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Dihybrid Crosses

Dihybrid Crosses

Hybrid Zones

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Hybrid zones are narrow regions where two closely related species interact, mate, and produce hybrids. Relative to either parent species, hybrids may possess distinct phenotypic or genetic differences that impact their survival and reproductive success. The genetic variances introduced by hybridization influence species diversity and speciation processes within the hybrid zone.Gene flow and natural selection are evolutionary mechanisms that shape the outcome of a hybrid zone. Gene flow...

Types of Selection

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Natural selection influences the frequencies of particular alleles and phenotypes within populations in several different ways. Primarily, natural selection can be directional, stabilizing, or disruptive. Directional selection favors one extreme trait and shifts the population towards that phenotype while selecting against individuals displaying alternate traits. Stabilizing selection favors an intermediate trait with a narrow range of variation. Deviation from the optimal phenotype towards an...

Hardy-Weinberg Principle

Hardy-Weinberg Principle

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Law of Independent Assortment

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While Mendel’s Law of Segregation states that the two alleles for one gene are separated into different gametes, a different question of how different genes are inherited remains. For example, is the gene for tall plants inherited with the gene for green peas? Mendel asked this question by experimenting with a dihybrid cross; a cross in which both parents are homozygous for two distinct traits resulting in an F1 generation that are heterozygous for both traits.

Law of Independent Assortment

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While Mendel’s Law of Segregation states that the two alleles for one gene are separated into different gametes, a different question of how different genes are inherited remains. For example, is the gene for tall plants inherited with the gene for green peas? Mendel asked this question by experimenting with a dihybrid cross; a cross in which both parents are homozygous for two distinct traits resulting in an F1 generation that are heterozygous for both traits.

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Heuristic Mining of Hierarchical Genotypes and Accessory Genome Loci in Bacterial Populations

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Linked selected and neutral loci in heterogeneous environments.

B P Wood¹, J R Miller

¹Department of Mathematics, Georgetown University, Washington, DC 20057, USA.

Journal of Mathematical Biology

|October 3, 2006

Summary

This study models haplotype frequencies in two populations with different selection pressures. With low migration, populations converge to stable equilibria, enabling accurate predictions of population structure and genotyping errors.

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Area of Science:

Population genetics
Mathematical biology
Evolutionary dynamics

Background:

Understanding genetic variation within and between populations is crucial for evolutionary studies.
Linked loci, one under selection and one neutral, can reveal complex population dynamics.
Divergent selection regimes in connected populations drive evolutionary trajectories.

Purpose of the Study:

To analyze haplotype frequency dynamics in a two-deme system with linked selected and neutral loci.
To investigate the impact of low migration rates on population equilibria and genetic structure.
To derive formulas for transient dynamics of F(ST) and genotyping error rates.

Main Methods:

Utilizing a system of ordinary differential equations to model haplotype frequencies.
Applying geometric singular perturbation theory to analyze the singularly perturbed system.
Deriving asymptotic expansions for solutions on finite time intervals.

Main Results:

Demonstrated that low migration rates lead to convergence to a one-dimensional continuum of equilibria.
Obtained formulas for the transient dynamics of F(ST) at both selected and neutral loci.
Quantified the rate of genotyping error when inferring allelic states.

Conclusions:

Low migration rates stabilize population dynamics, leading to predictable evolutionary outcomes.
The derived formulas provide valuable tools for analyzing population structure and inferring genetic information.
The model successfully captures key evolutionary scenarios, including secondary contact and resistance allele spread.