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SCIENCE · INVESTIGATE AND EXPLAIN

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.

All lessons are open directly. Your saved experiments remain when you leave and return.

Try

The stored 2024 anomaly 1.28°C becomes about 0.85767°C relative to 1981–2010 by subtracting 0.42233°C.

Open the experiment

Predict

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.

NASA GISTEMP v4 · global land–ocean temperature anomaly (°C)Source baseline: 1951–1980 · dashed line: selected least-squares fit-1.5-1-0.500.511.518801920196020002024Year · full context retained for every selection
NOAA / Scripps Mauna Loa record · CO₂ mole fraction (ppm)Different quantity and spatial coverage · not a global temperature record300320340360380400420440Before 1959:unavailable18801920196020002024Year · same time axis, separate physical units
Descriptive statistics for available annual values in the selected interval
QuantityTemperature anomaly (°C)CO₂ mole fraction (ppm)
Actual coverage1959–20241959–2024
Available / unavailable years66 / 066 / 0
Arithmetic mean of available annual values0.3868360.2495
Least-squares slope per decade0.176816.5669
First-to-last slope per decade0.192316.7123
Subtracted temperature baseline offset0.000000 °CNot 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
Frozen annual estimates, with source and rebased anomalies kept separate
YearSource anomaly °C (1951–1980)Selected anomaly °CCO₂ ppmReported CO₂ uncertainty ppm
19590.030.0300315.980.12
1960-0.02-0.0200316.910.12
19610.060.0600317.640.12
19620.030.0300318.450.12
19630.050.0500318.990.12
1964-0.20-0.2000319.620.12
1965-0.11-0.1100320.040.12
1966-0.06-0.0600321.370.12
1967-0.02-0.0200322.180.12
1968-0.08-0.0800323.050.12
19690.050.0500324.620.12
19700.030.0300325.680.12
1971-0.08-0.0800326.320.12
19720.010.0100327.460.12
19730.160.1600329.680.12
1974-0.07-0.0700330.190.12
1975-0.01-0.0100331.130.12
1976-0.10-0.1000332.030.12
19770.180.1800333.840.12
19780.070.0700335.410.12
19790.160.1600336.840.12
19800.260.2600338.760.12
19810.320.3200340.120.12
19820.140.1400341.480.12
19830.310.3100343.150.12
19840.160.1600344.870.12
19850.120.1200346.350.12
19860.180.1800347.610.12
19870.320.3200349.310.12
19880.390.3900351.690.12
19890.270.2700353.200.12
19900.450.4500354.450.12
19910.410.4100355.700.12
19920.220.2200356.540.12
19930.230.2300357.210.12
19940.310.3100358.960.12
19950.450.4500360.970.12
19960.330.3300362.740.12
19970.470.4700363.880.12
19980.610.6100366.840.12
19990.380.3800368.540.12
20000.390.3900369.710.12
20010.530.5300371.320.12
20020.630.6300373.450.12
20030.620.6200375.980.12
20040.530.5300377.700.12
20050.680.6800379.980.12
20060.640.6400382.090.12
20070.660.6600384.020.12
20080.540.5400385.830.12
20090.660.6600387.640.12
20100.720.7200390.100.12
20110.610.6100391.850.12
20120.650.6500394.060.12
20130.670.6700396.740.12
20140.750.7500398.810.12
20150.890.8900401.010.12
20161.011.0100404.410.12
20170.910.9100406.760.12
20180.850.8500408.720.12
20190.980.9800411.650.12
20201.011.0100414.210.12
20210.850.8500416.410.12
20220.890.8900418.530.12
20231.171.1700421.080.12
20241.281.2800424.610.12

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.

Understand

Read the reference before reading the number

The frozen record reports a 2024 temperature anomaly of +1.28°C relative to 1951–1980. This does not mean Earth’s absolute global temperature was 1.28°C. An anomaly is a difference from a reference, not an absolute thermometer reading. Its zero identifies the chosen baseline rather than the freezing point of water.

The temperature series is NASA’s annual January–December global Land–Ocean Temperature Index. The local snapshot contains 145 years, 1880–2024. It is an observational analysis, not a synthetic experiment and not a single instrument’s raw reading. NASA combines land and ocean information and can revise historical estimates as inputs and methods are updated. NASA GISTEMP description.

The lab uses a frozen version so your calculation can be reproduced. A later source download might differ slightly. Record the dataset version and interval with your result instead of assuming that a current webpage must reproduce every frozen value exactly.

Change the baseline without changing the history

The native baseline is 1951–1980. Selecting 1981–2010 subtracts the mean native anomaly over those years, 0.4223333°C, from every displayed temperature value. Selecting 1991–2020 instead subtracts 0.6113333°C. These offsets are calculated from the stored annual values.

For 2024, rebasing to 1981–2010 gives 1.28 − 0.4223333 = 0.8576667°C. Rebasing to 1991–2020 gives 0.6686667°C. The underlying year has not become cooler because you selected a different zero. You have changed the comparison period.

Write the three 2024 values in a paper ledger with their reference periods beside them. Then explain why quoting only the anomaly number, without its baseline, leaves the statement incomplete. The NASA data page identifies the native reference used in these tables.

Predict what subtraction preserves

Suppose two native anomalies are A and B and the new baseline offset is c. Their rebased difference is (B − c) − (A − c) = B − A. The shared constant cancels. Year-to-year differences and slopes across the same observations therefore remain unchanged.

Use the stored values 0.61°C for 1998 and 0.65°C for 2012. Their difference is +0.04°C. Rebase both to 1981–2010 on paper, then subtract again. You should recover +0.04°C apart from your rounding. Inspect the model’s endpoint and fitted slopes before and after changing reference; neither should change for the same analysis interval.

An interval mean does shift by the offset. Counts and years do not. Make a prediction table labeling these quantities “changes” or “unchanged” before using the reference control. This tests whether you understand a reference transformation rather than merely noticing that a curve moves vertically.

Keep rounding and uncertainty distinct

The stored annual temperature anomalies are rounded. Their 1951–1980 average is approximately +0.0003333°C, not exactly zero. The native-reference option preserves the published values rather than subtracting this small residual. A tiny residual from rounded annual data is not proof of an incorrect baseline or a physical warming mechanism.

Decimal resolution does not define the full uncertainty of an observational analysis. NASA documents uncertainty separately, including spatial and temporal structure, in Lenssen and colleagues’ uncertainty study. This lab does not load that ensemble or manufacture temperature error bars from the number of printed decimal places.

The full timeline remains visible when you select an interval. Use it to keep your rebased calculation connected to the wider record. Changing a baseline is a transparent comparison choice, not permission to relabel a short interval as the complete history.

Transfer to an unfamiliar reference

Two hypothetical annual anomalies are −0.20°C and +0.50°C. A new reference has mean anomaly +0.30°C on the old scale. Rebase both values and calculate their difference. Does the sign of the first rebased anomaly establish an absolute temperature below freezing?

Check the temperature-anomalies transfer

The rebased values are −0.50°C and +0.20°C; their difference remains +0.70°C. A negative anomaly means cooler than the reference, not necessarily below an absolute temperature of 0°C.

Apply

Subtracting the same baseline offset from all annual anomalies changes:

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.

Continue

Completion requires a saved prediction, at least one capture and a reflection. Presence checks do not grade your reasoning.

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