Question: Why did the population increase in Britain so rapidly each 50 years?
About the article "Industrial Revolution", section "Population increase".

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According to the latest census of 2011 it has a population of 217 residents.
The population has increased from the 2001 census, when the population was 192.
This population graph shows an overall increase over 130 years from 1881-2011 in terms of the number of residents that have moved into the village of Edstone.
However, the most noticeable difference being within a 50 year time period, from 1961 where the population rapidly increased from 113 residents to 217 residents in 2011 (Census data) an overall increase of 105 inhabitants.
Although, prior to the 1961 population of Edstone, the general trend saw the population decrease by 89 residents from 1821 to 1921. 
"According to the latest census of 2011 it has a population of 267 residents".
This population graph shows an overall increase over 130 years from 1881-2011 in terms of the number of residents that have moved into the village of Stainburn.
However, the most noticeable difference being within a 50 year time period, from 1961 where the population rapidly increased from 122 residents to 267 residents in 2011 (Census data) an overall increase of 145 inhabitants.
Although, prior to the 1961 population of Stainburn, the general trend saw the population decrease by 52 residents from 1881 to 1961.
"According to the 1901 Census data for the County of York, the Ecclesiastical Parish of Stainburn was formed in 1871 with 29 inhabited houses"   
The population of Braunton, according to the census of 1801, was 1,296.
This number increased quite rapidly in the thirty years to 1831, to 2,047 however the rate of increase slowed during the next 10 years and coinciding with the arrival of the railway fell from 2,364 in 1851 to 2,089 in 1881.
Population growth resumed and saw almost a doubling between 1961 and 2011, to 8,128 people.
Data for 1801–1961 is available at Britain Through Time.
The 2001 and 2011 Censuses give detailed information about the village.
The settlement's population in 2011 were living in 3,552 households. 
With the mortality rate so high and the birth rate so low among Jamaican slaves, white plantations depended on the continued importation of slaves from Africa with one-third of all slaves brought to the New World in British carriers ending up in Jamaica.
Such was the death rate that 500,000 slaves had to be imported in order to increase the island's slave population by 250,000.
The mortality rate for whites in Jamaica was nearly as severe with over one-third dying within the first three years of arriving, usually from tropical disease.
That said, if a white male immigrant could stay alive as Thistlewood did, then he could prosper far more than his white counterparts in Britain and its colonies. 
In the 1730s and 1740s he began taking notes on population growth, finding that the American population had the fastest growth rates on earth.
Emphasizing that population growth depended on food supplies—a line of thought later developed by Thomas Malthus—Franklin emphasized the abundance of food and available farmland in America.
He calculated that America's population was doubling every twenty years and would surpass that of England in a century.
In 1751, he drafted "Observations concerning the Increase of Mankind, Peopling of Countries, &c." Four years later, it was anonymously printed in Boston, and it was quickly reproduced in Britain, where it influenced economists Adam Smith and later Thomas Malthus.
Franklin's predictions also alarmed British leaders who did not want to be surpassed by the colonies, so they became more willing to impose restrictions on the colonial economy.