---
title: "The Earth’s Climate, Past and Present"
book: "Primary & Middle School Earth and Space Sciences"
subject: earth
language: en
chapter: 28
exercises: 12
source: https://one-course.com/books/earth/1/en/chapter/28-the-earths-climate-past-and-present
license: CC-BY-NC-SA-4.0
credit: "One Earth and Space Sciences Book, One Course (one-course.com)"
---

# Chapter 28 — The Earth’s Climate, Past and Present

If the Earth had no air around it, but reflected the same share of sunlight as it does today, its surface would settle at an average temperature of about $-19{}^{\circ}\mathrm{C}$: frozen [seas](https://one-course.com/books/earth/1/en/chapter/3-water-on-earth#def-g2-water-on-earth-ocean), frozen land, everywhere. Its real average is about $15{}^{\circ}\mathrm{C}$. The difference, some $34{}^{\circ}\mathrm{C}$, comes from a few gases in the air, present in tiny amounts, that keep part of the Earth’s heat from escaping to space. This chapter is about these gases, about the Earth’s [climate](https://one-course.com/books/earth/1/en/chapter/11-weather-and-climate#def-g5-weather-and-climate-climate) in the past, and about how and why it is changing now.

**You already know.**

The [climate](https://one-course.com/books/earth/1/en/chapter/11-weather-and-climate#def-g5-weather-and-climate-climate) of a place is the [weather](https://one-course.com/books/earth/1/en/chapter/1-watching-the-weather#def-g1-watching-the-weather-weather) it usually has, averaged over 30 years ([Chapter 11](https://one-course.com/books/earth/1/en/chapter/11-weather-and-climate#ch-g5-weather-and-climate)). The lowest layer of the atmosphere, where the [weather](https://one-course.com/books/earth/1/en/chapter/1-watching-the-weather#def-g1-watching-the-weather-weather) happens, is the [troposphere](https://one-course.com/books/earth/1/en/chapter/23-the-atmosphere#def-g8-the-atmosphere-layers) ([Chapter 23](https://one-course.com/books/earth/1/en/chapter/23-the-atmosphere#ch-g8-the-atmosphere)). [Ice ages](https://one-course.com/books/earth/1/en/chapter/27-ice-on-earth#def-g8-ice-on-earth-ice-age), with [ice sheets](https://one-course.com/books/earth/1/en/chapter/27-ice-on-earth#def-g8-ice-on-earth-ice-sheet) far beyond the [poles](https://one-course.com/books/earth/1/en/chapter/6-the-globe-continents-and-oceans#def-g3-continents-and-oceans-poles), have come and gone; the Arctic [sea ice](https://one-course.com/books/earth/1/en/chapter/27-ice-on-earth#def-g8-ice-on-earth-sea-ice) has shrunk since 1979 ([Chapter 27](https://one-course.com/books/earth/1/en/chapter/27-ice-on-earth#ch-g8-ice-on-earth)). In chemistry, you learn that carbon dioxide, methane and water vapour are *greenhouse gases*: they let sunlight through but absorb the invisible infrared light given off by the warm ground, which is the *greenhouse effect*; burning coal, oil and gas releases carbon dioxide.

## 28.1 The greenhouse effect and the Earth’s temperature

Sunlight crosses the atmosphere and warms the ground and the [oceans](https://one-course.com/books/earth/1/en/chapter/3-water-on-earth#def-g2-water-on-earth-ocean). Like every warm body, the warm surface gives off energy in turn, as infrared light that the eye cannot see. If all of it escaped to space, the Earth would be the frozen world of the first paragraph. But the greenhouse gases of the air absorb much of this infrared light and send part of it back down: the surface receives energy both from the Sun and from the air above it, and settles at a higher temperature.

![The greenhouse effect, simply (a sketch). Without it, the Earth’s surface would average about -19 C; with it, about 15 C.](https://one-course.com/images/onecourse/chapters/earth-1/g9-climate-past-and-present/fig-7542494ad673.svg)

*The greenhouse effect, simply (a sketch). Without it, the Earth’s surface would average about $-19{}^{\circ}\mathrm{C}$; with it, about $15{}^{\circ}\mathrm{C}$.*

The greenhouse effect is natural and necessary: without it there would be no liquid water at the surface. The question of this chapter is a different one: what happens to the Earth’s temperature when the amount of greenhouse gas in the air changes?

## 28.2 Climates of the past

To read the [climate](https://one-course.com/books/earth/1/en/chapter/11-weather-and-climate#def-g5-weather-and-climate-climate) of the distant past, scientists drill into the [ice sheets](https://one-course.com/books/earth/1/en/chapter/27-ice-on-earth#def-g8-ice-on-earth-ice-sheet). Every year, [snow](https://one-course.com/books/earth/1/en/chapter/7-clouds-rain-and-snow#def-g4-clouds-rain-snow-precipitation) falls on Antarctica and Greenland, and the summer [snow](https://one-course.com/books/earth/1/en/chapter/7-clouds-rain-and-snow#def-g4-clouds-rain-snow-precipitation) is a little different from the winter [snow](https://one-course.com/books/earth/1/en/chapter/7-clouds-rain-and-snow#def-g4-clouds-rain-snow-precipitation). Buried and pressed into ice, the yearly layers remain, one above the other, like the pages of a book. The deeper the ice, the older it is.

