GenetixBayEST. 2009
Breeding · Intermediate · 3 min read

Mendelian genetics for growers, with Punnett squares

Traits controlled by one gene follow Mendel's rules: each parent passes one of its two alleles at random, so a cross of two heterozygotes gives a 1:2:1 genotype ratio and, for a dominant trait, a 3:1 look. In cannabis the clearest single-gene examples are autoflowering (recessive) and the THC/CBD chemotype switch (close to codominant).

Established
Draft: awaiting expert review Updated
Any stageAny system

Short answer. Every plant carries two copies (alleles) of each gene and passes one, chosen at random, to each seed. Cross two plants that each carry one hidden recessive allele and about a quarter of the offspring will show the recessive trait. Most traits growers care about (yield, potency, flavour) are not single genes, but Mendel's rules are still the foundation: they explain why F1s look uniform and F2s scatter.

What's happening

Mendel's two laws [1]:

  1. Segregation. The two alleles of a gene separate when pollen and ovules form, so each gamete carries one.
  2. Independent assortment. Alleles of different genes are inherited independently, unless the genes sit close together on the same chromosome (linkage).

Cannabis has 10 chromosome pairs, and recombination is concentrated near chromosome ends, so large central regions are inherited in blocks [5]. That matters: the THC and CBD synthase genes sit together in such a block [5].

Punnett square 1: a recessive trait (autoflowering)

Autoflowering behaves as one recessive gene in the mapped populations [3]. A = photoperiod, a = auto.

F1 (Aa) x F1 (Aa):

A a
A AA (photo) Aa (photo)
a Aa (photo) aa (auto)

Genotypes 1 AA : 2 Aa : 1 aa. Phenotypes 3 photo : 1 auto. Two of every three photoperiod F2s still carry the auto allele, and you cannot see which by eye.

Punnett square 2: a codominant trait (chemotype)

de Meijer et al. (2003) modelled chemotype with one locus, B, and alleles B_T (THC synthase) and B_D (CBD synthase), behaving codominantly [4]. Later work shows it is really two tightly linked genes inherited as a unit, with complications (see chemotype inheritance).

THC:CBD F1 (B_T/B_D) x THC:CBD F1 (B_T/B_D):

B_T B_D
B_T B_T/B_T (THC dominant, type I) B_T/B_D (mixed, type II)
B_D B_T/B_D (mixed, type II) B_D/B_D (CBD dominant, type III)

Expect 1 type I : 2 type II : 1 type III. Here you can see the heterozygote, because both alleles show.

Punnett square 3: two genes at once

Cross two plants that are heterozygous for both autoflowering (Aa) and chemotype (B_T/B_D). If the genes are unlinked, you get 16 combinations. The share that is auto and CBD dominant (aa and B_D/B_D) is ¼ x ¼ = 1/16. Each extra fixed requirement multiplies the odds down. That is the core reason pheno hunts need big numbers.

Numbers that matter

Situation Expected share Plants to grow for 95% chance of at least one
Recessive trait in an F2 (¼) 25% 11
Two unlinked recessives (1/16) 6.25% 47
Three unlinked recessives (1/64) 1.6% 191
Homozygous dominant you can't see (1/3 of dominant-looking F2s) 33% of the dominant class Needs a progeny test

Formula: n = ln(0.05) / ln(1 - p). With p = 0.25, n = 10.4, so 11 plants [2].

Checking a ratio

Use a chi-square test. For 100 F2 plants with 70 photo and 30 auto against 75:25: χ² = (70-75)²/75 + (30-25)²/25 = 0.33 + 1.0 = 1.33, below 3.84 (1 degree of freedom, 5% level), so the data fit 3:1. Toth et al. used exactly this logic to call autoflowering recessive [3].

Why real ratios drift

  • Small samples. Ten plants rarely show a perfect 3:1.
  • Linkage. Genes near each other travel together.
  • Selection before scoring. If weak seedlings die first, recessive classes can be under-counted.
  • Many genes. Height, yield and terpene totals are quantitative; see quantitative traits.
  • Dominance is not always complete. Autoflower heterozygotes flower earlier than pure photoperiods even though they are not autos [3].

