Inbreeding Depression and Coefficient of Inbreeding

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inbreeding genetic-load fitness conservation

Core Idea

Inbreeding increases homozygosity, exposing recessive deleterious alleles and reducing overall fitness in inbreeding depression. The coefficient of inbreeding (F) quantifies the probability that two alleles are identical by descent. Small populations experience unavoidable inbreeding, which is a major concern in conservation biology and breeding programs.

How It's Best Learned

Draw pedigrees and calculate inbreeding coefficients. Compare fitness loss across generations in small populations and in laboratory experiments.

Common Misconceptions

Explainer

Every individual carries a hidden burden of deleterious recessive alleles — mutations that reduce fitness but remain masked in heterozygotes because one functional copy of the gene is enough. In large, randomly mating populations, most individuals are heterozygous at these loci, and the harmful alleles stay invisible. Inbreeding changes this equation. When relatives mate, they share recent common ancestors, which means they are likely to carry copies of the same alleles inherited from those ancestors. Their offspring therefore have a much higher chance of receiving two identical copies — becoming homozygous — and when both copies are the broken version, the deleterious phenotype appears. This is inbreeding depression: the decline in average fitness that accompanies increased homozygosity.

The coefficient of inbreeding (F) puts a number on this risk. F measures the probability that the two alleles at any given locus in an individual are identical by descent — that is, both are physical copies of the same ancestral allele, not just the same variant by coincidence. For the offspring of first cousins, F = 1/16; for offspring of siblings, F = 1/4. You calculate F by tracing paths through the pedigree from one parent up to each common ancestor and back down to the other parent, counting the number of transmission steps. Each path contributes (1/2)^n to F, where n is the number of links in the path. If you studied effective population size, you'll recognize that F also rises predictably in small populations even without deliberate inbreeding — genetic drift forces alleles to fixation, and the average F across the population increases by approximately 1/(2Nₑ) each generation.

The practical consequences are severe. Inbred individuals show reduced survival, lower fertility, weaker immune function, and greater susceptibility to disease — effects documented across animals, plants, and fungi. In conservation biology, small endangered populations face an extinction vortex where declining numbers increase inbreeding, which reduces fitness, which further shrinks the population. Programs that manage captive breeding or reintroduction carefully track pedigrees and F values to minimize relatedness between mating pairs.

A crucial nuance is that inbreeding itself does not create harmful alleles — it merely exposes the genetic load that was already present but hidden in heterozygotes. A population that has been small for many generations may have already purged its most severely deleterious recessives through selection, because those alleles were repeatedly exposed to selection in homozygous form. This is why some naturally inbreeding species, like certain self-fertilizing plants, tolerate high F values with minimal depression. The severity of inbreeding depression depends on the population's history, the nature of its genetic load, and whether the harmful alleles have had time to be purged by selection.