![A section of ice core 19\, cm long, drilled at a depth of 1855\, m in the Greenland ice sheet and lit from below. The arrows point to the lighter summer layers, between darker winter layers: eleven years of snow. NOAA Paleoclimatology (public domain, via Wikimedia Commons).](https://one-course.com/images/onecourse/chapters/earth-1/g9-climate-past-and-present/img-cd86d77ac5c0.jpg)

*A section of ice core $19\,\mathrm{cm}$ long, drilled at a depth of $1855\,\mathrm{m}$ in the Greenland [ice sheet](https://one-course.com/books/earth/1/en/chapter/27-ice-on-earth#def-g8-ice-on-earth-ice-sheet) and lit from below. The arrows point to the lighter summer layers, between darker winter layers: eleven years of [snow](https://one-course.com/books/earth/1/en/chapter/7-clouds-rain-and-snow#def-g4-clouds-rain-snow-precipitation). NOAA Paleoclimatology (public domain, via Wikimedia Commons).*

An ice core keeps two records of the past. The [snow](https://one-course.com/books/earth/1/en/chapter/7-clouds-rain-and-snow#def-g4-clouds-rain-snow-precipitation) itself tells how cold the air was when it fell: the colder the air, the smaller the share of the heavier forms of hydrogen and oxygen in the [snow](https://one-course.com/books/earth/1/en/chapter/7-clouds-rain-and-snow#def-g4-clouds-rain-snow-precipitation). And as [snow](https://one-course.com/books/earth/1/en/chapter/7-clouds-rain-and-snow#def-g4-clouds-rain-snow-precipitation) is pressed into ice, the spaces between the grains close up, trapping tiny bubbles of the air of the time. Scientists release this ancient air in the laboratory and measure its carbon dioxide.

![Eight hundred thousand years read in the ice of Antarctica. Top: the change in air temperature at Dome C, compared with the average of the last thousand years (EPICA Dome C ice core, J. Jouzel and others, 2007). Bottom: the carbon dioxide of the air trapped in the ice, in parts per million (B. Bereiter and others, 2015). Both averaged over steps of 2000 years; time runs from the left (oldest) to the right (today).](https://one-course.com/images/onecourse/chapters/earth-1/g9-climate-past-and-present/fig-731c1d2976d8.svg)

*Eight hundred thousand years read in the ice of Antarctica. Top: the change in air temperature at Dome C, compared with the average of the last thousand years (EPICA Dome C ice core, J. Jouzel and others, 2007). Bottom: the carbon dioxide of the air trapped in the ice, in parts per million (B. Bereiter and others, 2015). Both averaged over steps of $2000$ years; time runs from the left (oldest) to the right (today).*

The two curves tell the same story. Again and again, long cold times, the [ice ages](https://one-course.com/books/earth/1/en/chapter/27-ice-on-earth#def-g8-ice-on-earth-ice-age), gave way to shorter warm times, then the cold came back. At the coldest, the air over Antarctica was about $9{}^{\circ}\mathrm{C}$ colder than in the last thousand years; in the warmest times it was a few degrees warmer. And the carbon dioxide rose and fell with the temperature, between about $175\,\mathrm{ppm}$ in the cold times and about $300\,\mathrm{ppm}$ in the warm ones. We live in one of the warm times, which began as the last [ice age](https://one-course.com/books/earth/1/en/chapter/27-ice-on-earth#def-g8-ice-on-earth-ice-age) ended.

**Method 28.1 (Reading two records side by side).**

1. Check that the two records share the same time axis, and which way time runs.
2. Pick a date on the time axis and read each record at that date.
3. Look for peaks and troughs: do they come at the same times in both records?
4. Say what moves together, without deciding yet which change caused the other.

**Example 28.2 (The last ice age in the ice core).**

At $20\,000$ years before today (the 20 on the time axis), the temperature curve is at about $-9{}^{\circ}\mathrm{C}$ and the carbon dioxide at about $190\,\mathrm{ppm}$. In the last thousand years, the temperature curve is close to 0 and the carbon dioxide close to $280\,\mathrm{ppm}$. So, at the coldest of the last [ice age](https://one-course.com/books/earth/1/en/chapter/27-ice-on-earth#def-g8-ice-on-earth-ice-age), the air over Antarctica was about $9{}^{\circ}\mathrm{C}$ colder, and it held about $280 - 190 = 90\,\mathrm{ppm}$ less carbon dioxide, a third less.

