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Chapter 53: Q2TYU (page 1188)

A population鈥檚 carrying capacity

(A) may change as environmental conditions change.

(B) can be accurately calculated using the logistic growth model.

(C) increases as the per capita population growth rate decreases.

(D) can never be exceeded.

Short Answer

Expert verified
  1. The statement 鈥渕ay change as environmental conditions change鈥� is true.
  2. The statement 鈥渃an be accurately calculated using the logistic growth model鈥� is false.
  3. The statement 鈥渋ncreases as the per capita population growth rate decreases鈥� is false.
  4. The statement 鈥渃an never be exceeded鈥� is false.

Step by step solution

01

Demography

In ecology, the scientific study that statistically and systematically analyzes population like human beings and changes in population size is called demography.

02

Explanation of option ‘(A)’

The field of ecology describes the environment as the surrounding and external conditions like resources and stimuli affecting the living organism living in it.

Thus, the population鈥檚 carrying capacity changes based on the food and space availability in an environment.

Therefore, the given statement is true.

03

Explanation of option ‘(B)’

The logistic growth model represents the limited resources due to environmental resistance that restricts population growth.

Thus, the logistic growth model does not provide an accurate calculation of carrying capacity.

Therefore, the given statement is false.

04

Explanation of option ‘(C)’

When the individual numbers change within a population over a specified time, it is called the population growth rate.

Thus, the carrying capacity becomes steady when there is a decrease in the per-capita population growth rate.

Therefore, the given statement is false.

05

Explanation of option ‘(D)’

When species live in an area, then their average size is determined by the population carrying capacity.

Thus, the population carrying capacity will exceed due to the availability of too many resources.

Therefore, the given statement is false.

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Most popular questions from this chapter

  1. Find the intervals of increase or decrease.
  2. Find the local maximum and minimum values.
  3. Find the intervals of concavity and the inflection points.
  4. Use the information from parts (a)-(c) to sketch the graph. You may want to check your work with a graphing calculator or computer.

46.\(f\left( x \right) = 36x + 3{x^2} - 2{x^3}\)

SYNTHESIZE YOUR KNOWLEDGE Locusts (grasshoppers in the family Acrididae) undergo cyclic population outbreaks, leading to massive swarms such as this one in the Canary Islands, off the west coast of Africa. Of the mechanisms of density-dependent regulation shown in Figure 53.18, choose the two that you think most apply to locust swarms, and explain why.

The graph of the derivative \(f'\) of a continuous function \(f\) is shown

  1. On what intervals is f increasing? Decreasing?
  2. At what values of \(x\) does f have a local maximum? Local minimum?
  3. On what intervals is f concave upward? Concave downward?
  4. State the \(x\)-coordinate(s) of the point(s) of inflection.
  5. Assuming that \(f\left( 0 \right) = 0\), sketch the graph of f.

43.

If ris doubled, predict how the population growth rates will change for the four population sizes given in question 1. Now calculate the population growth rate for the same four cases, this time assuming that r= 2.0 (and with Kstill = 1,500).

(a) Find the intervals of increase or decrease.

(b) Find the local maximum and minimum values.

(c) Find the intervals of concavity and the inflection points.

(d) Use the information from parts (a)鈥�(c) to sketch the graph.

You may want to check your work with a graphing calculator or computer.

57. \(f\left( \theta \right) = 2\cos \theta + {\cos ^2}\theta ,{\rm{ 0}} \le \theta \le 2\pi \)
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