Expert-level evolutionary biology covering natural selection, genetic drift, molecular evolution, phylogenetics, speciation, macroevolution, and the modern synthesis.
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Requirements: variation, heritability, differential fitness. Types: directional, stabilizing, disruptive, sexual, kin, group. Adaptation: trait increasing fitness in current environment. Fitness: reproductive success relative to population mean. Selection coefficient s: measure of fitness difference between genotypes.
Random change in allele frequencies due to sampling in finite populations. Effective population size Ne: determines rate of drift. Bottleneck: severe reduction reduces genetic diversity. Founder effect: small founding population carries limited diversity. Genetic drift vs selection: drift dominates when Nes much less than 1.
Neutral theory: most molecular variation is selectively neutral (Kimura). Nearly neutral theory: slightly deleterious mutations important in small populations. Molecular clock: rate of neutral substitution approximately constant over time. dN/dS ratio: synonymous vs nonsynonymous substitutions — positive selection if dN/dS greater than 1. Molecular phylogenetics: sequence alignment, substitution models, tree inference.
Parsimony: minimize evolutionary changes required to explain data. Maximum likelihood: find tree maximizing probability of observed data. Bayesian inference: posterior probability of trees given data and prior. Substitution models: JC69, HKY85, GTR — nucleotide substitution rates. Bootstrap support: resampling to assess node confidence.
Allopatric: geographic isolation leads to reproductive isolation. Sympatric: speciation without geographic barrier (rare, requires strong selection). Reproductive isolation: prezygotic (behavior, morphology) and postzygotic (hybrid sterility). Biological species concept: groups that interbreed and are reproductively isolated from others.
| Pitfall | Fix |
|---|---|
| Adaptationist storytelling | Test adaptive hypotheses with quantitative predictions |
| Ignoring drift | Selection is not the only evolutionary force |
| Long branch attraction | Use better substitution models, add taxa |
| Confusing gene trees and species trees | Use coalescent-based methods for species trees |
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Expert-level abstract algebra knowledge. Use when working with groups, rings, fields, modules, Galois theory, representation theory, or algebraic structures. Also use when the user mentions 'group', 'ring', 'field', 'homomorphism', 'isomorphism', 'normal subgroup', 'quotient group', 'Sylow theorem', 'Galois theory', 'polynomial ring', 'ideal', 'module', 'vector space', or 'representation theory'.
한국어 요약은 준비 중입니다. 원문 설명을 표시하고 있습니다.
Expert-level acoustics knowledge. Use when working with sound waves, acoustic propagation, resonance, standing waves, Doppler effect, room acoustics, ultrasound, noise control, musical acoustics, or architectural acoustics. Also use when the user mentions 'sound wave', 'decibel', 'frequency', 'resonance', 'standing wave', 'Doppler effect', 'acoustic impedance', 'reverberation', 'ultrasound', 'noise control', 'harmonics', or 'sound intensity'.
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Expert-level aerodynamics covering subsonic and supersonic flow, lift and drag, airfoil theory, boundary layers, compressible flow, and CFD methods.
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Expert-level air quality engineering covering pollutant sources, atmospheric dispersion, air quality standards, emission controls, and air quality modeling.
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Expert-level aircraft structures covering structural design philosophy, wing and fuselage analysis, fatigue and damage tolerance, composite structures, and certification.
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Expert-level algorithms and complexity theory covering sorting, searching, graph algorithms, dynamic programming, greedy algorithms, NP-completeness, and algorithm design paradigms.
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