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Chapter 36: Problem 59

Explain how rmax would be expected to differ for an elephant and a flea, and how that changes the time scale over which populations of these two animals would be studied. a. rmax would be greater for an elephant as elephant reproduces at a faster rate than flea. A shorter time scale would be used to study changes over several elephant generations. b. rmax would be greater for a flea as flea reproduces at a faster rate than elephant. A shorter time scale would be used to study changes over several flea generations than over several elephant generations. c. rmax would be greater for a flea as flea reproduces at a faster rate than elephant. A longer time scale would be used to study changes over several flea generations than over several elephant generations. d. rmax would be greater for an elephant as the elephants grow at an exponential rate so the population growth rate is greatly increased. A shorter time scale would be used to study changes over several elephant generations.

Short Answer

Expert verified
Option (b) is correct: rmax is greater for fleas, shorter time scales for studying flea populations.

Step by step solution

01

Understanding rmax

rmax refers to the intrinsic rate of increase of a population, which means the maximum growth rate of a population under ideal conditions.
02

- Compare Reproduction Rates

A flea reproduces much faster than an elephant. Fleas can lay thousands of eggs in a short time, while elephants have much longer gestation periods and give birth to one calf at a time.
03

- rmax for Fleas and Elephants

Due to the higher reproduction rate, the rmax (intrinsic rate of increase) will be greater for fleas as compared to elephants. Fleas have a higher potential for population growth under ideal conditions.
04

- Time Scale for Population Studies

Since fleas reproduce so quickly, studying their population changes can be done over shorter time scales. In contrast, elephants reproduce more slowly, requiring longer time scales to observe significant changes in their population.
05

Conclusion

The correct option is the one that states rmax would be greater for a flea and that a shorter time scale is used for studying changes in flea populations.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Intrinsic Rate of Increase
The intrinsic rate of increase, denoted as \(r_{max}\), represents the maximum rate at which a population can grow when no limitations are placed on its environment. This value is crucial because it tells us how many individuals a population can add per unit time under ideal conditions. For instance, fleas, due to their rapid reproduction, have a much higher \(r_{max}\) compared to elephants. Elephants reproduce slowly, giving birth to one calf every few years, which translates to a lower intrinsic rate of increase. By understanding \(r_{max}\), biologists can predict how quickly different populations can grow and how they might respond to changes in environmental conditions.
Reproduction Rates
Reproduction rates are pivotal for determining how a species' population changes over time. Fleas exemplify high reproduction rates where a single flea can lay thousands of eggs within its short life span. This rapid reproduction leads to exponential population growth in a short period, contributing to a high \(r_{max}\). In contrast, elephants have a much slower reproductive cycle. They have long gestation periods of up to 22 months and usually give birth to one calf at a time. These slow reproduction rates result in much lower population growth rates. Rapid reproducers like fleas can quickly adapt and increase in number, whereas slow reproducers like elephants need more time to show population changes.
Time Scale for Population Studies
The time scale for population studies varies greatly between species based on their reproductive rates and growth potential. For fleas, given their rapid reproduction cycle, population changes can be monitored over short periods. Researchers might observe significant population trends within days or weeks. Conversely, elephants require much longer observation periods 鈥� often spanning decades 鈥� to notice population changes. This is due to their slow reproduction and long life span. Therefore, quicker reproducers necessitate shorter study periods to gather meaningful data, while larger, slower reproducers need extended study periods to understand their population dynamics fully.

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Most popular questions from this chapter

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