Further back still, the Earth knew [climates](https://one-course.com/books/earth/1/en/chapter/11-weather-and-climate#def-g5-weather-and-climate-climate) much warmer than any of the last 800 000 years. The scientific assessments estimate that the last time the Earth’s surface stayed $2.5{}^{\circ}\mathrm{C}$ or more above its level of the late 19th century was over three million years ago.

## 28.3 The records of today

Since the late 19th century, the temperature has been measured every day at thousands of [weather stations](https://one-course.com/books/earth/1/en/chapter/7-clouds-rain-and-snow#def-g4-clouds-rain-snow-weather-station) on land and at [sea](https://one-course.com/books/earth/1/en/chapter/3-water-on-earth#def-g2-water-on-earth-ocean), with thermometers kept in the shade. To follow the whole planet, scientists do not average the temperatures themselves, which depend on where each station is, but how much each one differs from its own usual value.

**Definition 28.3 (Temperature anomaly).**

A *temperature anomaly* is the difference between a temperature and its average over a chosen reference period. It is positive when it is warmer than that average, negative when it is colder.

![A weather station: the white box on legs, with slatted sides, keeps the thermometers in the shade while the air flows through it; on the right, a rain gauge (AI-generated illustration of a generic scene).](https://one-course.com/images/onecourse/chapters/earth-1/g9-climate-past-and-present/img-76f0627ae20d.jpg)

*A [weather station](https://one-course.com/books/earth/1/en/chapter/7-clouds-rain-and-snow#def-g4-clouds-rain-snow-weather-station): the white box on legs, with slatted sides, keeps the thermometers in the shade while the air flows through it; on the right, a [rain gauge](https://one-course.com/books/earth/1/en/chapter/7-clouds-rain-and-snow#def-g4-clouds-rain-snow-rain-gauge) (AI-generated illustration of a generic scene).*

The NASA record of the global temperature, for instance, gives each year’s anomaly compared with the average of 1951–1980, from land stations and from measurements of the [sea](https://one-course.com/books/earth/1/en/chapter/3-water-on-earth#def-g2-water-on-earth-ocean) surface. Averaged decade by decade, it shows a clear rise.

![The global surface temperature, decade by decade since the 1880s, as an anomaly compared with the 1951–1980 average; the last bar covers the six years 2020–2025. Data: NASA GISTEMP version 4.](https://one-course.com/images/onecourse/chapters/earth-1/g9-climate-past-and-present/fig-5afa7b072536.svg)

*The global surface temperature, decade by decade since the 1880s, as an anomaly compared with the 1951–1980 average; the last bar covers the six years 2020–2025. Data: NASA GISTEMP version 4.*

**Definition 28.4 (Global warming).**

*Global warming* is the rise of the average temperature of the Earth’s surface, as a whole, since the second half of the 19th century.

Year by year, the record goes up and down: one year can be cooler than the one before, because the [weather](https://one-course.com/books/earth/1/en/chapter/1-watching-the-weather#def-g1-watching-the-weather-weather) of a whole year, over [oceans](https://one-course.com/books/earth/1/en/chapter/3-water-on-earth#def-g2-water-on-earth-ocean) and [continents](https://one-course.com/books/earth/1/en/chapter/6-the-globe-continents-and-oceans#def-g3-continents-and-oceans-continent), varies too. To measure a warming, scientists therefore compare averages over many years, never two single years.

![The global temperature anomaly of every year from 1880 to 2025 (compared with the 1951–1980 average, dashed line), with the means of two periods of the problem of this chapter: 1880–1899 and 2015–2024. Data: NASA GISTEMP version 4.](https://one-course.com/images/onecourse/chapters/earth-1/g9-climate-past-and-present/fig-544402ec00f7.svg)

*The global [temperature anomaly](#def-g9-climate-past-and-present-anomaly) of every year from 1880 to 2025 (compared with the 1951–1980 average, dashed line), with the means of two periods of the problem of this chapter: 1880–1899 and 2015–2024. Data: NASA GISTEMP version 4.*

**Method 28.5 (Measuring a warming between two periods).**

1. Choose two periods of at least ten years each, one early and one late, so that the ups and downs of single years cancel out.
2. Average the yearly anomalies of each period.
3. Subtract the early mean from the late one: the result is the warming between the two periods, in degrees.
4. Say which record and which periods you used: another record, or other periods, give a slightly different number.

**Example 28.6 (The warming since the 1970s).**

In the NASA record, the anomalies of the ten years 1970–1979 average $0.03{}^{\circ}\mathrm{C}$, and those of 2010–2019 average $0.80{}^{\circ}\mathrm{C}$. The warming between these two decades is $0.80 - 0.03 = 0.77{}^{\circ}\mathrm{C}$, in forty years: about $0.19{}^{\circ}\mathrm{C}$ per decade. Single years, also forty years apart, would give very different answers: 1976 ($-0.10$) against 2016 (1.01) gives $1.11{}^{\circ}\mathrm{C}$, but 1979 (0.16) against 2011 (0.61) gives only $0.45{}^{\circ}\mathrm{C}$.

