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The British vicar's theory was that population growth was exponential but agricultural growth was arithmetic, so that any sharp rise in population would lead to starvation and thus be self-correcting.
The district experienced a sharp rise in population, from 6,217 in 1911 to 72,791 in 1961, caused by the extension of the Metropolitan Railway, termed Metro-land, which brought with it an increase in suburban house building.
Within-cluster diversity reaches a minimum for values of μ immediately preceding the sharp rise in population size and number of clusters.
Rather, contingent behavior occurs for the intermediate values of μ over which sharp changes in the system's behavior are observed: a sharp rise in population size and number of clusters, and a sharp drop in population-cluster correlation.
As illustrated in Figures 3a, 4a, 5a and 6a, we observe a low mean population size for low values of μ, a sharp rise in population size for intermediate values of μ, and a plateau in the population size for high values of μ.
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But a sharp rise in the islands' population, and the arrival of logging and plantation firms, have made the situation much worse in recent decades.
The problems of public injection have been compounded in recent years by the sharp rise in the homeless population, particularly in New York City, and the surge in heroin use across the northeastern U.S., including in New York state.
This, coupled with a substantial increase in people moving into the area, has led to a sharp rise in the resident population since 2001.
Several papers, noting the sharp rise in Britain's Polish population, now estimated at a half million, sent reporters to speak to Poles and ask them about their job prospects, their plans and what they think of Britain.
This sudden, sharp rise in the city's population caused a large demand for housing development, and many previously outlying villages and forests became engulfed into the metropolitan area of Istanbul.
Since World War II there has been a sharp rise in the proportion of the population that has received some kind of higher education.
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