Every year, at a mountaintop observatory on Hawaii, the carbon dioxide in the air goes up and down like breathing. It peaks in May and falls through the summer, by about 7 parts per million, as the forests and fields of the Northern Hemisphere inhale. Then it climbs again through the northern winter as they decay. That wiggle is the whole land biosphere, measured from the middle of the Pacific.
Now look at where the wiggle sits from year to year. The annual average at Mauna Loa was 315.98 ppm in 1959 and 427.35 ppm in 2025 (NOAA). The breathing is still there. It is riding up a staircase. One graph holds two Earth-system ideas: fast cycles that repeat, and slow changes that accumulate.
An Earth-systems course teaches you to read that graph and everything like it. This piece is the entry point to the Environmental Science major: spheres, cycles, deep time, and the carbon cycle across timescales. The physics of the greenhouse effect itself is in The Physics of the Greenhouse Effect (13/15), a good first read; here we look at the machinery around it.
An Earth-system scientist sees the world as a set of bathtubs. Each reservoir is a stock (the water in the ocean, the carbon in soils). Each pipe is a flux (evaporation, photosynthesis). The one number that tells you how a bathtub behaves is the residence time, the average time an atom stays in the pool.
For water, the numbers are striking. About 505,000 km³ of water evaporate and fall again each year. The atmosphere holds only about 12,900 km³ at a time, so a water molecule spends roughly nine days there. The ocean holds about 1,338 million km³ and loses about 434,000 km³ a year to evaporation, which gives roughly 3,000 years (published values run to about 3,200). That is why weather changes in days and the deep ocean changes over millennia.
Sliders are logarithmic (each step is a power of ten). Units are the same for S and F (km³ and km³ per year for water). Water values are rounded published figures (Wikipedia, "Water cycle", and the USGS value for the atmosphere); the response curve is the standard one-box model 1 − e−t/τ.
With the default setting (the atmosphere's water), a rise in inflow is almost fully absorbed within a month. Slide the stock up to the ocean's and the same change takes the better part of ten thousand years to settle. This one idea explains why a spilled solvent clears from a stream in days but can linger in a lake for decades, and why fast reservoirs react and slow ones remember.
Two more words matter. A negative feedback pushes a system back toward where it was (a warmer ocean radiates more heat to space). A positive feedback pushes it further (melting ice exposes dark water that absorbs more sunlight). Stable systems have mostly negative feedbacks; the interesting question is what happens when a slow reservoir is pushed past the point where one loop reverses.
Everything starts with sunlight arriving unevenly. The tropics face the Sun nearly head-on all year. The poles get it at a slant, and not at all for months. You can calculate the sunlight at the top of the atmosphere from three things: the solar constant (about 1,361 W/m²), the tilt of Earth's axis (23.44°), and the day of the year.
Top-of-atmosphere insolation with S0 = 1361 W/m², obliquity 23.44°, a circular-orbit declination plus the Earth–Sun distance term; good to a few percent. It ignores clouds, reflection and the atmosphere.
Two things surprise nearly everyone. On the June solstice the North Pole receives about 524 W/m² a day, more than the equator's 385, because the Sun never sets. And the yearly average still runs from about 416 W/m² at the equator to about 168 W/m² at the North Pole. The poles are cold because the year is mostly night and because snow reflects most of what does arrive, not because summer is weak.
That gradient drives the circulation. Heat moves poleward in the air and in the ocean; textbook estimates put the two together at roughly five petawatts across the mid-latitudes. In the tropics, warm air rises near the equator (the Intertropical Convergence Zone, a belt of towering storms), spreads out, and sinks at about 30° north and south. Falling air is dry, which is why so many deserts sit near that latitude: the Sahara, the Kalahari, the Atacama, Australia's interior. The rain belt follows the Sun north and south through the year. That seasonal swing is a monsoon, and it feeds more than a billion people: India's summer rains, the West African monsoon over the Sahel, and the rains of the Amazon and Congo basins. The Himalaya and Tibetan plateau are called the world's "water towers" because snow and glacier melt feed the great rivers of South and East Asia; how many people depend on them depends on how you count (a figure of well over a billion appears in regional assessments).
Monsoons are not fixed. The same slow orbital changes that nudge ice ages also moved the rain belt: the Sahara was wet and green, with lakes, until about 5,500 years ago (the African Humid Period). The IPCC also finds that Northern Hemisphere aerosol pollution partly cut monsoon rain from the 1950s to the 1980s, with the Sahel and South Asia as examples, and that rain has partly recovered since (medium confidence). Hold that thought: in the Earth system, even air-quality laws can move rainfall.