The carbon dioxide of the air has been measured directly since March 1958, at an observatory about $3400\,\mathrm{m}$ up the slopes of the Mauna Loa [volcano](https://one-course.com/books/earth/1/en/chapter/8-volcanoes-and-earthquakes-a-first-look#def-g4-volcanoes-earthquakes-first-look-volcano), in Hawaii. In 1959, its yearly average was $316\,\mathrm{ppm}$; by 2025, it had reached $427\,\mathrm{ppm}$, far above the $300\,\mathrm{ppm}$ that it never exceeded in 800 000 years of ice. It rises faster and faster: by less than $1\,\mathrm{ppm}$ a year in the 1960s, by more than $2.5\,\mathrm{ppm}$ a year in the last ten years.

![The carbon dioxide of the air at Mauna Loa, Hawaii, yearly means 1959–2025 (NOAA Global Monitoring Laboratory and Scripps Institution of Oceanography). The dashed line at 300\, ppm is about the highest level found in 800 000 years of Antarctic ice.](https://one-course.com/images/onecourse/chapters/earth-1/g9-climate-past-and-present/fig-9d38b24bbad4.svg)

*The carbon dioxide of the air at Mauna Loa, Hawaii, yearly means 1959–2025 (NOAA Global Monitoring Laboratory and Scripps Institution of Oceanography). The dashed line at $300\,\mathrm{ppm}$ is about the highest level found in 800 000 years of Antarctic ice.*

**Figures as of 2025.**

The yearly average carbon dioxide at Mauna Loa was $427.35\,\mathrm{ppm}$ in 2025. In the NASA record, the warmest year since 1880 was 2024, with an anomaly of $1.28{}^{\circ}\mathrm{C}$ compared with 1951–1980.

The [sea](https://one-course.com/books/earth/1/en/chapter/3-water-on-earth#def-g2-water-on-earth-ocean) is rising too. Since 1993, satellites have measured the height of the [sea](https://one-course.com/books/earth/1/en/chapter/3-water-on-earth#def-g2-water-on-earth-ocean) surface all over the [globe](https://one-course.com/books/earth/1/en/chapter/6-the-globe-continents-and-oceans#def-g3-continents-and-oceans-globe): the trend line of their record rises by about $3.2\,\mathrm{mm}$ a year, about $10\,\mathrm{cm}$ in thirty years. Two things raise the [sea](https://one-course.com/books/earth/1/en/chapter/3-water-on-earth#def-g2-water-on-earth-ocean): water that warms expands, and melting ice on land adds water to the [ocean](https://one-course.com/books/earth/1/en/chapter/3-water-on-earth#def-g2-water-on-earth-ocean). And the ice is shrinking: [mountain](https://one-course.com/books/earth/1/en/chapter/2-landscapes-around-us#def-g1-landscapes-around-us-landform) [glaciers](https://one-course.com/books/earth/1/en/chapter/27-ice-on-earth#def-g8-ice-on-earth-glacier) almost everywhere are retreating, and the Arctic’s summer [sea ice](https://one-course.com/books/earth/1/en/chapter/27-ice-on-earth#def-g8-ice-on-earth-sea-ice) has lost almost half of its extent since 1979 ([Chapter 27](https://one-course.com/books/earth/1/en/chapter/27-ice-on-earth#ch-g8-ice-on-earth)).

![The global mean sea level measured by satellites, yearly means 1993–2024, compared with a reference level, and its trend line (NOAA Laboratory for Satellite Altimetry).](https://one-course.com/images/onecourse/chapters/earth-1/g9-climate-past-and-present/fig-5b486aea67b8.svg)

*The global mean [sea level](https://one-course.com/books/earth/1/en/chapter/9-the-physical-map-of-the-world#def-g4-world-physical-map-altitude) measured by satellites, yearly means 1993–2024, compared with a reference level, and its trend line (NOAA Laboratory for Satellite Altimetry).*

## 28.4 Climate change and its causes

**Definition 28.7 (Climate change).**

*Climate change* is a change in the [climate](https://one-course.com/books/earth/1/en/chapter/11-weather-and-climate#def-g5-weather-and-climate-climate) of the Earth, or of a region, that lasts for decades or longer: a change of its average temperature, [rain](https://one-course.com/books/earth/1/en/chapter/7-clouds-rain-and-snow#def-g4-clouds-rain-snow-precipitation), winds or ice, not just one unusual season.

The [climate](https://one-course.com/books/earth/1/en/chapter/11-weather-and-climate#def-g5-weather-and-climate-climate) has always changed, as the ice cores show. What is new is the speed of today’s change, and its cause. Scientists from all over the world regularly assess what has been published on the [climate](https://one-course.com/books/earth/1/en/chapter/11-weather-and-climate#def-g5-weather-and-climate-climate), in the reports of the Intergovernmental Panel on Climate Change (IPCC). The reports weigh how sure each statement is, with words chosen with care.

