About this map and σ
Pick a place anywhere in North America, or one of 800 major cities around the world. The arrow points to where today's climate is the closest match to the climate that place is projected to have around 2050 or 2100.
What σ means. σ (sigma) measures how different two climates are, in units of a place's normal year-to-year swings. 0σ is identical.
Under 1σ, the climates are as alike as two ordinary years at the same place. 1–2σ is a reasonable match, 2–4σ only partial, and over 4σ no real match.
Settings
By default the map uses 15 climate models whose transient warming response to CO₂ lies in the IPCC's likely range. Of the other nine, seven warm faster than the evidence supports, one warms more slowly, and one has no published value. Including them mostly shows a hotter outcome that is possible but less likely.
How this works
For each place, the projected climate (averaged over 2041–2060 for “2050” and 2081–2100 for “2100”, the IPCC's standard mid-century and end-of-century periods) is the place's 1991–2020 climate plus the change simulated by CMIP6 climate models. That future climate is compared with today's (1991–2020) climate in every 15 km grid cell across the United States, Canada and Mexico.
Cities outside North America are compared with today's climate everywhere on Earth's land (except Antarctica), in cells of 0.5° (about 55 km). Their present climate, and the global cells, come from TerraClimate 1991–2020; the same 24 climate models and the same method are used.
The comparison uses 14 numbers: average daily high, average nightly low and total precipitation for each season, plus how humid it is (dewpoint) in December–February and June–August. Differences are measured against how much each season normally varies from year to year at the place itself, then expressed as sigma dissimilarity (Mahony et al. 2017), the method Fitzpatrick & Dunn used for their 2019 map of 540 North American cities.
- Under 1σ: the two climates are as alike as two ordinary years at the same place.
- 1–2σ: a reasonable match.
- 2–4σ: a partial match. The future climate has no close counterpart anywhere on the continent today.
- Over 4σ: a novel climate; the arrow shows the least-bad match.
How year-to-year variation is used. The 14 measures don't vary independently. Hot summers tend to be dry, for example. The comparison accounts for these links, using a statistical technique called shrinkage (Ledoit & Wolf 2004) so that patterns which barely vary at a place are neither ignored nor exaggerated.
Models. The map averages 15 of 24 CMIP6 models: those whose transient climate response lies in the IPCC AR6 likely range of 1.4–2.2 °C, following Hausfather et al. (2022). The other nine (seven above the range, one below it, one without a published value) can be included under Advanced. The small dots show each model's own best match, so a tight cluster means the models agree.
Confidence. High means at least 60% of the models put their own best match within 500 km of the arrow's tip, and a second statistical method (keeping only the main patterns of variation) agrees. Low means fewer than 40% of models agree, or the second method points elsewhere and model agreement is modest.
Data and sources
Today's climate: AdaptWest/ClimateNA 1991–2020 monthly normals (1 km, averaged to 15 km; place values use the 1 km cells within 10 km). Year-to-year variability: PRISM monthly 4 km, 1991–2020, detrended (lower 48); TerraClimate elsewhere. Future change: 24 CMIP6 models (Pangeo archive), 2041–2060 and 2081–2100 minus 1991–2020, land-weighted. Worldwide matches and cities outside North America: TerraClimate 1991–2020 monthly (1/24°), averaged to 0.5° for the global pool and within 10 km for each city. Places: GeoNames; national capitals: Natural Earth. Basemap: OpenFreeMap, built from OpenStreetMap data. Backup outlines: Natural Earth.
Mahony, C.R. et al. (2017) Global Change Biology 23:3934. Fitzpatrick, M.C. & Dunn, R.R. (2019) Nature Communications 10:614. Hausfather, Z. et al. (2022) Nature 605:26.