Table of contents

1. Introduction to Biology2h 42m
2. Chemistry3h 37m
3. Water1h 26m
4. Biomolecules2h 23m
5. Cell Components2h 26m
6. The Membrane2h 31m
7. Energy and Metabolism2h 0m
8. Respiration2h 40m
9. Photosynthesis2h 49m
10. Cell Signaling59m
11. Cell Division2h 47m
12. Meiosis2h 0m
13. Mendelian Genetics4h 44m
14. DNA Synthesis2h 27m
15. Gene Expression3h 6m
16. Regulation of Expression3h 31m
17. Viruses37m
- Viruses
  37m
18. Biotechnology2h 58m
19. Genomics17m
- Genomes
  17m
20. Development1h 5m
21. Evolution3h 1m
22. Evolution of Populations3h 53m
23. Speciation1h 37m
24. History of Life on Earth2h 6m
25. Phylogeny2h 31m
26. Prokaryotes4h 59m
27. Protists1h 12m
28. Plants1h 22m
29. Fungi36m
- Fungi
  19m
- Fungi Reproduction
  17m
30. Overview of Animals34m
- Overview of Animals
  34m
31. Invertebrates1h 2m
32. Vertebrates50m
33. Plant Anatomy1h 3m
34. Vascular Plant Transport1h 2m
- Water Potential
  1h 2m
35. Soil37m
- Soil and Nutrients
  20m
- Nitrogen Fixation
  16m
36. Plant Reproduction47m
- Flowers
  33m
- Seeds
  14m
37. Plant Sensation and Response1h 9m
38. Animal Form and Function1h 19m
39. Digestive System1h 10m
- Digestion
  1h 3m
- Blood Sugar Homeostasis
  7m
40. Circulatory System1h 49m
41. Immune System1h 12m
42. Osmoregulation and Excretion50m
- Osmoregulation and Excretion
  50m
43. Endocrine System1h 4m
- Endocrine System
  1h 4m
44. Animal Reproduction1h 2m
- Animal Reproduction
  1h 2m
45. Nervous System1h 55m
- Neurons and Action Potentials
  1h 8m
- Central and Peripheral Nervous System
  46m
46. Sensory Systems46m
- Sensory System
  46m
47. Muscle Systems23m
- Musculoskeletal System
  23m
48. Ecology3h 11m
49. Animal Behavior28m
- Animal Behavior
  28m
50. Population Ecology3h 41m
51. Community Ecology2h 46m
52. Ecosystems2h 36m
53. Conservation Biology24m
- Conservation Biology
  24m

49. Animal Behavior

Animal Behavior

General Biology

49. Animal Behavior

Animal Behavior

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2:36 minutes

Problem 8

Textbook Question

Hamilton's rule states that an altruistic allele could spread in a population if Br > C, where B represents the fitness benefit to the recipient, r is the coefficient of relatedness between altruist and recipient, and C represents the fitness cost to the altruist. If r = 0.5 between the altruist and the recipient, what would the ratio of costs to benefits have to be for the altruistic allele to spread?
a. C/ B > 0.5
b. C/ B > 0
c. C/ B < 0.5
d. C/ B < 0

Verified step by step guidance

Understand Hamilton's rule: Br > C, where B is the benefit to the recipient, r is the coefficient of relatedness, and C is the cost to the altruist.

Substitute the given value of r into the inequality: 0.5B > C.

Rearrange the inequality to express the cost-to-benefit ratio: C/B < 0.5.

Interpret the inequality: For the altruistic allele to spread, the cost-to-benefit ratio (C/B) must be less than 0.5.

Compare the options provided with the derived inequality to determine the correct answer.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Hamilton's Rule

Hamilton's Rule is a principle in evolutionary biology that predicts when an altruistic behavior will spread in a population. It states that an altruistic allele can increase in frequency if the genetic relatedness (r) between the altruist and the recipient, multiplied by the benefit to the recipient (B), is greater than the cost to the altruist (C). Mathematically, this is expressed as Br > C.

Coefficient of Relatedness (r)

The coefficient of relatedness (r) is a measure of genetic similarity between two individuals. It quantifies the probability that a gene in one individual is identical by descent to a gene in another individual. For example, siblings have an r value of 0.5, meaning they share 50% of their genes, which is crucial in determining the likelihood of altruistic behavior according to Hamilton's Rule.

Cost-Benefit Ratio in Altruism

The cost-benefit ratio in altruism refers to the relationship between the fitness cost to the altruist (C) and the fitness benefit to the recipient (B). For an altruistic allele to spread, the ratio C/B must be less than the coefficient of relatedness (r). In the given question, with r = 0.5, the condition for the allele to spread is C/B < 0.5, making option c the correct answer.

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