfur? An empirical analysis Journal of Development Economics. ,vol. 103, pp. 299- 312 ,(2013) , 10.1016/J.JDEVECO.2013.02.004
E. James Nelson, Norman L. Jones, A. Woodruff Miller, Algorithm for Precise Drainage-Basin Delineation Journal of Hydraulic Engineering. ,vol. 120, pp. 298- 312 ,(1994) , 10.1061/(ASCE)0733-9429(1994)120:3(298)
Katarzyna Bryc, Eric Y. Durand, J. Michael Macpherson, David Reich, Joanna L. Mountain, The Genetic Ancestry of African Americans, Latinos, and European Americans across the United States American Journal of Human Genetics. ,vol. 96, pp. 37- 53 ,(2015) , 10.1016/J.AJHG.2014.11.010
Maarten H. D. Larmuseau, Andrea Vessi, Mark A. Jobling, Anneleen Van Geystelen, Giuseppina Primativo, Gianfranco Biondi, Cristina Martínez-Labarga, Claudio Ottoni, Ronny Decorte, Olga Rickards, The Paternal Landscape along the Bight of Benin – Testing Regional Representativeness of West-African Population Samples Using Y-Chromosomal Markers PLOS ONE. ,vol. 10, pp. e0141510- ,(2015) , 10.1371/JOURNAL.PONE.0141510