Carrying Capacity of the Planet

More and more humans

Human population history

Population (in billions) 1 2 3 4 5 6 7 8 9
Year 1804 1927 1960 1974 1987 1999 2012 2025 2040
Years elapsed 123 33 14 13 12 13 13 15

Klein et al (2010) estimation of world population

Cropland settlement across time Europe

Cropland settlement across time World

The Great Acceleration in the Anthropocene

Anthropocene: The Great Acceleration

Initially published in 2004, following McNeil “Something New Under the Sun: An Environmental History of the Twentieth-Century World”, accounting for quantitative history of human-environment interaction. Updated in 2015, data up to 2010.

Anthropocene (Paul Crutzen, 2000’s, earlier occurrences in 1938, 1960’s) is a geological period identified as a layer specific to human activity.

Layer of radioactive material after nuclear tests and layer of pollution can be measured (stratigraphy).

Starting date of anthropocene has been proposed to be 1945, first nuclear explosion (Trinity, test before Hiroshima and Nagasaki).

We’ll talk later of W.F. Ruddiman’s early anthropocene hypothesis

The Great Acceleration: causes


  • Population increases
    • Expected to stabilize to 10b people by 2050
    • Confidence interval large [8b,12b], revised lately downward
    • Date of plateau unsure, could be 2100
  • Main uncertainties
    • Life expectancy, demographic transition, impact of cure&illness
    • Impact of climate change and climate induced violence
  • GDP per head accelerates
    • Main driver, great convergence
    • 1b people in developed countries
    • 3b peoples in rapidly growing countries
    • 3b in emerging countries
    • 3b more to come in the next decades
  • Main trends
    • 1950 acceleration
    • Globalisation inducing a new acceleration
    • Changing composition
    • Some variables have started to plateau

The Great Acceleration: consequences



  • Consequences on the global ecosystem are massive
    • Emissions of GHG [CO2, CH4] induce global warming, and climate change
    • But also cause acidification of oceans
    • Nitrogen and phosphorus open loops are adding stress
    • A rapidly changing environment, in amplitude and speed rarely seen in the past is in “global mass extinction” scope


  • Risks are to cross tipping point
    • Irreversible change
    • Loss of environmental services
    • Fall in support capacity of environment
    • Agriculture, infrastructure, ecosystems can collapse
    • Human life support compromised

Population projections (UN 2017 and 2024)

World 2017

World 2024




  • 1.75 children per women in median (total fertility rate)
  • 10 billion people in 2100
  • life expectancy of 82 in 2100

High Income Countries 2017

High Income Countries 2024




  • 1.5 children per women in median (total fertility rate)
  • 3 million net migration per year (over 1.2 billion people in 2100, .25%/y)
  • life expectancy of +90 in 2100

Middle Income Countries 2017

Middle Income Countries 2024




  • 1.75 children per women in median (total fertility rate)
  • -2 million net migration per year (over 6.7 billion people in 2100, -.03%/y)
  • life expectancy of 82 in 2100

Low Income Countries 2017

High Income Countries 2024




  • 1.95 children per women in median (total fertility rate)
  • -1 million net migration per year (over 2.1 billion people in 2100, -.04%/y)
  • life expectancy of 75 in 2100

GDP, production and consumption projections

Arithmetic of growth


  • Since 1950
    • World population has tripled (2.5b -> 8.2b),
    • Production per head has tripled (3.k$US23/cap/y -> 11.5k$US23/cap/y)
    • Hence, production has been multiplied by more than 10 (12.5)
  • In a close future (2100)
    • Catching up is the rule
      • There is nothing we can (nor should) do
      • Convergence, right to development, diffusion of progress
      • Best practice, capital, technology at disposal, high yield of investment
    • Today 1.2b people live as we live (41k$US23) (EU+USA+Japan+other developped countries)
    • 6.1b are poorer (5.9k$US23); China+India+other developping countries are growing fast
    • low income (.7b) catching up also (0.7k$US23)
  • Production may more than triple (3.8 to 7.6) in the next 70 years
    • From 10.7k$US23/cap/y to more 41k$US20/cap/y (more or less, total dependancy ratio will mitigate a little bit that (65% -> 70%))
    • With equal population, production is going to be multipled by 5 since now (~50 times 1950)
    • World population should stabilize around 10b people, meaning 20% increase to come
    • Another doubling of production with 1.%/y of total factor productivity growth over 70y
    • Grand total: more than 10 times today production in 2100



