The Sun gradually increases its luminosity during its evolution on the main sequence due to the accumulation of helium in its core. This process is well-modeled in stellar astrophysics. Since its birth (about 4.6 billion years ago), the Sun's luminosity has increased by about 30%. It is estimated that at the time of the early Earth (4 billion years ago), the Sun emitted only ~70% of its current luminosity.
Time (since the formation of the Sun) | Age of the Sun | Luminosity \(L / L_\odot\) |
---|---|---|
0 | 0 Ga | 0.70 |
1 Ga | 3.6 Ga | ~0.79 |
2 Ga | 2.6 Ga | ~0.88 |
3 Ga | 1.6 Ga | ~0.97 |
4.6 Ga (today) | 0 | 1.00 |
6 Ga | +1.4 Ga | ~1.10 |
8 Ga | +3.4 Ga | ~1.40 (end of main sequence) |
The Faint Young Sun Paradox, first stated in 1972 by Carl Sagan (1934-1996), highlights an apparent inconsistency between astrophysical models and terrestrial geological data. This paradox raises a contradiction between the estimated solar energy in the past and the conditions necessary for the appearance of life on Earth. 4.6 billion years ago, the Sun emitted only ~70% of its current luminosity; such a reduction in sunlight should have plunged the early Earth into a global ice age, preventing the presence of liquid water on the surface.
However, geological data reveal the existence of non-frozen paleosols and aqueous sedimentary strata dating from this time. Microbial life, which requires liquid water, would have appeared very early in Earth's history, probably around 3.5 to 4.1 billion years ago, during the Archean eon.
Various mechanisms are considered to explain this compensatory warming:
These hypotheses likely combined, but their relative weight (unknown) must be adjusted to avoid antagonistic effects (e.g., solar wind vs. dense atmosphere). To date, the relative contribution of each mechanism to the warming of the early Earth is not precisely known, but climate models and geological data allow estimating orders of magnitude.
Geological Period | Solar Luminosity \(L/L_\odot\) | Estimated CO₂ Concentration | Scientific References |
---|---|---|---|
-4.0 Ga | 0.70 | ~100,000 ppm (0.1 bar) | Kasting (1993) |
-3.0 Ga | 0.75 | ~30,000 ppm (0.03 bar) | Haqq-Misra et al. (2008) |
-2.5 Ga | 0.80 | ~10,000 ppm (0.01 bar) | Charnay et al. (2017) |
Period (~Ga) | Estimated CO₂ (mbar) | Estimated CH₄ (mbar) | Surface Temperature | Model / Source |
---|---|---|---|---|
3.8 | ~100 | ~2 | 10–20°C | Charnay et al. 2013 (3D GCM) |
Archean (general) | 10–100 | a few | Temperate > 0°C | Charnay et al. 2020 (review) |
The complete resolution of the paradox involves coupled climate-atmosphere-ocean-biosphere models. Despite recent progress, no model can exactly reproduce all geological observations with purely realistic physical hypotheses. This suggests that the early Earth was in a state of climatic stability limit, very sensitive to feedback.
For example, methane produced by methanogenic archaea in an anoxic environment could have played a major role. CH₄ being a very effective greenhouse gas (global warming potential 25 times higher than that of CO₂), its sufficient concentration would have prevented glaciation, before being eliminated by oxygen during the Great Oxidation around -2.4 Ga.
The Faint Young Sun Paradox illustrates a fundamental truth of planetary climatology: the thermal stability of a habitable planet depends on a complex network of positive and negative feedbacks. On Earth, this network has maintained a surface temperature compatible with life, despite variations in solar irradiance over billions of years.
This paradox remains at the heart of research on primitive climatology and also guides habitability models for exoplanets. It finally highlights how crucial the initial conditions and internal geophysical properties of a planet (tectonics, magnetism, volcanic activity) are for the preservation of a temperate climate.