Population growth and food shortages

Two main theories arose in this aspect: 


MALTHUS (who says that the population is growing geometrically while the food supply increases aritmethically, which lead in the fact that it will be a moment in which population will pass the amount of food available, causing the disappearance of extra-individuals) (very related with a J-curve)


vs 




BOSERUP (states that while the population keeps growing it will develop the technology needed to meed the food demand.) (it can be seen as a extension strategy of marketing, in order to keep population "in the market" :D) 


It is important to emphasize that in those cases, the food supply acts as the caring capacity of the population.