In these reports, each of the words below has a fixed meaning: the chances in 100 that the statement is true.

| *virtually certain* | 99 to 100 | *likely* | 66 to 100 |
| --- | --- | --- | --- |
| *extremely likely* | 95 to 100 | *about as likely as not* | 33 to 66 |
| *very likely* | 90 to 100 | *unlikely* | 0 to 33 |

A few statements carry none of these words: they are given as facts, such as “it is *unequivocal*”. When you read a news story about the [climate](https://one-course.com/books/earth/1/en/chapter/11-weather-and-climate#def-g5-weather-and-climate-climate), look for these words, and notice which ones the story keeps and which it drops.

The assessment published in 2021 states the following.

- It is *unequivocal* that human influence has warmed the atmosphere, the [ocean](https://one-course.com/books/earth/1/en/chapter/3-water-on-earth#def-g2-water-on-earth-ocean) and the land.
- The global surface temperature of 2011–2020 was about $1.1{}^{\circ}\mathrm{C}$ higher than in 1850–1900, and each of the last four decades was warmer than any decade before it since 1850.
- The *likely* human-caused warming from 1850–1900 to 2010–2019 is 0.8 to $1.3{}^{\circ}\mathrm{C}$ , with a best estimate of $1.07{}^{\circ}\mathrm{C}$ : about the whole of the observed warming. Natural causes together changed the temperature by only $-0.1$ to $+0.1{}^{\circ}\mathrm{C}$ .
- The carbon dioxide of the air in 2019 was higher than at any time in at least two million years ( *high confidence* ); it had risen by 47 % since 1750.
- Human influence is *very likely* the main cause of the retreat of [glaciers](https://one-course.com/books/earth/1/en/chapter/27-ice-on-earth#def-g8-ice-on-earth-glacier) since the 1990s and of the shrinking of the Arctic [sea ice](https://one-course.com/books/earth/1/en/chapter/27-ice-on-earth#def-g8-ice-on-earth-sea-ice) ; and *very likely* the main cause of the rise of the [sea](https://one-course.com/books/earth/1/en/chapter/3-water-on-earth#def-g2-water-on-earth-ocean) since at least 1971.

**History — Charles David Keeling’s curve.**

In March 1958, a young chemist of the Scripps Institution of Oceanography, Charles David Keeling, began measuring the carbon dioxide of the air on Mauna Loa, high above the [sea](https://one-course.com/books/earth/1/en/chapter/3-water-on-earth#def-g2-water-on-earth-ocean) and far from any town. His measurements have gone on ever since: they are the longest record of carbon dioxide measured directly in the air, and the curve they draw, rising year after year, carries his name, the *Keeling curve*.

Why does the warming follow the carbon dioxide? Burning coal, oil and gas releases carbon dioxide; more carbon dioxide in the air means that more of the infrared light given off by the surface is absorbed and sent back down, and the surface warms. Water vapour, methane and the other greenhouse gases add to the effect. The past and the present agree: in the ice cores as in today’s records, the Earth’s temperature and its carbon dioxide rise and fall together.

## 28.5 Exercises

**Exercise 28.1 ★.**

(a) What would the average temperature of the Earth’s surface be without the greenhouse effect? (b) What is it with it? (c) By how many degrees does the greenhouse effect warm the surface? (d) Name two greenhouse gases.

**Solution of Exercise 28.1.**

(a) About $-19{}^{\circ}\mathrm{C}$. (b) About $15{}^{\circ}\mathrm{C}$. (c) $15 - (-19) = 34$: about $34{}^{\circ}\mathrm{C}$. (d) Two of: carbon dioxide, water vapour, methane.

**Exercise 28.2 ★.**

[Weather](https://one-course.com/books/earth/1/en/chapter/1-watching-the-weather#def-g1-watching-the-weather-weather) or [climate](https://one-course.com/books/earth/1/en/chapter/11-weather-and-climate#def-g5-weather-and-climate-climate)? (a) It rained all day yesterday. (b) Summers in this region are hot and dry. (c) The 2010s were warmer than the 1980s worldwide. (d) Next week will be cold.

**Solution of Exercise 28.2.**

(a) [Weather](https://one-course.com/books/earth/1/en/chapter/1-watching-the-weather#def-g1-watching-the-weather-weather). (b) [Climate](https://one-course.com/books/earth/1/en/chapter/11-weather-and-climate#def-g5-weather-and-climate-climate). (c) [Climate](https://one-course.com/books/earth/1/en/chapter/11-weather-and-climate#def-g5-weather-and-climate-climate) (and [climate change](#def-g9-climate-past-and-present-climate-change): a change over decades). (d) [Weather](https://one-course.com/books/earth/1/en/chapter/1-watching-the-weather#def-g1-watching-the-weather-weather).

