The relationship between predator and prey populations has been studied by computer simulation using equations which form part of a mathematical model devised by Lotka and Volterra. The data in Table 6.10 show the results of such a simulation when the prey population begins with 20 individuals and the predator population begins with six individuals.  1.Explain why the peaks in the predator population occur after those in the prey population. 2. This simulation assumes one prey species and one predator species in an imaginary ecosystem and is based on mathematical equations. Why is it likely to be too simplistic to describe accurately what happens in nature?

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The relationship between predator and prey populations has been studied by computer simulation using equations which form part of a mathematical model devised by Lotka and Volterra. The data in Table 6.10 show the results of such a simulation when the prey population begins with 20 individuals and the predator population begins with six individuals. 

1.Explain why the peaks in the predator population occur after those in the prey population.

2. This simulation assumes one prey species and one predator species in an imaginary ecosystem and is based on mathematical equations. Why is it likely to be too simplistic to describe accurately what happens in nature?

 

Table 6.10 The results of a simulation of the relationship
50
48
46
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8.
between predator and prey numbers in hypothetical
populations
Time 1
(arbitrary units)
Prey numbers
Predator numbers
20
6
1
28
6
2
38
8
3
46
11
4
39
15
5
21
14
14
10
7
13
8
8
16
6.
Prey numbers
9
21
6.
10
30
7
Predator numbers
11
40
12
46
12
13
36
15
14
19
13
15
13
10
16
13
8
17
17
6
4
2
18
23
6.
19
32
7
20
42
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
21
46
13
Time 1 (arbitrary units)
22
33
15
23
17
12
24
13
9
Number of Prey/ Predator
Transcribed Image Text:Table 6.10 The results of a simulation of the relationship 50 48 46 44 42 40 38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8. between predator and prey numbers in hypothetical populations Time 1 (arbitrary units) Prey numbers Predator numbers 20 6 1 28 6 2 38 8 3 46 11 4 39 15 5 21 14 14 10 7 13 8 8 16 6. Prey numbers 9 21 6. 10 30 7 Predator numbers 11 40 12 46 12 13 36 15 14 19 13 15 13 10 16 13 8 17 17 6 4 2 18 23 6. 19 32 7 20 42 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 21 46 13 Time 1 (arbitrary units) 22 33 15 23 17 12 24 13 9 Number of Prey/ Predator
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