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Metapopulation Dynamics -Levins Model




User Instructions:

The simulator consists of four regions, Variable window, Simulation control buttons, 'Viewable Window' buttons and Result display window.

Variable window:

The drop down menu in this window allows simulate Levins model or Metapopulation stability.




In Levins model the student can access the variables in the model through this window. Parameters include (h) total number of patches present in the habitat, (c) rate at which occupied patch produce colonies, (p0) Initial number of occupied patches, (e) rate at which an occupied patch goes extinct, (t) number of steps.


Student can access the variables in the model (Metapopualtion stability) through this window. Parameters include (n0) the initial size of the populations, (I) the degree to which the environments of the two subpopulations vary with regards to each other, (d) dispersal, probability that the individual disperse from its sub population, (rgood) the population growth rate in good years, (rbad) the population growth rate in bad years, (runlen) the number of time steps.



Simulation control buttons:

From the next button onwards are the tools for 'Simulation Control':


 'Step run' button is meant for manually running the simulator, step by step. For example, if the population in every 0.1year is to be calculated, in each Step run, the population's possible change for every 0.1 year is calculated and produced.

 'Run Iterations', as the literal word meaning runs the simulator slowly, step by step with the same previously entered values repeatedly till the T time. It can also be paused in between to get the values at the corresponding desired time.

'Pause' button as in all cases is for pausing (and continuing) the simulator at any step needed while performing Iterations (slowly, repeatedly calculating the population possible in each step).

The 'Reset' button resets the simulator to the default values.


The 'Viewable Window' has some additional buttons meant for various other purposes,

The 'Statistics' button is meant for viewing the time varying change in population step by step for the entered values in the simulator. The next is the 'Data plots' button having a graph symbol, on clicking will change the 'Viewable Window' to a graphical plot.


  The result window shows the Statistics and graphical interpertation of data.



Step by Step Explanation:

Step 1: Open the simulator and select Levins model form the drop down menu in variables.

Step 2: Enter values for parameters in Variable window.

Step 3: The simulator will start running (press Run button) a give the output depending on the input.


Step 4: After the population count is over, click data plots to get the graphical data.


For Levins model:



For Metapopulation stability :





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