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It can if your population increases faster than your GDP. Imagine if you have a 6% growth in GDP but a 10% growth in population => a reduction of 4% in GDP per capita.
growth in population
I think you mean "Gross National Product per Capita". That statistic is no longer used, and instead economists use the "Gross Domestic Product per Capita" nowadays. Mexico's GDP for 2010 was of US$1567 billion; GDP per Capita was of approximately US$13,900 and its real growth rate was of 5.5%.
An example of a real world rate is 45630.19106 debt per capita (person).
the real GDP per capita
Per Capita Real GDP
Growth of real GDP per Capita
Average per capita income is income per head of a country i.e. real GDP/Population .
Because rulers are too short
Africa
A real "growth" of -0.0019%, approx.
The intrinsic growth rate of a population is the maximal rate at which the populatiom would grow under ideal conditions (i.e., unlimited resources, no competition, no predation, and no envionmental stress). In all real situations however, the population growth rate is kept in check by extrinsic factors.