From GDP to pressure: the case for energy

  • Rich countries : 1.2b peoples ; income 41k$US23; 4.7 toe/cap/y constant
  • Developing countries catching up: 6.1b people ; income 5.9k$US23; 0.975 toe/cap/y increasing
  • Total energy consumption from 11.6 to 34.3 (Gtoe/y, \(\times\) 2.95), GDP per cap from 11.7 to 41 (\(\times\) 3.5) in the case of pure convergence elasticity is .85 (no or small decoupling)
  • Including low income: energy $$3.25; gdp \(\times\) 3.8, elasticity is the same
  • If technical progress is taken in account, then elasticity is divided by 2 (energy increase is the same; production doubles; decoupling)
  • If digitization, IA or recycling, or direct capture increase energy needs, elasticity could be more than 0.5, even more than 1 (coupling)

Business as usual

From pressure to boundaires

Wrap up: pressure on earth going over the limit

  • Natural resources exhaustion
    • Depletion of oil, coal, gaz, other fossil energy
    • Soil depletion: agriculture; deforesting; erosion
    • Renewable ressources consumed beyond sustainable threshold
  • Pollution
    • Saturation of the capacity of the ecosystem (biosphere) to absorb waste produced by human consumption
    • Some NGO evalue 1 year of waste to 4 years of process by ecosystem
    • Hydric capacity saturation
    • Direct destruction of environment, loss of biodiversity, through destruction of livable zones or direct pollution
  • Climate change
    • Mainly through CO2 emissions
    • smoke; dust; methane; airplanes in high atmosphere (water condensation); other GH gazes play a role as well

More and more people, richer and richer

  • We depend on environmental services
    • Water services
    • fresh, regular flow, drinkable
  • Soils conservation & protection
    • vegetation prevents erosion
    • mangroove prevents coastal erosion
    • Alluvion transports regenerate soils
    • Water capture prevent salts to go up (anti salinization)
  • Food production
    • wild life, plants, bees
  • Waste processing
    • Closing cycles for nutrinents and essential components
  • We use a lot of energy - nearly unlimited solar supply, but it is costly to capture - Limited but nearly free supply of fossil fuel

Climate pressure: World CO2 and equivalent emissions

Kaya identity

\[CO_2= Pop \times \frac{GDP}{Pop} \times \frac{E}{GDP} \times \frac{CO_2}{E}\]

  • Accounting or decomposition identity, no model, no structure in it
  • Can be used in various situations with as many terms needed

Boundaries are defined as:

  • Indicators, critical to life, with an anthropogenic forcing
  • Subject to tipping points (supposed or expected)
    • Threshold unknown or not well known
    • Crossing the threshold would be irreversible (or for a long time)
    • Consequences of being beyond threshold unknown (untested)
    • Not only a threshold but also a speed to the threshold (and beyond): reducing adaptation possibility of humans, human societies, ecosystem humans depends on

Boundaries over time

Local (regional) carrying capacity

A (temporary) conclusion

Madman or economist ?

Kenneth E. Boulding

Kenneth E. Boulding

Anyone who thinks that you can have infinite growth on a planet with finite resources is either a madman or an economist

  • The great acceleration: Impact of human activity has increased rapidly since WWII

  • Climate change is one limit (among other) to human activity on earth

    • Carrying capacity or Carbon budget
  • Global degrowth (think less energy) is hard to implement

  • Whereas it does not impose zero growth or negative growth, it has strong consequences on economic possibilities

    • it imposes a change in relative prices (changing definition of output, modifying relative scarcities)
    • it will have strong distributional consequences
    • it will be a major organizational challenge