Common mistakes

  • Assuming "dominant" means "common" or "better". It only describes how alleles interact.
  • Reading 3:1 into a 12-plant tent.
  • Forgetting that a dominant-looking plant can be AA or Aa. Only a test cross (to aa) or a DNA marker tells you.

Evidence

  • Mendel's laws and chi-square testing: Established [1][2].
  • Autoflowering as a single recessive locus: Supported [3].
  • Chemotype as a near-codominant single inheritance unit: Established as a working model, refined since [4][5].

Questions this article answers

How do Punnett squares work for cannabis?

Traits controlled by one gene follow Mendel's rules: each parent passes one of its two alleles at random, so a cross of two heterozygotes gives a 1:2:1 genotype ratio and, for a dominant trait, a 3:1 look. In cannabis the clearest single-gene examples are autoflowering (recessive) and the THC/CBD chemotype switch (close to codominant).

What does 3:1 ratio mean?

Traits controlled by one gene follow Mendel's rules: each parent passes one of its two alleles at random, so a cross of two heterozygotes gives a 1:2:1 genotype ratio and, for a dominant trait, a 3:1 look. In cannabis the clearest single-gene examples are autoflowering (recessive) and the THC/CBD chemotype switch (close to codominant).

What is dominant and recessive in cannabis?

Traits controlled by one gene follow Mendel's rules: each parent passes one of its two alleles at random, so a cross of two heterozygotes gives a 1:2:1 genotype ratio and, for a dominant trait, a 3:1 look. In cannabis the clearest single-gene examples are autoflowering (recessive) and the THC/CBD chemotype switch (close to codominant).

How many plants do I need to find a recessive trait?

Traits controlled by one gene follow Mendel's rules: each parent passes one of its two alleles at random, so a cross of two heterozygotes gives a 1:2:1 genotype ratio and, for a dominant trait, a 3:1 look. In cannabis the clearest single-gene examples are autoflowering (recessive) and the THC/CBD chemotype switch (close to codominant).

Why don't my F2 ratios match the textbook?

Traits controlled by one gene follow Mendel's rules: each parent passes one of its two alleles at random, so a cross of two heterozygotes gives a 1:2:1 genotype ratio and, for a dominant trait, a 3:1 look. In cannabis the clearest single-gene examples are autoflowering (recessive) and the THC/CBD chemotype switch (close to codominant).

What is linkage?

Traits controlled by one gene follow Mendel's rules: each parent passes one of its two alleles at random, so a cross of two heterozygotes gives a 1:2:1 genotype ratio and, for a dominant trait, a 3:1 look. In cannabis the clearest single-gene examples are autoflowering (recessive) and the THC/CBD chemotype switch (close to codominant).

Sources

  1. Miko I. 2008. Gregor Mendel and the principles of inheritance. Nature Education 1(1):134. nature.com/scitable/topicpage/gregor-mendel-and-the-principl
  2. Suza W, Lamkey K (eds). 2023. Quantitative Genetics for Plant Breeding. Iowa State University Digital Press. iastate.pressbooks.pub/quantitativegenetics/
  3. Toth JA, Stack GM, Carlson CH, Smart LB. 2022. Identification and mapping of major-effect flowering time loci Autoflower1 and Early1 in Cannabis sativa L. Frontiers in Plant Science 13:991680. doi.org/10.3389/fpls.2022.991680
  4. de Meijer EPM, Bagatta M, Carboni A, et al. 2003. The inheritance of chemical phenotype in Cannabis sativa L. Genetics 163(1):335-346. doi.org/10.1093/genetics/163.1.335
  5. Laverty KU, Stout JM, Sullivan MJ, et al. 2019. A physical and genetic map of Cannabis sativa identifies extensive rearrangements at the THC/CBD acid synthase loci. Genome Research 29(1):146-156. doi.org/10.1101/gr.242594.118

Was this helpful?

Tell us by joining the waitlist: Founding Members shape what the Professor writes next.

Professor Greenleaf

Grow with the Professor.

The GenetixBay community is coming: honest grow journals, permanent GB-IDs for genetics, and a Professor who answers with citations. Founding Members get first access and the lowest numbers in the archive.