Interpret temperature anomalies and reference periods
Rebase recorded annual anomalies without changing the underlying differences or trends.
Learning outcome: Calculate a reference shift and distinguish anomalies, absolute temperatures, rounding and observational uncertainty.
Starting recap
An anomaly is a difference from a named reference. Subtracting a constant changes the zero but preserves differences.
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Try
The stored 2024 anomaly 1.28°C becomes about 0.85767°C relative to 1981–2010 by subtracting 0.42233°C.
Open the experimentPredict
Will changing the temperature reference alter a fitted trend over the same years?
Experiment
Keep the analysis interval fixed and compare all three reference options. Record a yearly anomaly, interval mean, counts and both slopes.
Investigate recorded climate series
Recorded climate estimates · frozen historical series · Frozen climate-records-v1, selected through 2024. NASA GISTEMP v4 global land–ocean annual anomalies and NOAA/Scripps Mauna Loa annual dry-air CO₂ mole fractions are different observational products. Rebasing subtracts a constant. Descriptive ordinary least-squares trends are not causal attribution, forecasts or uncertainty intervals. No live data are requested.
Reset keeps your prediction, captures and practice history.
Snapshot climate-records-v1 retains annual temperature estimates for 1880–2024 and Mauna Loa CO₂ for 1959–2024. The complete bundled timeline remains visible; gold shading marks the selected interval. These are processed observational products, not direct readings from one global thermometer.
| Quantity | Temperature anomaly (°C) | CO₂ mole fraction (ppm) |
|---|---|---|
| Actual coverage | 1959–2024 | 1959–2024 |
| Available / unavailable years | 66 / 0 | 66 / 0 |
| Arithmetic mean of available annual values | 0.3868 | 360.2495 |
| Least-squares slope per decade | 0.1768 | 16.5669 |
| First-to-last slope per decade | 0.1923 | 16.7123 |
| Subtracted temperature baseline offset | 0.000000 °C | Not applied to CO₂ |
The fit uses every available annual value in the interval with equal weight: slope per decade = 10 × Σ[(year − mean year)(value − mean value)] / Σ[(year − mean year)²]. The endpoint slope uses only the first and last available values. Neither describes every year's change. No confidence interval or significance test is calculated; annual climate values are not assumed to be independent random samples.
Inspect all selected annual source values
| Year | Source anomaly °C (1951–1980) | Selected anomaly °C | CO₂ ppm | Reported CO₂ uncertainty ppm |
|---|---|---|---|---|
| 1959 | 0.03 | 0.0300 | 315.98 | 0.12 |
| 1960 | -0.02 | -0.0200 | 316.91 | 0.12 |
| 1961 | 0.06 | 0.0600 | 317.64 | 0.12 |
| 1962 | 0.03 | 0.0300 | 318.45 | 0.12 |
| 1963 | 0.05 | 0.0500 | 318.99 | 0.12 |
| 1964 | -0.20 | -0.2000 | 319.62 | 0.12 |
| 1965 | -0.11 | -0.1100 | 320.04 | 0.12 |
| 1966 | -0.06 | -0.0600 | 321.37 | 0.12 |
| 1967 | -0.02 | -0.0200 | 322.18 | 0.12 |
| 1968 | -0.08 | -0.0800 | 323.05 | 0.12 |
| 1969 | 0.05 | 0.0500 | 324.62 | 0.12 |
| 1970 | 0.03 | 0.0300 | 325.68 | 0.12 |
| 1971 | -0.08 | -0.0800 | 326.32 | 0.12 |
| 1972 | 0.01 | 0.0100 | 327.46 | 0.12 |
| 1973 | 0.16 | 0.1600 | 329.68 | 0.12 |
| 1974 | -0.07 | -0.0700 | 330.19 | 0.12 |
| 1975 | -0.01 | -0.0100 | 331.13 | 0.12 |
| 1976 | -0.10 | -0.1000 | 332.03 | 0.12 |
| 1977 | 0.18 | 0.1800 | 333.84 | 0.12 |
| 1978 | 0.07 | 0.0700 | 335.41 | 0.12 |
| 1979 | 0.16 | 0.1600 | 336.84 | 0.12 |
| 1980 | 0.26 | 0.2600 | 338.76 | 0.12 |
| 1981 | 0.32 | 0.3200 | 340.12 | 0.12 |
| 1982 | 0.14 | 0.1400 | 341.48 | 0.12 |
| 1983 | 0.31 | 0.3100 | 343.15 | 0.12 |
| 1984 | 0.16 | 0.1600 | 344.87 | 0.12 |