**Exercise 28.3 ★.**

Look at the photograph of the ice core section. (a) How long is the section, and how many years of [snow](https://one-course.com/books/earth/1/en/chapter/7-clouds-rain-and-snow#def-g4-clouds-rain-snow-precipitation) does it hold? (b) Find the average thickness of one year’s layer, in centimetres. (c) Why is the deepest ice of an [ice sheet](https://one-course.com/books/earth/1/en/chapter/27-ice-on-earth#def-g8-ice-on-earth-ice-sheet) the oldest?

**Solution of Exercise 28.3.**

(a) $19\,\mathrm{cm}$, eleven years. (b) $19 \div 11 \approx 1.7\,\mathrm{cm}$. (c) Each year’s [snow](https://one-course.com/books/earth/1/en/chapter/7-clouds-rain-and-snow#def-g4-clouds-rain-snow-precipitation) falls on top of the [snow](https://one-course.com/books/earth/1/en/chapter/7-clouds-rain-and-snow#def-g4-clouds-rain-snow-precipitation) of the years before, so the deeper a layer, the earlier it fell.

**Exercise 28.4 ★.**

A town’s average July temperature over 1991–2020 is $21.0{}^{\circ}\mathrm{C}$. Give the [temperature anomaly](#def-g9-climate-past-and-present-anomaly) of a July averaging (a) $22.4{}^{\circ}\mathrm{C}$; (b) $20.3{}^{\circ}\mathrm{C}$; (c) $21.0{}^{\circ}\mathrm{C}$. (d) What does a negative anomaly mean?

**Solution of Exercise 28.4.**

(a) $22.4 - 21.0 = +1.4{}^{\circ}\mathrm{C}$. (b) $20.3 - 21.0 =
-0.7{}^{\circ}\mathrm{C}$. (c) $0{}^{\circ}\mathrm{C}$. (d) That month was colder than its 1991–2020 average.

**Exercise 28.5 ★★.**

Use the bar chart of the decades. (a) Which decades were colder than the 1951–1980 average? (b) Read the anomaly of the 1980s and of the 2010s. (c) By how much did the anomaly grow between these two decades? (d) Is the rise steady from one decade to the next over the whole record?

**Solution of Exercise 28.5.**

(a) The 1880s to the 1930s, the 1950s and the 1960s. (b) About $0.25{}^{\circ}\mathrm{C}$ and $0.80{}^{\circ}\mathrm{C}$. (c) $0.80 -
0.25 = 0.55{}^{\circ}\mathrm{C}$. (d) No: the decades from the 1880s to the 1910s got a little colder, and the 1950s were a little colder than the 1940s; but since the 1970s each decade has been warmer than the one before.

**Exercise 28.6 ★★.**

At Mauna Loa, the yearly average carbon dioxide was $315.98\,\mathrm{ppm}$ in 1959, $324.62\,\mathrm{ppm}$ in 1969, $401.01\,\mathrm{ppm}$ in 2015 and $427.35\,\mathrm{ppm}$ in 2025. (a) What was the average rise per year from 1959 to 1969? (b) From 2015 to 2025? (c) How many times faster was the rise in the second period? (d) By how many percent did the carbon dioxide grow from 1959 to 2025?

**Solution of Exercise 28.6.**

(a) $(324.62 - 315.98) \div 10 \approx 0.86\,\mathrm{ppm}$ a year. (b) $(427.35 - 401.01) \div 10 \approx 2.63\,\mathrm{ppm}$ a year. (c) $2.63
\div 0.86 \approx 3.1$: about three times faster. (d) $(427.35 - 315.98)
\div 315.98 \times 100 \approx 35~\%$.

**Exercise 28.7 ★★.**

Use the 800 000-year record. (a) Write 800 000 years in scientific notation. (b) About how long ago was the last time it was as warm as today, before our own warm time? (c) What carbon dioxide level did the air hold at that time? (d) Do the temperature and the carbon dioxide rise and fall at the same times?

**Solution of Exercise 28.7.**

(a) $8 \times 10^5$ years. (b) About $120\,000$ to $130\,000$ years ago: the temperature curve rises above 0 there. (c) About $275\,\mathrm{ppm}$. (d) Yes: the peaks and troughs of the two curves come at the same times.

**Exercise 28.8 ★★.**

The [sea](https://one-course.com/books/earth/1/en/chapter/3-water-on-earth#def-g2-water-on-earth-ocean) rises by about $3.2\,\mathrm{mm}$ a year. (a) How much is that in 10 years, in centimetres? (b) If it kept this rate, how much would it rise between 2025 and 2100? (c) Name two reasons why the [sea](https://one-course.com/books/earth/1/en/chapter/3-water-on-earth#def-g2-water-on-earth-ocean) rises. (d) Does the melting of the Arctic [sea ice](https://one-course.com/books/earth/1/en/chapter/27-ice-on-earth#def-g8-ice-on-earth-sea-ice) raise the [sea](https://one-course.com/books/earth/1/en/chapter/3-water-on-earth#def-g2-water-on-earth-ocean)? Explain.

