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NAZ NAZ
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14 years ago
5. The carrying capacity for a population of butterflies is estimated at 600; the population size is currently 300; and  rmax is 0.3. What is dN/dt?
a.   45
b.   90
c.   8
d.   0.3
e.   100

6. You collect data on birth and mortality in three populations of grasshoppers, and you calculate the following birth and death rates for these populations. Both populations are experiencing exponential growth:

                           b           d
  Population A    0.90   0.80
  Population B    0.45   0.35
 Population C    0.15    0.05


Indicate if the following statements true or false (circle your answer) and briefly justify your answer?

a. Population A is growing at the fastest rate.            True      False
                                       
b. Population C has the lowest death rate.            True      False
                                       
c. Population C is growing at the slowest rate.            True      False
                                       
d. All populations are growing at the same rate.            True      False
                                       

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wrote...
Staff Member
14 years ago
5. it is A.

dN/dt = rN *(K-N)/K
= 0.3*300 (600 - 300)/600
=90(0.5)
=45

6. Are the following statements true or false (circle one for each question):
a.   Population A is growing at the fastest rate     True   False  
b.   Population C has the lowest death rate      True   False
c.   Population C is growing at the lowest rate   True   False
d.   All populations are growing at the same rate   True   False
- Master of Science in Biology
- Bachelor of Science
NAZ Author
wrote...
14 years ago
thank you dear but may you explain why because it wants me to justify  my answers
wrote...
14 years ago
They are all growing at the same rate because the difference between the birth rate and death rate is the same for each population.
wrote...
13 years ago
 II. A pair of rats was inadvertently introduced to an island that is the site of a large seabird colony. In 15 years the population grew to 303.
       r=0.3347

c. The seabirds on the colony are thought to mostly follow a logistic population model (tracking breeding females) with a maximum per capita growth of 0.8, a carrying capacity of 100 females. In addition, Allele effects are suspected to make populations below 20 breeding females unviable. One way to represent this is to multiply the logistic equation (dN/dt=...) by an additional term (N/A – 1). Develop a spreadsheet of this model, presenting: i) a graph of dN/dt on N, ii) identifying the value of A that allows the model to follow the behaviour of the conceptual model, and iii) and explaining how the new term functions in the quantitative model .
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