A dog's age in human years is not seven times its age. Dogs mature fast and then age more slowly, so the relationship is logarithmic: human age = 16 × ln(dog age) + 31, from a 2020 UC San Diego study of DNA methylation in dogs and people. A 1-year-old dog is about 31 in human years, a 4-year-old about 53, and a 12-year-old about 71. Enter your dog's age in years to convert it.
Dog Age Calculator — dog years to human years
A 4-year-old dog, in human-equivalent years.
Quick examples
How it's calculated
- Human age = 16 × ln(dog age) + 31
- dog
- = 4
- 53.18
How it works
The old rule — one dog year equals seven human years — is a myth. A one-year-old dog is nowhere near a seven-year-old child; it is closer to a young adult. Dogs pack most of their aging into the first couple of years and then slow down, so the curve is not a straight line but a logarithm.
In a 2020 study (first posted as a 2019 preprint), researchers at UC San Diego compared DNA methylation — chemical marks on the genome that shift with age, an "epigenetic clock" — in 104 Labrador Retrievers and 320 humans, and fit a single relationship between the two:
human age = 16 × ln(dog age) + 31
where ln is the natural logarithm. Because the logarithm rises steeply at first and flattens later, a young dog's human-equivalent age climbs quickly and then eases off — matching the way dogs really age. The study noted the fit lines up at the ends too: a senior Labrador of about 12 years maps to roughly 70, the worldwide human life expectancy.
The formula comes from Labrador Retrievers, so treat it as a good general estimate. Breed and size shift the timing — small dogs tend to live longer and age more slowly than giant breeds — so a specific dog may run a little younger or older than the curve.
Worked example
For a 4-year-old dog, human age = 16 × ln(4) + 31 = 16 × 1.386 + 31 = 22.2 + 31 = about 53 human years — not the 28 the "× 7" rule would give. A 12-year-old dog works out to 16 × ln(12) + 31 = 16 × 2.485 + 31 ≈ 71, and a brand-new 1-year-old lands at 16 × ln(1) + 31 = 31, since ln(1) is 0.
Frequently asked questions
Is one dog year really seven human years?
- No — that rule is a rough myth. Dogs age fast early and slow down later, so the real relationship is logarithmic: human = 16 × ln(dog) + 31. The "× 7" rule badly underestimates a young dog and overestimates an old one.
How old is my dog in human years?
- Take the natural logarithm of your dog's age in years, multiply by 16, and add 31. A 2-year-old dog is 16 × ln(2) + 31 ≈ 42; a 10-year-old is 16 × ln(10) + 31 ≈ 68. Just enter the age above and the calculator does it for you.
Does breed or size change the result?
- Yes, somewhat. The formula was fit to Labrador Retrievers, a medium-large breed. Smaller dogs generally live longer and age a little more slowly, while giant breeds age faster, so read the result as a solid estimate rather than an exact figure for every dog.
How does this work for puppies under a year old?
- Below one year the logarithm dips under the 31 baseline — a six-month puppy comes out around 20 human-equivalent years. Very early development (the first weeks) is changing so quickly that any single formula is only approximate there.
Why is the relationship logarithmic instead of a straight line?
- Because biological aging in dogs is front-loaded: a huge amount of development happens in the first year or two, then the pace slows. A logarithm captures exactly that shape — fast at first, flattening later — which a constant multiplier like "× 7" cannot.
Where does this formula come from?
- From a 2020 study by Wang and colleagues at UC San Diego, published in *Cell Systems* (first posted as a 2019 preprint), which compared epigenetic (DNA-methylation) clocks in dogs and humans. It is summarized by the US National Institute on Aging, cited below.
How we know this is right
- Last reviewed
- Sep 9, 2026
- Precision
- Rounded to 0 decimal places.
Sources
- Cell Systems (Cell Press) Wang T. et al., "Quantitative Translation of Dog-to-Human Aging by Conserved Remodeling of the DNA Methylome," Cell Systems 11(2):176–185 (2020): the epigenetic-clock fit human age = 16 × ln(dog age) + 31, from DNA-methylation clocks compared across 104 Labrador Retrievers and 320 humans. · Reviewed Sep 9, 2026
- US National Institute on Aging (NIA) Epigenetics study updates the dog-to-human age formula (US National Institute on Aging): a plain-language summary of Wang et al. (Cell Systems 2020) — the DNA-methylation "epigenetic clocks" of 104 Labrador Retrievers and 320 humans, with a 12-year-old dog mapping to about 70 human years. · Reviewed Sep 9, 2026