Bound climate claims with energy evidence
Separate equation checks, observational evaluation and the missing processes required for climate forecasts.
Learning outcome: Write an evidence-based scope statement and design compatible radiative and energy-storage comparisons.
Starting recap
Calculated scenarios are not observed climate records. Net W/m² is distinct from accumulated energy and temperature change.
All lessons are open directly. Your saved experiments remain when you leave and return.
Try
A fixed +2 W/m² over an assumed 1000 seconds gives 2000 J/m², but no temperature rise without a storage model.
Open the experimentPredict
Can a positive net flux alone establish next year’s global surface-temperature change?
Experiment
Audit the default energy ledger using two equivalent net formulas, then classify forecast and feedback claims by the extra evidence they require.
Balance absorbed sunlight and thermal radiation
Worked teaching model · synthetic values · Fixed Sun-normal irradiance 1361 W/m²; global mean incoming sunlight is one quarter of this. Albedo is the whole-planet reflected solar fraction. Outgoing thermal radiation is σT⁴ for an equivalent unit-emissivity emitter, with σ = 5.670374419 × 10⁻⁸ W m⁻² K⁻⁴. T is effective emitting temperature, not mean surface temperature. Albedo is prescribed independently of T. No heat capacity, time evolution, atmosphere/surface separation, greenhouse response or measured climate data is included.
Reset keeps your prediction, captures and practice history.
Sunlight meets a disk of area πR²; the planet has surface area 4πR². Dividing total intercepted power by the whole surface area gives 1361/4 = 340.25 W/m². This is a global mean, not local noon sunlight. Reflected plus absorbed sunlight equals incoming sunlight; these are not three independent energy inputs.
| Quantity | Selected | 30% reference |
|---|---|---|
| Planetary albedo | 30% | 30% |
| Global mean incoming solar flux | 340.250 W/m² | 340.250 W/m² |
| Reflected solar flux | 102.075 W/m² | 102.075 W/m² |
| Absorbed solar flux | 238.175 W/m² | 238.175 W/m² |
| Selected effective emitting temperature | 255 K | 255 K |
| Outgoing thermal flux | 239.758 W/m² | 239.758 W/m² |
| Signed net into modeled system | -1.583 W/m² | -1.583 W/m² |
| Continuous equilibrium effective temperature | 254.578 K | 254.578 K |
| Same equilibrium expressed in Celsius | -18.572 °C | -18.572 °C |
Equilibrium shift relative to the 30% reference: 0.000 K. The equilibrium is solved continuously, while the temperature slider advances in 5 K steps. At 30% albedo, 255 K is close to—but not exactly—the 254.578 K balance point. A small displayed mismatch is not a measured planetary imbalance.
For albedo α (a fraction), absorbed flux = (1 − α)S/4 and equilibrium T = [(1 − α)S/(4σ)]^(1/4). Use kelvin in the fourth power; subtract 273.15 only afterward to report Celsius. Positive net means energy accumulation; negative net means energy loss. No heat capacity is supplied, so this model cannot give kelvin per year or a date when equilibrium is reached.
Effective emitting temperature is the equivalent temperature giving the outgoing flux σT⁴. It is not the mean surface temperature, nor generally an arithmetic mean of spatially varying emitting temperatures. This calculation does not separate surface and atmospheric radiation or represent the greenhouse mechanism. Changing prescribed albedo is a comparison, not a simulated feedback: temperature never changes albedo here.
Absorbed 238.175 W/m²; outgoing 239.758 W/m²; signed net -1.583 W/m². Net energy loss.
Continuous equilibrium effective temperature 254.578 K (-18.572 °C). The selected temperature is 255 K; a rounded slider value need not give exact balance. Net power identifies energy gain or loss, not a warming rate or surface-climate prediction.
Captures preserve recipes and replay their calculated results. They are synthetic model evidence, not physical measurements.
Understand
Apply
Public practice checks a specific claim. It does not establish independent mastery.
Specify compatible time intervals, spatial coverage and uncertainties for proposed observations, and preserve the difference between effective and surface temperature.
Continue
Completion requires a saved prediction, at least one capture and a reflection. Presence checks do not grade your reasoning.
Skipping retains experiments and awards no mastery.
Save a science backup or import one
Science work is stored locally in this browser, separately from mathematics and AI. It does not sync automatically. Use this science-only backup; this checkout's older all-subject export does not include science.
A legacy file is available only when the complete snapshot fits the 36 MB limit. For larger snapshots, prepare a complete file set below; never discard notebooks to make a smaller file.
Matching imported notebook drafts replace their current drafts. Omitted lessons and known first attempts remain. Export your current work first if you want to retain both drafts.
Complete file sets and course backups
A file set can hold more work than one science file. Keep its manifest and every part together. Each file is limited to 36 MB. This format needs this version of LearnAI or a compatible newer version; older versions can use only the legacy single-file backup above.
The set includes every saved science course and global continuation at this moment. Later edits need a new export. A conflicting tab exports its own visible work, which may differ from saved work in another tab.
0 file(s) selected. File order and filenames do not determine identity. Missing, changed or conflicting parts block the entire restore; no good part is applied by itself.
Science storage: loading. No account or remote computation is required.