By Daniel Brouse
February 14, 2026
Human-induced climate change, also called anthropogenic global warming, is a physical phenomenon rooted in the radiative properties of greenhouse gases (GHGs), especially CO₂, CH₄, and N₂O, and their interaction with Earth’s energy balance.
1. The Greenhouse Effect
Earth receives energy from the Sun primarily in the form of shortwave radiation (visible light and near-infrared). The planet absorbs this energy and re-emits it as longwave infrared radiation. Greenhouse gases in the atmosphere absorb some of this infrared radiation and re-emit it, warming the lower atmosphere and surface. This is the greenhouse effect, and it is governed by fundamental physics:
Net Radiation=4S(1−α)−σT4
Where:
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SS = solar constant (~1361 W/m²)
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α\alpha = Earth’s albedo (~0.3)
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σ\sigma = Stefan-Boltzmann constant (~5.67×10⁻⁸ W/m²K⁴)
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TT = Earth’s effective radiating temperature
Without GHGs, Earth’s surface would average ~255 K (-18°C). With current GHG levels, it averages ~288 K (~15°C).
2. Human Contribution via CO₂
Humans have increased atmospheric CO₂ from ~280 ppm (pre-industrial) to ~420 ppm today. This increase is not from natural sources but primarily from burning fossil fuels (coal, oil, gas) and land-use changes. The isotopic signature of carbon identifies the source:
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¹²C, ¹³C, ¹⁴C isotopes are key:
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Fossil fuels are depleted in ¹³C because plants preferentially absorb ¹²C during photosynthesis.
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Fossil fuels contain no ¹⁴C (radiocarbon), as it decays over millions of years.
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The observed decline in ¹³C/¹²C ratio and ¹⁴C content confirms that the excess CO₂ comes from fossil carbon, not volcanoes or oceans.
3. Radiative Forcing
Radiative forcing (ΔF\Delta F) quantifies how much a GHG changes the balance between incoming and outgoing radiation:
Explanation:
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ΔF\Delta F = radiative forcing (in watts per square meter, W/m²)
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CC = current atmospheric CO₂ concentration (ppm)
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C0C_0 = reference (pre-industrial) CO₂ concentration (ppm)
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ln\ln = natural logarithm
Where:
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CC = current CO₂ concentration (ppm)
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C0C_0 = pre-industrial CO₂ concentration (~280 ppm)
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The constant 5.35 comes from line-by-line radiative transfer calculations
This formula captures the logarithmic relationship: each doubling of CO₂ produces roughly the same increase in radiative forcing (~3.7 W/m² per doubling).
Other gases:
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CH₄ (methane): short-lived but ~25× more potent than CO₂ over 100 years.
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N₂O (nitrous oxide): ~298× more potent than CO₂ over 100 years.
The total forcing is the sum of all anthropogenic contributions:
Explanation:
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ΔFtotal\Delta F_\text{total} = total radiative forcing from all greenhouse gases
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ΔFCO₂\Delta F_\text{CO₂} = forcing due to carbon dioxide
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ΔFCH₄\Delta F_\text{CH₄} = forcing due to methane
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ΔFN₂O\Delta F_\text{N₂O} = forcing due to nitrous oxide
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“…” indicates contributions from other greenhouse gases (e.g., CFCs, HFCs)
4. Feedbacks Amplifying Warming
Initial radiative forcing is amplified by feedbacks:
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Water vapor feedback: warmer air holds more water → more greenhouse effect
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Ice-albedo feedback: melting ice lowers reflectivity → more absorption
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Permafrost carbon release: thawing peat releases CO₂ and CH₄ → additional forcing
This creates nonlinear acceleration: warming triggers processes that produce more warming — a key insight in the “Domino Effect” hypothesis.
5. Observational Evidence
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Rising global temperatures (surface and ocean heat content)
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Melting glaciers and ice sheets (Greenland, Antarctica, Arctic sea ice)
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Rising sea levels
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Atmospheric CO₂ increase with fossil fuel isotopic signature
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Measured radiative forcing matches predictions from CO₂ and other GHGs
Summary
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Fossil fuel combustion increases CO₂ → higher radiative forcing → warming.
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The isotopic composition confirms the carbon source is anthropogenic.
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Feedback loops accelerate the warming beyond the direct effect of CO₂ alone.
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Observations match the physics and models, validating the scientific understanding of human-caused climate change.