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  1. Home
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  3. /Phylogenetics
  4. /Kimura 2-Parameter Distance

Kimura 2-Parameter Distance

Last updated: February 24, 2026

Calculator

Results

Transition Proportion

0.04

Transversion Proportion

0.02

Observed Difference Proportion

0.06

K2P Term 1

0.9

K2P Term 2

0.96

Kimura 2-Parameter Distance

0.062886

Results

Transition Proportion

0.04

Transversion Proportion

0.02

Observed Difference Proportion

0.06

K2P Term 1

0.9

K2P Term 2

0.96

Kimura 2-Parameter Distance

0.062886

The Kimura 2-Parameter (K2P) Distance calculator estimates evolutionary distance between nucleotide sequences by distinguishing between transitions and transversions. Unlike the simpler Jukes-Cantor model that treats all substitutions equally, the K2P model recognizes that transitions (purine-to-purine or pyrimidine-to-pyrimidine changes) occur more frequently than transversions (purine-to-pyrimidine or vice versa).

This model is one of the most widely used distance measures in molecular phylogenetics, particularly for DNA barcoding and constructing neighbor-joining trees. It provides a more accurate estimate of evolutionary distance for most real-world nucleotide data.

Visual Analysis

How It Works

The calculator first determines the proportions of transitions (P) and transversions (Q):

P = Transitions / Total Sites

Q = Transversions / Total Sites

The Kimura 2-Parameter distance is then computed as:

d = -1/2 × ln(1 - 2P - Q) - 1/4 × ln(1 - 2Q)

This formula separately corrects for multiple transitions and transversions, yielding a more accurate distance estimate when the transition/transversion ratio differs from 0.5.

Worked Examples

Low Divergence Sequences

Inputs

transitions20
transversions10
total sites500

Results

P0.04
Q0.02
k2p distance0.062568

With 20 transitions and 10 transversions out of 500 sites, the K2P distance is 0.0626, reflecting a 2:1 transition-to-transversion ratio typical of many organisms.

Higher Divergence with Transition Bias

Inputs

transitions80
transversions20
total sites500

Results

P0.16
Q0.04
k2p distance0.228571

With a strong transition bias (4:1 ratio), the corrected distance is 0.229, demonstrating how the K2P model accounts for the different rates of substitution types.

Frequently Asked Questions

Use K2P when your sequences show a transition/transversion bias, which is the case for most real nucleotide data. The Jukes-Cantor model is only appropriate when all substitution types occur at equal rates. Since transitions almost always outnumber transversions in nature, K2P is generally the better default choice.

The transition/transversion ratio (Ti/Tv) compares the frequency of transitions (A to G, C to T) to transversions (A to C, A to T, G to C, G to T). In most organisms this ratio ranges from 2:1 to over 10:1 for mitochondrial DNA, reflecting the biochemical ease of transitions compared to transversions.

The K2P model still assumes equal base frequencies and uniform rates across sites. For sequences with strong compositional biases or rate variation among sites, more complex models like Tamura-Nei or General Time Reversible (GTR) may be more appropriate. The model also becomes unreliable at very high divergence levels.

Sources & Methodology

Kimura M (1980). A simple method for estimating evolutionary rates of base substitutions through comparative studies of nucleotide sequences. Journal of Molecular Evolution, 16:111-120.
R

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