Discrete-generation density dependence model

Discrete-generation density dependence model - In short,...

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a= b= R= 0.1 3 3 t N 1 1 2 3 3 8.76 4 15.72 5 9.66 6 15.24 7 10.07 8 14.95 9 10.33 10 14.74 11 10.52 12 14.58 13 10.67 14 14.45 15 10.79 16 14.35 17 10.89 18 14.26 19 10.97 20 14.18 21 11.04 22 14.12 23 11.1 24 14.06 25 11.16 26 14.01 27 11.21 28 13.96 29 11.25 30 13.92 31 11.29 32 13.88 33 11.33 34 13.85 35 11.37 36 13.82 37 11.4 This spreadsheet graphs N vs. t for the discrete-generation density-dependence model given in lecture. The mod Note that as N gets bigger, the denominator gets bigger, retarding population growth. The strength of the retardin and b. Increasing either one increases the strength of the density dependence. You can plug in different values dependence parameters a and b. Just type new values into the yellow-highlighted cells below the labels "a=," "b= will reflect the new parameters. The main take-home message is that stronger d-d can lead to violent fluctuations logistic model, in which populations always make a gradual approach to the carrying capacity).
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Unformatted text preview: In short, density d orderly, equilibrial population regulation, but it does not NECESSARILY do so. Note: because this model is a ste should not be there, technically. The graph should look like a staircase of alternating vertical and horizintal segm produce such a plot. 1 2 3 4 5 6 7 8 9 10 11 12 2 4 6 8 10 12 14 16 18 b t t t a N R N N ) ( 1 1 + = + 38 13.79 39 11.43 40 13.76 41 11.45 42 13.73 43 11.48 44 13.71 45 11.5 46 13.68 del equation is given beneath the graph. ing force is determined by the constants a for the growth rate R or the two density-=," or "R=," then hit <enter>, and the graph s and effective extinctions (unlike the simpler dependence CAN SOMETIMES lead to ep function, the lines connecting the points ents, but Excel doesn't make it easy to 13 14 15 16 17 18 19 20 21...
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This note was uploaded on 11/24/2010 for the course BIO BIO150Y1Y taught by Professor Barret,thomson during the Spring '07 term at University of Toronto- Toronto.

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Discrete-generation density dependence model - In short,...

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