
Heat budget of the Earth
The heat budget (or energy budget) of the Earth is the balance between incoming solar radiation and outgoing terrestrial radiation. This balance determines the planet's average temperature; the globally averaged surface temperature is about 14 °C.
Key terms
- Solar insolation - the solar energy received on the Earth's surface per unit area.
- Global radiation - total solar radiation reaching a horizontal surface at ground level; it is the sum of direct solar radiation and diffuse sky (scattered) radiation.
- Incoming shortwave solar radiation - solar radiation from the Sun in the shortwave (visible and near-visible) part of the spectrum that reaches the Earth-atmosphere system.
- Outgoing longwave terrestrial radiation - thermal (infra-red) radiation emitted by the Earth and its atmosphere back towards space.
- Albedo - the fraction of incoming solar radiation that is reflected back to space without being absorbed; it is a reflection coefficient with value between 0 and 1.
Components of Earth's energy budget
- Part of incoming shortwave radiation is reflected back to space by clouds, aerosols, atmospheric molecules and the surface (this reflected fraction is the planetary albedo).
- Part of the incoming shortwave is absorbed by atmospheric gases and particles (heating the atmosphere).
- Part of the incoming shortwave reaches and is absorbed by the Earth's surface (heating land and ocean surfaces).
- The warmed surface emits longwave (infra-red) radiation; some of this longwave escapes directly to space and some is absorbed by greenhouse gases and clouds in the atmosphere.
- The atmosphere itself emits longwave radiation both upward (to space) and downward (back to the surface), producing the greenhouse effect that raises surface temperature above the value it would have without the atmosphere.
- Non-radiative fluxes transfer energy between surface and atmosphere: sensible heat (conduction and turbulent transfer), latent heat (evaporation and condensation), and heat storage in soil and water.
Numerical illustration of a simple budget (unit example preserved)
How is it calculated?
Consider an incoming solar insolation of 100 units. The following losses by reflection occur:
- Clouds - 27 units
- Dust particles (aerosols) - 6 units
- Ice caps and glaciers - 2 units
Total reflected to space = 35 units. This reflected fraction is the planetary albedo expressed in these units.
Energy remaining in the Earth-atmosphere system = 100 - 35 = 65 units.
Partitioning of the 65 units (as in the given example):
- Solar energy received at the surface (global radiation) = 51 units. This is given as:
- Direct radiation reaching the surface = 34 units
- Diffuse daylight (sky-scattered) reaching the surface = 17 units
Total reaching surface = 34 + 17 = 51 units.
- Absorption by atmospheric gases and particles (in different vertical zones) = 14 units.
Check: 51 (surface) + 14 (atmosphere) = 65 units (total retained).
Surface longwave emission and atmospheric absorption (as the example explains):
- Out of the 51 units received at the surface, the surface emits longwave radiation upward. Of this surface-emitted longwave, 17 units escape directly to space.
- The remaining surface-emitted longwave, amounting to 51 - 17 = 34 units, is absorbed by the atmosphere (greenhouse gases and clouds).
- Therefore, the atmosphere receives energy by direct absorption of solar shortwave (14 units) and by absorption of surface longwave (34 units), giving a total atmospheric absorption of 14 + 34 = 48 units.
Question for Heat Budget
Try yourself:What is the average annual temperature of the earth?
Explanation
Mean annual temperature of the earth is 14 degrees celsius. However, due to global warming and climate change, it is expected to reach 15.6 degrees celsius in the near future if global emissions are not controlled.
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Physical laws and typical values
- The solar constant (flux at the top of the atmosphere perpendicular to Sun's rays) is about 1361 W m-2; after geometric dilution across the Earth's spherical surface and day-night averaging, the mean incoming solar flux per unit horizontal area at the top of the atmosphere is about 340 W m-2.
- Global mean planetary albedo is about 0.30, meaning roughly 30% of incoming solar radiation is reflected back to space.
- Outgoing longwave radiation is determined by the temperature distribution and can be related to temperature by the Stefan-Boltzmann law: F = σT4, where σ = 5.670374419 × 10-8 W m-2 K-4.
Albedo
- Albedo measures how much incident solar radiation is reflected by a surface without being absorbed.
- Albedo is a dimensionless reflection coefficient with values between 0 and 1; higher albedo means more reflection and less absorptive heating.
- Surfaces with high albedo include snow and ice, fresh clouds and some deserts; surfaces with low albedo include oceans, forests and dark urban materials such as asphalt.
- Changes in albedo (e.g., ice-sheet melt, deforestation, urbanisation) alter the Earth's energy balance and can cause local or global temperature changes via feedbacks.
- The Urban Heat Island (UHI) effect is related to albedo and heat storage: urban areas generally have lower albedo (darker surfaces), less evapotranspiration (fewer plants), and large heat storage capacity in buildings and pavement, causing higher daytime and night-time temperatures compared with nearby rural areas.
Role of the atmosphere and greenhouse effect
- Greenhouse gases (water vapour, carbon dioxide, methane, nitrous oxide, ozone) are largely transparent to shortwave solar radiation but absorb longwave terrestrial radiation.
- Absorption of outgoing longwave by the atmosphere and re-emission of longwave both upward and downward results in warming of the surface and lower atmosphere; this is the natural greenhouse effect and keeps the surface warmer than it would be if there were no atmosphere.
- Anthropogenic increases in greenhouse gases increase atmospheric absorption of longwave and can change the balance, producing a radiative forcing that leads to climate warming until a new equilibrium is reached.
Energy transfer processes (non-radiative)
- Sensible heat flux - turbulent and conductive transfer of heat between surface and atmosphere caused by temperature differences.
- Latent heat flux - energy transfer associated with phase changes of water (evaporation, condensation, sublimation); latent heat is a major route for transporting energy from surface to atmosphere, especially over oceans and vegetated surfaces.
- Heat storage - seasonal and diurnal storage of heat in soil, rock and water bodies; important for surface temperature response and urban heat retention.
Spatial and temporal variations
- Incoming solar radiation varies strongly with latitude, season and time of day because of Earth's spherical geometry and axial tilt.
- Cloud cover, aerosols, surface type and vegetation cause local to regional variations in albedo and absorption.
- Consequently, the local and regional energy budgets differ from the global mean; these differences drive atmospheric circulation, weather systems and climate zones.
Applications and importance
- Understanding the heat budget is essential for climate science, climate change assessment and attribution.
- Urban planning and building design use principles of albedo, heat storage and radiation to mitigate heat islands and improve thermal comfort (cool roofs, green cover, reflective pavements).
- Solar energy engineering relies on knowledge of insolation, diffuse versus direct components, and seasonal variations for site selection and system sizing.
- Civil, electrical and computer engineers working on infrastructure, power systems and remote sensing must consider radiative and non-radiative energy fluxes for design, modelling and environmental assessment.
Summary
The Earth's heat budget is the balance of incoming shortwave solar radiation and outgoing longwave terrestrial radiation together with non-radiative fluxes. Planetary albedo, atmospheric absorption, greenhouse gases and surface properties control how much of the incoming energy is reflected, absorbed by the atmosphere, absorbed by the surface, and eventually returned to space. Small changes in any component can alter the global energy balance and hence climate. Understanding these components and their numerical partitioning (as in the 100→65→51/14→17/34 example) is fundamental to physical geography, climate science and practical engineering applications.