Practice Questions 5 questions

Prerequisite Chain

Counting to 10Counting to 20Understanding ZeroThe Number ZeroCounting to FiveOne-to-One CorrespondenceCombining Small Groups Within 5Addition Within 10Addition Within 20Two-Digit Addition Without RegroupingTwo-Digit Addition with RegroupingAddition Within 100Repeated Addition as MultiplicationMultiplication Facts Within 100Division as Equal SharingDivision as Grouping (Measurement Division)Division: Grouping (Repeated Subtraction) ModelDivision: Fair Sharing ModelDivision as Equal SharingDivision as GroupingBasic Division FactsDivision Facts Within 100Two-Digit by One-Digit DivisionDivision with RemaindersRemainders and Quotients in DivisionDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueReading and Writing DecimalsComparing and Ordering DecimalsAdding and Subtracting DecimalsMultiplying DecimalsDividing DecimalsDividing FractionsMixed Number ArithmeticOrder of OperationsInteger Order of OperationsVariable ExpressionsCombining Like TermsOne-Step EquationsTwo-Step EquationsSolving Multi-Step EquationsEquations with Variables on Both SidesAngle Pairs: Complementary, Supplementary, and VerticalParallel Lines and TransversalsCorresponding AnglesAlternate Interior AnglesTriangle Angle Sum TheoremExterior Angle TheoremTriangle Inequality TheoremSimilar Triangles: AA SimilaritySimilar Triangles: SSS and SAS SimilarityProportions in Similar TrianglesRight Triangle Trigonometry IntroductionTrigonometric Ratios ReviewRadian MeasureConverting Between Degrees and RadiansThe Unit CircleGraphing Sine and CosineGraphing Tangent and Reciprocal Trigonometric FunctionsDerivatives of Trigonometric FunctionsAntiderivativesIterated Integrals and Fubini's TheoremDouble Integrals in Cartesian CoordinatesDouble Integrals over Rectangular RegionsDouble Integrals in Polar CoordinatesDouble Integrals: Definition and SetupIterated Integrals and Fubini's TheoremDouble Integrals over Rectangular RegionsDouble Integrals over General RegionsApplications of Double Integrals: Area, Mass, and MomentsTriple Integrals in Cartesian CoordinatesTriple Integrals in Cylindrical and Spherical CoordinatesChange of Variables and the Jacobian DeterminantApplications of Triple Integrals: Volume and MassVector Fields and Their RepresentationsLine Integrals of Vector FieldsGreen's TheoremSurface Integrals and Flux of Vector FieldsSurface Integrals and Flux of Vector FieldsDivergence Theorem: Flux and OutflowDivergence TheoremElectric FluxGauss's LawConductors in Electrostatic EquilibriumCapacitance and CapacitorsDielectricsDielectric Constant and Relative PermittivityElectric Field Inside Dielectric MaterialsDielectric Materials and PolarizationDielectric Susceptibility and PermittivityEnergy Density in Electric FieldsElectric Current and Current DensityElectrical Resistance and ResistivityOhm's Law and Circuit ElementsElectromotive Force (EMF) and BatteriesKirchhoff's Circuit Laws: Voltage and CurrentDC Circuit Network Analysis MethodsTransient Response in RC CircuitsRC CircuitsLC and RLC CircuitsAC Circuits: FundamentalsImpedance and ReactanceAC Power and ResonanceElectromagnetic WavesThe Electromagnetic SpectrumBlackbody Radiation and Planck's LawPhotoelectric EffectThe Photon: Light as QuantaCompton ScatteringWave-Particle Dualityde Broglie WavelengthHeisenberg Uncertainty PrincipleWavefunction and the Born RuleThe Schrödinger EquationState Vectors and WavefunctionsQuantum SuperpositionQuantum EntanglementBell Theorem and Bell InequalitiesPostulates of Quantum MechanicsScattering TheoryIntroduction to Scattering TheoryPartial Wave Analysis in ScatteringSpin Angular MomentumElectron Spin and Intrinsic Magnetic MomentStern-Gerlach Experiment: Spin Quantization and MeasurementElectron Diffraction and Matter Wave PropertiesDavisson-Germer Experiment: Crystal Diffraction of ElectronsElectron Diffraction and Matter Wave InterferenceWavefunctions and Probability Density InterpretationQuantum Superposition and Linear Combinations of StatesQuantum Operators and ObservablesCanonical Commutation Relations and UncertaintyHeisenberg Uncertainty Principle and Measurement LimitsTime-Independent Schrödinger Equation and EigenvaluesHydrogen Atom in Quantum MechanicsSpectral Lines and Energy TransitionsSelection Rules for Atomic TransitionsLS and jj Coupling Schemes in Multi-Electron AtomsPauli Exclusion Principle and Antisymmetric WavefunctionsElectron Configuration and the Aufbau PrincipleThe Periodic Table and Atomic Electronic StructureThe Periodic TableElectron ConfigurationPeriodic TrendsIonization EnergyIonic BondingLewis StructuresResonance Structures and Delocalized ElectronsResonance and Formal ChargeMolecular Polarity and Dipole MomentsIntermolecular ForcesStates of Matter and Phase Changes: Melting, Boiling, and SublimationGas Laws and the Ideal Gas EquationGas Stoichiometry and Volume-Volume CalculationsThermochemistry and EnthalpyHeat Capacity and CalorimetryEntropy and Molecular DisorderSpontaneity and ΔGEntropy and Gibbs Free EnergyChemical EquilibriumChemical KineticsRate Law DeterminationEnzyme KineticsCell Cycle Regulation and CheckpointsMitosisCytokinesisMeiosisChromosomal Theory of InheritanceMendelian GeneticsDominance, Recessiveness, and Allelic InteractionsSex-Linked InheritanceNon-Mendelian Inheritance PatternsPopulation Genetics and Hardy-Weinberg EquilibriumNatural SelectionGenetic DriftEvolutionary Genetics FoundationsAllele Frequency Change and Evolutionary DynamicsGene Flow and Population StructureGene Flow and Selection: Opposing ForcesGene FlowHardy-Weinberg EquilibriumHardy-Weinberg Equilibrium: Advanced ApplicationsEffective Population SizeInbreeding Depression and Coefficient of Inbreeding

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