Convert to polar coordinates with 
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Definitions:
Emigration
The movement of individuals out of a population. Compare with immigration.
Offspring
A new life form created through the reproductive process, originating from one or more progenitors.
Independently
Acting or capable of acting without dependence on others; self-sufficiently.
Density-independent Factors
Environmental factors that affect the size of a population regardless of the population density, such as weather and natural disasters.
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