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Fig. 3 | Agriculture & Food Security

Fig. 3

From: The effect of acute and chronic food shortage on human population equilibrium in a subsistence setting

Fig. 3

In each graph below, all of the model parameters are fixed besides the food production resilience parameter, b. We set \(b = 100\) for the blue lines and \(b = 0.1\) for the orange lines. Due to the contrast in duration of the starvation periods observed in b and c, we classify the blue line as a chronic famine and the orange line as an acute famine. a We plot the difference in equilibria for each of the parameter sets. Notice larger values of b allow for equilibria with greater excess food and human population values. b Here, we observe that given the same initial shortage of food, the acute case recovers to a stable equilibrium within 3 seasons while the chronic case requires approximately 20 seasons to recover to an equilibrium. c The acute case suffers a loss of only about 0.1 or \(10\%\) of the initial population while the chronic famine endures a steady decline in population with a total of 0.8 or \(80\%\) of the initial population lost

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