Water has an unusually high heat capacity, and there is a lot of it. The whole atmosphere has the same heat capacity as the top 3.5 metres of the ocean. So when the planet gains heat, almost all of it goes into the sea. The IPCC (AR6, 2021) puts the ocean's share of the extra heat stored in the climate system, 1971 to 2018, at 91%; land warming, ice melt and the air took about 5%, 3% and 1%. The air temperature we feel is the thin top of a very large heat store.
That heat store has a clock. Surface water is mixed to depths of tens to hundreds of metres within years. Dense, cold, salty water sinks in the North Atlantic and around Antarctica and works its way along the deep ocean in a circuit of roughly a thousand years. Warm the surface, and the deep ocean takes centuries to catch up. This lag is why the planet is committed to more warming than has happened yet (the IPCC calls ocean warming "irreversible on centennial to millennial time scales").
Earth's area 5.101×1014 m², ocean 71% of it, seawater 1025 kg/m³ and 3990 J/kg/K, air 5.15×1018 kg at 1004 J/kg/K. The default 0.89 W/m² is Forster et al.'s estimate for 2005–2024; the share is the IPCC's 91%. A uniform layer is a simplification: real warming is concentrated near the surface.
With the defaults, ten years of imbalance adds about 143 zettajoules, and a 2,000 m layer taking 91% of it warms by only about 0.04 °C. A small number on a thermometer is an enormous quantity of heat. Ice is the other heat bank. Greenland's ice would raise the sea about 7 metres if it all melted, and Antarctica's about 58 metres; neither is expected to vanish soon, but the sea has already risen about 0.20 m from 1901 to 2018 (IPCC), faster each decade: 1.3 mm a year early in the century, 3.7 mm a year in 2006 to 2018. Roughly half of the 1971–2018 rise came from the water expanding as it warmed, and half from melting land ice.
The solid Earth is a reservoir too, and the slowest. Plates of crust move a few centimetres a year, about as fast as your fingernails grow. In 1912 Alfred Wegener proposed continental drift, and it was rejected for lack of a mechanism; plate tectonics, with sea-floor spreading as the mechanism, became the mainstream view in the 1960s.
Tectonics matters for climate because it runs a carbon cycle of its own. Volcanoes and ocean ridges release CO₂ from the interior. Rain, which is slightly acidic from dissolved CO₂, dissolves silicate rock and carries calcium and bicarbonate to the sea, where shellfish and plankton turn it into carbonate that sinks and is buried. The net effect removes CO₂ from the air over hundreds of thousands of years, and the process runs faster when the planet is warmer and wetter. That is a negative feedback with a very long delay, and it is the main reason the planet has stayed liveable for billions of years while the Sun grew about 30% brighter.
It is also why volcanoes are not the cause of today's rise. Volcanic CO₂ is less than 1% of the CO₂ from burning fossil fuels; human emissions of roughly 40 Gt CO₂ a year dwarf the geological outgassing. The rock cycle is a slow thermostat, much too slow to cool a planet that is being warmed in decades.
The Earth is about 4.54 billion years old. That number defeats intuition, so geologists squeeze it into a year. Pick an event and see when it lands.
Dates in million years ago are standard geological-timescale values and rounded estimates (earliest life and the Snowball episodes are the least precise). The calendar maps 4,540 million years onto 365 days.
On that calendar, animals with shells arrive in mid-November, dinosaurs die out on 26 December, and Homo sapiens turns up in the last 40 minutes of 31 December. All of recorded history fits in the last minute. The point of the exercise is not to be impressed. It is to notice what the planet has already done. Oxygen from early photosynthesis rusted the oceans and then filled the air (the Great Oxidation, about 2.4 billion years ago). Ice reached the tropics in the Cryogenian "Snowball" episodes. Volcanic eruptions on a huge scale are linked to the end-Permian extinction, the worst the fossil record shows. About 56 million years ago a burst of carbon into the air, the Palaeocene–Eocene Thermal Maximum, warmed the planet by around 5 °C or more for tens of thousands of years; it is the best natural analogue for rapid carbon release, though it appears to have been much slower than the present rate.
The last 2.6 million years are an ice-age world. The Serbian scientist Milutin Milanković worked out that wobbles in Earth's orbit and tilt change how sunlight is spread across latitudes and seasons, with beats of about 23,000, 41,000 and 100,000 years. Those wobbles are small, so something must amplify them, and ice cores show what: CO₂ moved between roughly 180 ppm in the cold phases and 280 ppm in the warm ones. Orbit sets the beat; ice, ocean and carbon amplify it. The IPCC notes that the most recent decade was warmer than the warmest multi-century period of the present interglacial, about 6,500 years ago, and that CO₂ in 2019 was higher than at any time in at least 2 million years (high confidence).