| 1985 | 0.12 | 0.1200 | 346.35 | 0.12 |
| 1986 | 0.18 | 0.1800 | 347.61 | 0.12 |
| 1987 | 0.32 | 0.3200 | 349.31 | 0.12 |
| 1988 | 0.39 | 0.3900 | 351.69 | 0.12 |
| 1989 | 0.27 | 0.2700 | 353.20 | 0.12 |
| 1990 | 0.45 | 0.4500 | 354.45 | 0.12 |
| 1991 | 0.41 | 0.4100 | 355.70 | 0.12 |
| 1992 | 0.22 | 0.2200 | 356.54 | 0.12 |
| 1993 | 0.23 | 0.2300 | 357.21 | 0.12 |
| 1994 | 0.31 | 0.3100 | 358.96 | 0.12 |
| 1995 | 0.45 | 0.4500 | 360.97 | 0.12 |
| 1996 | 0.33 | 0.3300 | 362.74 | 0.12 |
| 1997 | 0.47 | 0.4700 | 363.88 | 0.12 |
| 1998 | 0.61 | 0.6100 | 366.84 | 0.12 |
| 1999 | 0.38 | 0.3800 | 368.54 | 0.12 |
| 2000 | 0.39 | 0.3900 | 369.71 | 0.12 |
| 2001 | 0.53 | 0.5300 | 371.32 | 0.12 |
| 2002 | 0.63 | 0.6300 | 373.45 | 0.12 |
| 2003 | 0.62 | 0.6200 | 375.98 | 0.12 |
| 2004 | 0.53 | 0.5300 | 377.70 | 0.12 |
| 2005 | 0.68 | 0.6800 | 379.98 | 0.12 |
| 2006 | 0.64 | 0.6400 | 382.09 | 0.12 |
| 2007 | 0.66 | 0.6600 | 384.02 | 0.12 |
| 2008 | 0.54 | 0.5400 | 385.83 | 0.12 |
| 2009 | 0.66 | 0.6600 | 387.64 | 0.12 |
| 2010 | 0.72 | 0.7200 | 390.10 | 0.12 |
| 2011 | 0.61 | 0.6100 | 391.85 | 0.12 |
| 2012 | 0.65 | 0.6500 | 394.06 | 0.12 |
| 2013 | 0.67 | 0.6700 | 396.74 | 0.12 |
| 2014 | 0.75 | 0.7500 | 398.81 | 0.12 |
| 2015 | 0.89 | 0.8900 | 401.01 | 0.12 |
| 2016 | 1.01 | 1.0100 | 404.41 | 0.12 |
| 2017 | 0.91 | 0.9100 | 406.76 | 0.12 |
| 2018 | 0.85 | 0.8500 | 408.72 | 0.12 |
| 2019 | 0.98 | 0.9800 | 411.65 | 0.12 |
| 2020 | 1.01 | 1.0100 | 414.21 | 0.12 |
| 2021 | 0.85 | 0.8500 | 416.41 | 0.12 |
| 2022 | 0.89 | 0.8900 | 418.53 | 0.12 |
| 2023 | 1.17 | 1.1700 | 421.08 | 0.12 |
| 2024 | 1.28 | 1.2800 | 424.61 | 0.12 |
NOAA defines the annual uncertainty column from the standard deviation of differences between independently determined NOAA and Scripps annual means; it is not a regression confidence interval. The source temperature table supplies no annual uncertainty column here. Decimal precision does not imply zero uncertainty. Temperature rebasing uses the mean of 30 rounded annual anomalies; the native 1951–1980 annual mean can differ slightly from zero because of rounding.
Mauna Loa is a background-air observing location, not a global mean or emissions inventory. Its record includes Maunakea observations during the 2022–2023 eruption interruption. The bundled analysis stops at 2024 to use a fixed historical window; it is not a claim about the latest year. Upstream revisions do not silently replace this snapshot.
Sources: NASA GISTEMP v4, Lenssen and colleagues (2024), observational uncertainty, and NOAA / Scripps CO₂ data. Retrieved 25 October 2026. Two rising series alone do not establish causal attribution; physical mechanisms, alternative drivers and independent evidence are also needed. There is no CO₂-to-emissivity calibration or forecast in this investigation.
Temperature trend 0.1768 °C per decade across 66 annual estimates; CO₂ trend 16.5669 ppm per decade across 66 available annual means.
Selected interval 1959–2024. Temperature reference shift 0.000000 °C. CO₂ coverage 1959–2024; 0 years unavailable in this selection. Missing values are not zero. Co-trends alone do not identify a cause.
Captures preserve interval and reference-period selections in climate-records-v1 and replay descriptive calculations from frozen NASA and NOAA/Scripps annual products. They are not new measurements, live updates or causal experiments.
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Public practice checks a specific claim. It does not establish independent mastery.
Explain which quantities shift and which remain invariant, and why a negative anomaly does not mean an absolute temperature below freezing.
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