**Solution of Exercise 28.8.**

(a) $3.2 \times 10 = 32\,\mathrm{mm} = 3.2\,\mathrm{cm}$. (b) $2100 - 2025 =
75$ years; $75 \times 3.2 = 240\,\mathrm{mm}$, about $24\,\mathrm{cm}$ (and more if the rise speeds up). (c) [Sea](https://one-course.com/books/earth/1/en/chapter/3-water-on-earth#def-g2-water-on-earth-ocean) water expands as it warms; ice on land melts and its water runs into the [sea](https://one-course.com/books/earth/1/en/chapter/3-water-on-earth#def-g2-water-on-earth-ocean). (d) No: [sea ice](https://one-course.com/books/earth/1/en/chapter/27-ice-on-earth#def-g8-ice-on-earth-sea-ice) already floats on the [sea](https://one-course.com/books/earth/1/en/chapter/3-water-on-earth#def-g2-water-on-earth-ocean), so its melting does not raise it.

**Exercise 28.9 ★★.**

In the IPCC words, how many chances in 100, at least, does each statement have of being true? (a) “It is *very likely*…” (b) “It is *likely*…” (c) “It is *virtually certain*…” (d) A newspaper writes “scientists are sure that” about a statement the report calls *likely*. What is wrong?

**Solution of Exercise 28.9.**

(a) 90. (b) 66. (c) 99. (d) *Likely* means at least 66 chances in 100, not certainty: the newspaper makes the statement sound surer than the scientists said.

**Exercise 28.10 ★★.**

A friend says: “This winter was the coldest in ten years where I live, so the Earth is not warming.” Explain, using the words *[weather](https://one-course.com/books/earth/1/en/chapter/1-watching-the-weather#def-g1-watching-the-weather-weather)*, *[climate](https://one-course.com/books/earth/1/en/chapter/11-weather-and-climate#def-g5-weather-and-climate-climate)* and *global*, why this argument does not hold.

**Solution of Exercise 28.10.**

One cold winter in one place is *[weather](https://one-course.com/books/earth/1/en/chapter/1-watching-the-weather#def-g1-watching-the-weather-weather)*: it says what happened during a few months at one spot. [Global warming](#def-g9-climate-past-and-present-global-warming) is a change of *[climate](https://one-course.com/books/earth/1/en/chapter/11-weather-and-climate#def-g5-weather-and-climate-climate)*, measured over decades, and *global*: it is the average over the whole Earth. A cold winter here can happen while the Earth as a whole is warmer than before, and the decade averages keep rising.

**Exercise 28.11 ★★★.**

At the coldest of the last [ice age](https://one-course.com/books/earth/1/en/chapter/27-ice-on-earth#def-g8-ice-on-earth-ice-age), about $2 \times 10^4$ years ago, the air held about $190\,\mathrm{ppm}$ of carbon dioxide; just before the industrial era, about $280\,\mathrm{ppm}$; in 2025, about $427\,\mathrm{ppm}$. (a) How much did the carbon dioxide rise from the [ice age](https://one-course.com/books/earth/1/en/chapter/27-ice-on-earth#def-g8-ice-on-earth-ice-age) to the industrial era, and in how many years? (b) How much did it rise from the industrial era to 2025? Take 1750 as the start of the industrial era. (c) Compare the two rises: in size, and in average rate per year, using scientific notation. (d) What does the IPCC say about the carbon dioxide level of today compared with the past?

**Solution of Exercise 28.11.**

(a) $280 - 190 = 90\,\mathrm{ppm}$, in about $2 \times 10^4$ years. (b) $427
- 280 = 147\,\mathrm{ppm}$, in $2025 - 1750 = 275$ years. (c) The second rise is larger (147 against 90 ppm). Rates: $90 \div (2 \times 10^4) =
4.5 \times 10^{-3}$ ppm a year, against $147 \div 275 \approx 5.3 \times
10^{-1}$ ppm a year: about 120 times faster. (d) That in 2019 it was higher than at any time in at least two million years (high confidence).

**Exercise 28.12 ★★★.**

The IPCC assessment gives the observed warming from 1850–1900 to 2010–2019 as about $1.06{}^{\circ}\mathrm{C}$, and the human-caused warming as *likely* 0.8 to $1.3{}^{\circ}\mathrm{C}$ (best estimate $1.07{}^{\circ}\mathrm{C}$); the natural causes together are given as $-0.1$ to $+0.1{}^{\circ}\mathrm{C}$. (a) Compare the best estimate of the human-caused warming with the observed warming. (b) Could natural causes alone explain the observed warming? Explain. (c) What does *likely* mean in this sentence?

