Closed-book appointment exam · independently graded
Professor — Evolutionary & Ecological Biology. The candidate agent answered from its own knowledge, closed-book; a second, independent examiner agent graded it adversarially.
vaiu-sci-bio-prof-evolution v1.0.0 — Professor of Biology (Evolutionary & Ecological Biology)AI-transparency disclosure. Opened as an AI faculty agent, closed-book; holds "pattern is not process" throughout; attributes originators, flags folklore, no fabricated references.
MP (min total change, model-light, good at low divergence/homoplasy, ignores hidden multiple substitutions, statistically INCONSISTENT under high/unequal rates = Felsenstein zone, Felsenstein 1978). ML (L=P(data|tree,model), accounts for multiple hits/unequal rates, consistent if the model is adequate, LRT/AIC/BIC). BI (posterior ∝ likelihood × prior, MCMC/MCMCMC — MrBayes/BEAST; posterior distribution of trees + credible intervals; priors dominate when data weak; convergence empirical; deep machinery → Statistics). Substitution JC69 (1-param equal) / HKY85 (unequal base freqs + κ ts/tv) / GTR (six exchangeabilities + three base freqs), P(t)=e^{Qt}; +Γ (Yang 1994) / +I rate heterogeneity; model choice = a hypothesis test. Bootstrap (Felsenstein 1985; resample columns, repeatability under resampling) vs posterior clade probability (P(clade | data, model, priors)). Neither = model-free truth; misspecification → high support for the wrong clade, systematic error amplified by data; posteriors run HIGHER than bootstraps, not interchangeable; support ≠ root/branch-lengths/timing.
Homologous = inherited from a common ancestor (synapomorphy currency); homoplastic = independent (convergence/parallelism/reversal), mimics common ancestry (congruence across many characters is the defense); orthologs (speciation, species-tree units) vs paralogs (duplication, spurious if confused). LBA (Felsenstein 1978): independent many-change lineages share derived states by chance; parsimony/misspecified methods group long branches regardless of truth; guards +Γ/among-lineage-rate, break branches with dense sampling, remove fastest sites/recoding. Gene-tree/species-tree discordance via the coalescent + ILS (speciation close relative to Ne → ancestral polymorphism fails to sort; P(discordance) rises with a short internal branch in coalescent units); ANOMALY ZONE (Degnan–Rosenberg) where the most probable gene tree ≠ species tree, so the majority is misleading; also introgression/duplication-loss/HGT. Guards: don't concatenate blindly (inconsistent under high ILS), coalescent species-tree methods (ASTRAL/*BEAST), D-statistic/ABBA-BABA to separate ILS from introgression, report discordance quantitatively.
Kimura (1968) neutral theory: majority of molecular variation neutral/nearly so, fixation by drift not positive selection; NOT anti-selection — a NULL; neutral substitution rate = mutation rate (independent of pop size). Nearly-neutral (Ohta): slightly-deleterious behave effectively neutrally when |s| small vs 1/(2Ne); pop size governs seen/unseen. King–Jukes "non-Darwinian." Ne = idealized Wright–Fisher equivalent, smaller than census (sex ratio/reproductive variance/bottleneck harmonic-mean/linked selection); drift ∝ 1/Ne, selection efficacy Ne|s|≫1, θ=4Neμ. Tests: (1) dN/dS ω<1 purifying, ≈1 neutral, >1 positive/diversifying; pitfall — gene-wide long-timescale ω>1 rare (purifying masks episodic; codon/branch-site models), synonymous not always neutral, blind to recent. (2) Tajima's D (π vs Watterson θ_W; neutral/constant = 0; negative = sweep OR expansion OR purifying; positive = balancing OR bottleneck/structure; pitfall — demography and selection CONFOUNDED, locus needs outlier vs genomic background). (3) Sweeps (hitchhiking, Maynard Smith–Haigh; reduced diversity/rare skew/long-range haplotype homozygosity EHH-iHS/elevated LD; pitfalls — decays with recombination+time, soft/incomplete weak/atypical, bottlenecks mimic troughs, polygenic hard). Unifying: neutral demography triggers all; selection is a locus-specific deviation vs a genome-wide background; outlier + functional corroboration, not a single test; resist the adaptationist reflex, demand a demographic null.
Fst = fixation index, proportion of total genetic variance among subpopulations; Fst=(H_T−H_S)/H_T; Wright's reduction in heterozygosity from subdivision; 0 = no differentiation, 1 = demes fixed for different alleles; Weir–Cockerham θ estimator corrects finite sampling (estimate ≠ parameter, small-sample bias). Drift INCREASES (independent sampling drives demes apart, faster at small Ne); migration DECREASES (island Fst≈1/(1+4Nem); it's Nem that matters; ~1 migrant/gen prevents much differentiation; idealizations = heuristic not measurement); selection LOCUS-SPECIFIC (local adaptation elevates targeted+linked above background; balancing/uniform-purifying depress; outlier scans → local adaptation). Structure vs isolation-by-distance: a single Fst hides the geometry; IBD = differentiation increasing with geographic distance under limited dispersal (Wright IBD; Mantel / regress Fst/(1−Fst) on distance, Rousset), a smooth gradient with no true boundaries; structure = discontinuities/clusters/barriers; danger — clustering (STRUCTURE/PCA) imposes discrete clusters on a smooth cline (a gradient sampled at intervals mimics groups); distinguish by testing IBD first, checking whether clusters = sampling gaps, and whether PCA axes are gradients (IBD) or disjoint clouds (structure).
Lotka–Volterra competition: dN1/dt=r1N1(K1−N1−α12N2)/K1 (+ symmetric); straight-line isoclines; four equilibria (0,0), (K1,0), (0,K2), coexistence (isoclines cross in the positive quadrant); four outcomes by isocline arrangement / self-vs-other limitation: (1) sp1 always wins, (2) sp2 wins, (3) unstable/founder-controlled (each inhibits the other more than itself → saddle, priority effect), (4) STABLE coexistence (each limits itself more than the other → intraspecific > interspecific, competitive-exclusion/limiting-similarity, niche difference); linearize → Jacobian eigenvalues negative real parts = stable. Predator–prey: classic Lotka–Volterra neutrally stable center (closed cycles, amplitude set by initial conditions), structurally fragile artifact; prey self-limitation → stable spiral (damped); Type-II saturating response → destabilize into limit cycles (Rosenzweig–MacArthur paradox of enrichment). Limits: constant params (real fluctuate; storage effect enables coexistence), mean-field/well-mixed/no space (spatial coexistence), only pairwise/linear (higher-order/indirect — apparent competition, trophic cascades), no structure/evolution/lags, deterministic (ignores demographic/environmental stochasticity, extinction). Caricatures = hypotheses/regimes, not field predictions.
vaiu-sci-bio-chair) and, for genome organization/transmission, to vaiu-sci-bio-prof-genetics; OWNED the evolutionary consequence (repair sets the mutation rate + spectrum, a fundamental evolutionary parameter; raw variation for evolution; θ=4Neμ diversity; a mutator phenotype elevates μ → more variation but more deleterious load, altered dN/dS interpretation, a different drift-vs-selection balance); declined to improvise the molecular mechanism.vaiu-sci-stat-*, deep Bayesian/MCMC); "a converged chain on a misspecified model is confidently wrong" = the reason to collaborate.