Carbon is the best single teacher of how reservoirs link up, because it moves on every timescale at once. Round figures for the main pools, in gigatonnes of carbon (GtC), are below. To turn carbon into carbon dioxide, multiply by 3.664.
| Pool | GtC (approx.) | Turns over in |
|---|---|---|
| Atmosphere (about 427 ppm) | about 910 (720 in 2000) | years, with a long tail |
| Land plants and soils | about 2,000 to 2,500 | years to centuries |
| Surface ocean | about 670 | years |
| Deep ocean | about 36,700 | centuries to millennia |
| Fossil fuels (resources) | about 4,100; about 450 burned by 2020 | made over millions of years |
| Sedimentary rock | tens of millions | hundreds of millions of years |
Fast: plants take up carbon and release it again, giving the seasonal wiggle. Slower: the surface ocean exchanges with the air within a year or so and mixes into the deep over centuries, and chemistry buffers it (extra CO₂ dissolving makes the sea more acidic, which the IPCC says is virtually certain to be mainly caused by human CO₂). Slowest of all: weathering and burial over hundreds of thousands of years, and tectonics over hundreds of millions.
Annual means: NOAA Global Monitoring Laboratory, Mauna Loa (data downloaded November 2026). The monthly lines in the lower chart are the annual mean plus the average 2015–2025 seasonal shape, a reconstruction and not the measured months. Charles David Keeling began the record at Mauna Loa in 1958.
Slide to the start of the record: 316 ppm in 1959, rising about 0.9 ppm a year in the 1960s, and about 2.4 ppm a year in the 2010s (annual means, 1960 to 1970 and 2010 to 2020). Now ask the bookkeeping question: of every tonne emitted, where does it go? Human CO₂ in 2024 was about 42 Gt (about 38.2 from fossil fuels and industry plus about 4.2 from land-use change; Forster et al., 2025). The air gained 3.76 ppm that year, which is 3.76 × 2.13 GtC per ppm × 3.664 = about 29 Gt CO₂. So about 69% stayed in the air in 2024, a high year; in 2025 the global rise fell to 2.06 ppm while energy-related emissions rose about 1.1% (Energy Institute). A swing that large with roughly flat emissions says the sinks changed, not the emissions. Land plants take up less in hot and dry years (2024 had a strong El Niño early in the year).
Conversion 1 ppm = 2.13 GtC = 7.80 Gt CO₂. Rise in the air: NOAA global growth, 2024 and 2025; emissions are 2024's (Forster et al.), and 2025's total was not final when this was written, so the "2025" chip holds emissions at 2024's. The decay curve is the four-term fit of Joos et al. (2013), 0.2173 + 0.2240e−t/394.4 + 0.2824e−t/36.54 + 0.2763e−t/4.304.
The second chart is the key lesson of the carbon cycle. Unlike a water molecule, a pulse of CO₂ does not simply leave with a single residence time. It spreads through ocean and land on several clocks at once, so roughly 40% of a pulse is still in the air after a century, a little over a quarter after five centuries, and about 22% is left for the very long tail that only rock weathering clears. Most of the carbon we burn is a loan with a very long repayment. That is the answer to the question "why does it matter if the sinks take up half?" The half they take is spread across the centuries.
Numbers here describe how the system works; they are not forecasts, and the 2024 and 2025 figures are single years.
The Earth system is a set of reservoirs joined by flows. Size divided by flux tells you how fast any pool moves; sunlight's unequal spread drives air and ocean; the ocean holds almost all the extra heat; and carbon moves on every clock from the seasons to the rock cycle. Learn the vocabulary of stocks, fluxes, residence times and feedbacks and later courses become applications of it.
Try this: find any environmental figure in the news (litres of water, tonnes of waste, a pollutant in a lake) and ask what the pool is, what flux feeds and drains it, and what their ratio says about how long the effect would last.
Sources. IPCC AR6 WGI Summary for Policymakers (2021): 91% ocean heat share, sea-level figures, CO₂ at 2 million years, monsoon and aerosol statement, confidence language. NOAA Global Monitoring Laboratory, Mauna Loa annual and monthly means and global growth rates (downloaded November 2026). Forster et al., Indicators of Global Climate Change 2024, Earth System Science Data 17 (2025), for emissions and the 0.89 W/m² energy imbalance. Energy Institute, Statistical Review of World Energy 2026 (via DieselNet summary), for the 2025 emissions change. Water and carbon pools: Wikipedia, "Water cycle" and "Carbon cycle". Impulse response: Joos et al., Atmospheric Chemistry and Physics 13 (2013). Deep-time dates are standard geological-timescale values. All interactive numbers were computed in node.