**Solution of Exercise 28.12.**

(a) They are almost equal: 1.07 against $1.06{}^{\circ}\mathrm{C}$. The best estimate says that human influence explains about the whole of the observed warming. (b) No: the natural causes together changed the temperature by $0.1{}^{\circ}\mathrm{C}$ at most, ten times less than the observed warming. (c) At least 66 chances in 100 that the human-caused warming lies between 0.8 and $1.3{}^{\circ}\mathrm{C}$.

## 28.6 Problem: The planet’s thermometer

**Problem 28.1.**

Weekend problem — the warming of the Earth is worked out from the NASA temperature record, then set beside the carbon dioxide and the sea

The table gives the global [temperature anomaly](#def-g9-climate-past-and-present-anomaly) of the NASA record (compared with the 1951–1980 average) for some groups of years, and other records of the chapter.

| mean anomaly, 1880–1899 | $-0.22{}^{\circ}\mathrm{C}$ |
| --- | --- |
| mean anomaly, 1951–1980 | $0.00{}^{\circ}\mathrm{C}$ |
| mean anomaly, 2015–2024 | $0.98{}^{\circ}\mathrm{C}$ |
| carbon dioxide at Mauna Loa, 1959 / 2025 | $316\,\mathrm{ppm}$ / $427\,\mathrm{ppm}$ |
| [sea level](https://one-course.com/books/earth/1/en/chapter/9-the-physical-map-of-the-world#def-g4-world-physical-map-altitude) trend from satellites, since 1993 | $3.2\,\mathrm{mm}$ per year |

**Part I — The decades.**

1. Why is the anomaly of 1951–1980 exactly zero?
2. Was 1880–1899 warmer or colder than 1951–1980? By how much?
3. Was 2015–2024 warmer or colder than 1951–1980? By how much?
4. Compute the warming of 2015–2024 compared with 1880–1899.

**Part II — The carbon dioxide.**

5. By how many ppm did the carbon dioxide rise between 1959 and 2025?
6. By what percentage of its 1959 value?
7. In the ice cores, the carbon dioxide never went above about $300\,\mathrm{ppm}$ in 800 000 years. By how much does the 2025 value exceed it?
8. Explain in two sentences how more carbon dioxide in the air warms the surface.

**Part III — The sea.**

9. How much has the [sea](https://one-course.com/books/earth/1/en/chapter/3-water-on-earth#def-g2-water-on-earth-ocean) risen from 1993 to 2025 at the rate of the table, in centimetres?
10. Name the two causes of this rise.
11. The IPCC gives the warming of 2011–2020 compared with 1850–1900 as about $1.09{}^{\circ}\mathrm{C}$ . Is your answer to question 4 of the same size? Give one reason why the two numbers differ a little.
12. Write the sentence a science journalist could print: “Since the end of the 19th century, the Earth’s surface has warmed by about …”

**Solution of Problem 28.1.**

**1.** Because it is the reference period: the anomalies are measured from its own average.

**2.** Colder, by $0.22{}^{\circ}\mathrm{C}$.

**3.** Warmer, by $0.98{}^{\circ}\mathrm{C}$.

**4.** $0.98 - (-0.22) = 1.20{}^{\circ}\mathrm{C}$.

**5.** $427 - 316 = 111\,\mathrm{ppm}$.

**6.** $111 \div 316 \times 100 \approx 35~\%$.

**7.** $427 - 300 = 127\,\mathrm{ppm}$.

**8.** Carbon dioxide absorbs part of the infrared light given off by the warm surface and sends part of it back down. With more of it in the air, more energy comes back to the surface, which warms.

**9.** $2025 - 1993 = 32$ years; $32 \times 3.2 \approx
102\,\mathrm{mm}$, about $10\,\mathrm{cm}$.

**10.** The warming [sea](https://one-course.com/books/earth/1/en/chapter/3-water-on-earth#def-g2-water-on-earth-ocean) water expands; ice on land ([glaciers](https://one-course.com/books/earth/1/en/chapter/27-ice-on-earth#def-g8-ice-on-earth-glacier), [ice sheets](https://one-course.com/books/earth/1/en/chapter/27-ice-on-earth#def-g8-ice-on-earth-ice-sheet)) melts into the [sea](https://one-course.com/books/earth/1/en/chapter/3-water-on-earth#def-g2-water-on-earth-ocean).

**11.** Yes, the same size: about $1.2{}^{\circ}\mathrm{C}$ against $1.09{}^{\circ}\mathrm{C}$. They differ a little because the periods are not the same (1880–1899 instead of 1850–1900; 2015–2024 instead of 2011–2020: the more recent years were warmer), and because the IPCC combines several records, not only the NASA one.

**12.** “Since the end of the 19th century, the Earth’s surface has warmed by about **$1.2{}^{\circ}\mathrm{C}$**.”