🧬 Plant Breeding & Genetics Calculators

Professional breeding value prediction, genetic gain analysis, and genomic selection tools. Research-grade calculations for plant breeders and geneticists.

📡 USDA Live Data LIVE DATA
Select a source → auto-populate calculators
Fetch one source or load all at once
ARS benchmarks: not loaded | NASS yields: not loaded | Gain gap: pending
🍁 ARS Breeding Benchmarks
📊 NASS Crop Yields
⚖ Genetic Gain Gap
🍁 USDA-ARS — Heritability & Breeding Parameter Benchmarks

Published heritability (h²) estimates and effective population size benchmarks from USDA-ARS germplasm research programs. Auto-populates heritability across all five SF2 science calculators (BLUP, Genetic Gain, Genomic Selection, Selection Index) and effective population size (N€).

Select crop and trait to load USDA-ARS heritability benchmarks.

Source: USDA-ARS Crop Improvement Programs. Published h² estimates from USDA germplasm and breeding program literature. Reference values; actual h² is population- and environment-specific.

📊 USDA NASS — Crop Yield & Population Means

USDA NASS national average yields for use as population mean benchmarks in BLUP and Genetic Gain calculations. Auto-populates population mean (μ) in the BLUP EBV calculator (SF2-S.002) and provides phenotypic standard deviation context for the Genetic Gain calculator (SF2-S.003).

Select crop and year to load national average yield as population mean benchmark.

Source: USDA NASS QuickStats. National average yield, annual. Live API attempted; reference data used as fallback.

⚖ Genetic Gain Gap Analysis

Compares expected genetic gain per cycle under phenotypic selection vs genomic selection, based on loaded h² benchmarks. Shows years to achieve a target yield improvement and the cycle-time advantage of GS over conventional breeding.

Load ARS and NASS data first, then click Build Gain Gap.

Tip: Use the GS advantage output to justify genomic selection investment in the Genomic Selection Accuracy calculator (SF2-S.004).

🧬 Inbreeding Coefficient (F)

Model SF2-S.001

Calculate Wright's coefficient of inbreeding from pedigree data. Measures the probability that two alleles at any locus are identical by descent.

Each independent path from sire to dam through a common ancestor
0 if ancestor is non-inbred

🎯 BLUP Breeding Value Estimation

Model SF2-S.002

Estimate Best Linear Unbiased Prediction (BLUP) breeding values using phenotypic records, heritability, and population parameters.

Measured trait value for the individual
Narrow-sense heritability (0–1)

πŸ“ˆ Genetic Gain Prediction (Ξ”G)

Model SF2-S.003

Predict response to selection using the Breeder's Equation. Calculate expected genetic gain per cycle based on heritability, selection intensity, and genetic variance.

Narrow-sense heritability (0–1)
Top 5% β†’ i β‰ˆ 2.06; Top 10% β†’ i β‰ˆ 1.76; Top 20% β†’ i β‰ˆ 1.40
Square root of phenotypic variance
Generation interval in years

🧬 Genomic Selection Accuracy

Model SF2-S.004

Predict genomic selection accuracy based on training population size, heritability, effective number of loci, and marker density. Uses Daetwyler et al. (2008) framework.

Number of genotyped + phenotyped individuals
Mβ‚‘ β‰ˆ 2Nβ‚‘L/log(4Nβ‚‘L) where Nβ‚‘ = effective pop size, L = genome length in Morgans. Typical: 500–5000
Used for long-term accuracy projections

βš–οΈ Selection Index (Smith-Hazel)

Model SF2-S.005

Construct a multi-trait selection index combining 2–4 traits with economic weights. Calculates optimal index weights and expected genetic gains per trait.

Trait 1

Trait 2

Average genetic correlation among all trait pairs (-1 to +1). Use 0 if unknown.

Why AgrStak 🌾 Plant Breeding?

From inbreeding assessment to multi-trait selection indices, our calculators bring research-grade quantitative genetics tools to breeders at every level. All models are based on peer-reviewed methods with full scientific citations.

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