2. A quantitative genetics determined the following variance components in a population of crabs found in the Gulf Coast. a. Additive genetic variance Dominance genetic variance Interaction genetic variance Environmental variance Leg length 3.4 1.7 0.6 2.4 Genetic-environmental variance 0 Body weight 2.7 1.6 0.8 3.7 0 Calculate the broad-sense heritability and the narrow-sense heritability for each trait in this population,
2. A quantitative genetics determined the following variance components in a population of crabs found in the Gulf Coast. a. Additive genetic variance Dominance genetic variance Interaction genetic variance Environmental variance Leg length 3.4 1.7 0.6 2.4 Genetic-environmental variance 0 Body weight 2.7 1.6 0.8 3.7 0 Calculate the broad-sense heritability and the narrow-sense heritability for each trait in this population,
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Genetic Variation
Genetic variation refers to the variation in the genome sequences between individual organisms of a species. Individual differences or population differences can both be referred to as genetic variations. It is primarily caused by mutation, but other factors such as genetic drift and sexual reproduction also play a major role.
Quantitative Genetics
Quantitative genetics is the part of genetics that deals with the continuous trait, where the expression of various genes influences the phenotypes. Thus genes are expressed together to produce a trait with continuous variability. This is unlike the classical traits or qualitative traits, where each trait is controlled by the expression of a single or very few genes to produce a discontinuous variation.
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Can someone please help me with this so I can double check my work and make sure I did it correctly? Struggling with part b.
![### Quantitative Genetics and Variance Components in Crabs
A quantitative genetics study determined the following variance components in a population of crabs found in the Gulf Coast.
| Variance Component | Leg Length | Body Weight |
|-------------------------------|------------|-------------|
| Additive genetic variance | 3.4 | 2.7 |
| Dominance genetic variance | 1.7 | 1.6 |
| Interaction genetic variance | 0.6 | 0.8 |
| Environmental variance | 2.4 | 3.7 |
| Genetic-environmental variance| 0 | 0 |
#### Questions:
a. **Calculate the broad-sense heritability and the narrow-sense heritability for each trait in this population.**
b. **Which trait would you expect to respond the best to selection? Why?**
### Explanation of Concepts
- **Additive Genetic Variance**: This refers to the genetic variance that can be attributed to the sum of the effects of individual alleles.
- **Dominance Genetic Variance**: This is the variance due to interactions between alleles at the same locus.
- **Interaction Genetic Variance**: Also known as epistatic variance, it's the variance due to interactions between different loci.
- **Environmental Variance**: This is the variance caused by differences in the environment.
- **Genetic-Environmental Variance**: This represents variance due to the interaction between genetic and environmental factors.
### Calculations
- **Broad-sense Heritability (H²)**:
\[ H² = \frac{{\text{Total Genetic Variance}}}{{\text{Total Phenotypic Variance}}} \]
- **Narrow-sense Heritability (h²)**:
\[ h² = \frac{{\text{Additive Genetic Variance}}}{{\text{Total Phenotypic Variance}}} \]
### Analysis
To determine which trait would respond best to selection, consider the narrow-sense heritability (h²), as it reflects the proportion of phenotypic variance that is attributable to additive genetic factors, which are directly related to response to selection.
---
This structure allows users to understand both the theoretical background and practical application of genetic variance in crab populations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13664e16-d206-41a4-8e0b-224e2958f674%2F2b687334-1752-4274-a16c-c9ad5835235c%2F8y6fb5s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Quantitative Genetics and Variance Components in Crabs
A quantitative genetics study determined the following variance components in a population of crabs found in the Gulf Coast.
| Variance Component | Leg Length | Body Weight |
|-------------------------------|------------|-------------|
| Additive genetic variance | 3.4 | 2.7 |
| Dominance genetic variance | 1.7 | 1.6 |
| Interaction genetic variance | 0.6 | 0.8 |
| Environmental variance | 2.4 | 3.7 |
| Genetic-environmental variance| 0 | 0 |
#### Questions:
a. **Calculate the broad-sense heritability and the narrow-sense heritability for each trait in this population.**
b. **Which trait would you expect to respond the best to selection? Why?**
### Explanation of Concepts
- **Additive Genetic Variance**: This refers to the genetic variance that can be attributed to the sum of the effects of individual alleles.
- **Dominance Genetic Variance**: This is the variance due to interactions between alleles at the same locus.
- **Interaction Genetic Variance**: Also known as epistatic variance, it's the variance due to interactions between different loci.
- **Environmental Variance**: This is the variance caused by differences in the environment.
- **Genetic-Environmental Variance**: This represents variance due to the interaction between genetic and environmental factors.
### Calculations
- **Broad-sense Heritability (H²)**:
\[ H² = \frac{{\text{Total Genetic Variance}}}{{\text{Total Phenotypic Variance}}} \]
- **Narrow-sense Heritability (h²)**:
\[ h² = \frac{{\text{Additive Genetic Variance}}}{{\text{Total Phenotypic Variance}}} \]
### Analysis
To determine which trait would respond best to selection, consider the narrow-sense heritability (h²), as it reflects the proportion of phenotypic variance that is attributable to additive genetic factors, which are directly related to response to selection.
---
This structure allows users to understand both the theoretical background and practical application of genetic variance in crab populations.
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