Characteristics of Demographic Simulation

CONTENTS

  1. Basics:
  2. The logic of the simulation
  3. Data available for the simulation
  4. Glossary
  5. Bibliography

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BASICS: Population pyramids, rates of birth, death and migration

Population pyramids show the size, age and sex distribution of populations

Births - infants are added at the bottom of the pyramid

Deaths - people are removed at all levels of the pyramid, especially at the bottom and top

Migration - people are removed at all levels of some populations (especially young adults), and added into other populations

Expectation of life at birth (same as average age at death) - reflected in the proportion of old to young persons.

THE LOGIC OF THE SIMULATION:

1. A MODEL OF FORCED MIGRATION.

The figure below shows a simplified version of the demographic logic of enslavement and slave trade. At the beginning of each period, we assume the existence of discrete groups known as Source and Captor populations. The Captors enslave some people from the Source population each year. In addition, we assume there are groups who were enslaved earlier: the Domestic slaves (in Africa) and the Export slaves (in the Americas).
The people taken from the Source population each year are known as Captives. The term "captives refers to persons in the high-mortality period of the first year following their enslavement, after which they become "slaves." Captives undergo an initial mortality, and are then divided into those retained for local use as Domestic slaves, and those intended for export from the region. The latter group undergoes an additional mortality (corresponding to the Middle Passage). In the meantime, all of these populations experience normal births and deaths. At the end of each cycle of enslavement, the surviving Captives are added into the Domestic and Export slave populations, and the next cycle of enslavement begins.

The Simulation Model in Schematic Form

2. THE SIMULATION. The simulation consists of a computerized implementation of the qualitative model summarized above. This simulation of the demography of African migration through slave trade and slavery enables the user to project the effects of various conditions on the size and composition of the populations involved. The procedure relies on standard demographic techniques: it approximates a continuous analysis of population change by dividing the populations into five-year age groups and assuming that all events take place at the midpoint of five-year periods.

As initial conditions, the simulation assume the discrete groups known as Source and Captor populations. Members of the Source population are enslaved: a given percentage of each age and sex group becomes captive each year. Captives undergo an intial mortality, and are then divided into those retained for local use as slaves, and those intended for export from the region, who then experience an additional mortality as they are sent overseas. For each of these steps, the simulation accounts for the age and sex distribution of events. The simulation keeps track of Source and Captor populations, Domestic and Export slave populations, the number of captives each year, and the number of births and deaths for each group. The user may select varying input data files and three run parameters, as follows:

  • Source and Captor populations: fertility and mortality rates, and intrinsic net growth rates
  • Captive population: size, age, and sex composition, and mortality rates
  • Domestic and Export slave population: fertility and mortality rates, and intrinsic net growth rates
  • Length of simulation (default is 40 years)
  • Frequency of enslavement: annually, five years on and five years off, etc.

You may run the simulation with the default data files. These data have been selected to estimate the average overall impact of the Atlantic slave trade in the late eighteenth century. The user may select alternative input data in one of two days. New users are encouraged to select data by packaged sets of data files, each of which is labelled by its main difference from the default or average data. More experienced users may with to select data by individual data files, enabling you to select precisely the input data you wish.

3. MAKING HISTORICAL PROJECTIONS. Relating the simulation to history requires some additional steps. The populations in the simulation are of arbitrary size (100 for Source and 33 for Captor populations, initially). The work of scaling these simulated populations to fit with estimates of historical African populations involves several further steps (see Bibliography). But you may use your intuition and some rough estimates for a start. The number of Africans crossing the Atlantic each year was 60-80,000 during the late eighteenth century, and the population of the region of West and Central Africa from which they came was probably between 20 and 25 million.

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