SCIE5500 - Scientific Modelling - Modelling Population - Ecological Population - Assessment Answer

SCIE5500 - Scientific Modelling - Modelling Population - Ecological Population - Assessment Answer, 

Assessment Task:

Part 1: Population Dynamics and Competition
Get the excel spreadsheet ‘intro to ecology modelling lab. from LMS, save it on your home drive and/or your own thumb drive, and open it up. You should see two columns of numbers, headed ‘time’ and ‘population density’. While the ideas of modelling population dynamics will be very similar for many different species and situations, for this exercise we can assume that we are modelling the density of a species of mouse, that the time step is in months, and the density is the number of individuals per square kilometre. For other species, we might use different spatial and temporal scales. The number in cell B6 is the initial population density. Create a plot of time against density, so you can see how density is changing over time.

*What happens if the initial population density is equal to the equilibrium population density? Population density stays the same.
*What happens now if you increase the ‘reproduction rate’ parameter? Increases from its initial value and then stabilizes.
*What happens now if you decrease the ‘reproduction rate’ parameter? Increases from its initial value and then stabilizes.

If the population was twice as big on a given day, and the amount of food was the same, what would happen to the amount of food eaten, according to this equation (note that this question is just checking to see if you understand the equation above – you don’t actually need to run or plot anything) ?

If the population was twice as big, and the amount of food was also twice as big, what would happen to the amount of food eaten, according to this equation?

Part 2: Population Dynamics and Chaos
Ok, now let’s make things really simple again. We are now considering the population density of a kind of fly. Our time step will be a month. The fly is living in an environment where food is supplied at a constant rate. This means that if the population density of the fly is low, then its population will increase. At higher densities, the growth rate slows, and if it gets too high, then it will run out of food, and crash. The higher it is, the lower it will crash.

Change the growth rate to 1.5 and run the simulation. What happens now? Increases smoothly to an equilibrium population density.
The long term behaviour is tending towards a non-zero equilibrium.

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