Clouds and visibility calculator

Maximum-Overlap Total Cloud Cover Calculator

Combine three layers under complete maximum vertical overlap. The page keeps overlap, angle, optical threshold, units, and model limits visible.

Optical path model

Supply the stated values

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What Maximum-Overlap Total Cloud Cover represents

Maximum overlap places cloudy portions of smaller-fraction layers entirely beneath or above the cloudiest layer. Column cover therefore equals the largest layer fraction.

Maximum-Overlap Total Cloud Cover begins with layer 1 cloud fraction, layer 2 cloud fraction, layer 3 cloud fraction. Mark each value as observed, remotely sensed, modeled, assumed, or derived, and preserve its valid time and spatial support.

Spatial and temporal representativeness

Cloud and visibility can change across seconds, kilometres, viewing directions, and vertical layers. One Maximum-Overlap Total Cloud Cover input set represents only its declared path, footprint, and interval.

When combining several Maximum-Overlap Total Cloud Cover samples, document weights and retain individual values so variability is not hidden by a single mean or total.

Where the model stops

Complete nesting is an idealized bound. Separated cloud systems, wind shear, and broken fields can violate it, and maximum-random schemes may be more suitable.

Maximum-Overlap Total Cloud Cover is transparent educational arithmetic, not a cloud observation, weather forecast, solar-resource assessment, flight rule, runway visual range report, instrument calibration, or operational safety authority.

Uncertainty and sensitivity

Vary the least certain Maximum-Overlap Total Cloud Cover input over a credible range and retain the resulting spread in maximum-overlap total cover. Display precision cannot overcome observer classification, retrieval uncertainty, spatial variability, or an empirical coefficient.

A Maximum-Overlap Total Cloud Cover sensitivity range is not automatically a probability interval. It omits correlations, model-form error, sampling mismatch, sub-grid cloud structure, nonuniform visibility paths, and uncertainty outside the entered variables.

Continue the Maximum-Overlap Total Cloud Cover workflow with the related Runway Visual Range Estimate Calculator, keeping the same observation support and conventions.

Cloud amount, overlap, and layers

Cloud fraction is an area or sky-dome proportion, while a ceiling is a height classification and optical depth is attenuation. Maximum-Overlap Total Cloud Cover should not substitute one quantity for another merely because each relates to cloud.

When layers enter Maximum-Overlap Total Cloud Cover, state whether overlap is random, maximum, observed, or ignored. Adding layer percentages directly can exceed 100% and double-count vertically aligned cloud.

Visibility and contrast conventions

Visibility from Maximum-Overlap Total Cloud Cover depends on the target contrast threshold and extinction units. Meteorological optical range fixes a two-percent contrast convention; a general contrast range or runway screening estimate may use another threshold.

Do not equate Maximum-Overlap Total Cloud Cover optical distance with prevailing visibility, slant range, night visual range, or official RVR without the required observation and processing conventions.

Continue the Maximum-Overlap Total Cloud Cover workflow with the related Meteorological Optical Range Calculator, keeping the same observation support and conventions.

Solar geometry and radiation conventions

Solar elevation is measured above the geometric horizon, while azimuth here is clockwise from true north. Maximum-Overlap Total Cloud Cover must retain whether radiation is normal to the rays or incident on a horizontal surface.

Civil time is not solar hour angle. Longitude, time zone, equation of time, atmospheric refraction, shading horizon, and surface tilt belong in Maximum-Overlap Total Cloud Cover only when the displayed model explicitly includes them.

Formula and convention

The working relationship is C = max(C₁,C₂,C₃). Maximum-Overlap Total Cloud Cover uses only the displayed entries and does not retrieve imagery, station observations, ephemerides, forecasts, or runway systems.

Keep percentages as percentages at entry and convert them to fractions only where the formula shows it. For Maximum-Overlap Total Cloud Cover, retain angle direction, optical threshold, height reference, and distance unit with the answer.

Checked numerical example

For 40%, 50%, and 20% layers, maximum-overlap cover is exactly 50%.

Reset restores this Maximum-Overlap Total Cloud Cover example. Repeat it independently with the stated constants and rounding before replacing demonstration values with observations or scenarios.

Collecting compatible inputs

Use comparable fractions for the same horizontal footprint and time. Keep layer identity and measurement support because a satellite retrieval, sounding diagnosis, and model layer may not be commensurate.

Record site, coordinates, elevation, timestamp, time zone, path direction, wavelength or sensor band, target definition, cloud-layer method, solar-time convention, averaging period, and quality flags when relevant to Maximum-Overlap Total Cloud Cover.

Interpreting Maximum-overlap total cover

The result is the smallest total cover compatible with nested layer footprints. It contrasts with random overlap, which usually produces a larger total.

Compare Maximum-Overlap Total Cloud Cover outputs only after aligning reference height, sky footprint, path, illumination, contrast convention, and temporal average. Similar numbers can describe different optical or geometric quantities.

Continue the Maximum-Overlap Total Cloud Cover workflow with the related Extraterrestrial Solar Radiation Calculator, keeping the same observation support and conventions.

Boundary and monotonic checks

All-zero layers yield zero; any fully covered layer yields 100%.

For Maximum-Overlap Total Cloud Cover, change one input at a time and predict whether the answer should rise, fall, or remain fixed. Unexpected behavior can expose percent-fraction, degree-radian, metre-kilometre, or layer-order mistakes.

Frequent clouds and visibility errors

Typical Maximum-Overlap Total Cloud Cover errors include mixing oktas and tenths, confusing AGL with MSL, adding overlapping layers, treating degrees as radians, using sea-level-reduced visibility, or applying a two-percent constant to a five-percent threshold.

Reject impossible Maximum-Overlap Total Cloud Cover combinations rather than forcing an answer. Keep a clear zero distinct from missing or obscured sky, preserve signs on hour angle, and verify every inverse distance and logarithm denominator before downstream use.

Continue the Maximum-Overlap Total Cloud Cover workflow with the related Cloud Solar Attenuation Calculator, keeping the same observation support and conventions.

Questions about the sky model

What does Maximum-Overlap Total Cloud Cover report?

Maximum-Overlap Total Cloud Cover reports maximum-overlap total cover from the displayed inputs and formula.

Can forecast or scenario inputs be used?

Yes. Label the Maximum-Overlap Total Cloud Cover output as a scenario; the page does not fetch or validate a forecast.

How can I verify Maximum-Overlap Total Cloud Cover?

Repeat C = max(C₁,C₂,C₃) with the recorded conversions, then test the checked example and a physical boundary.

Why could another source disagree?

Another source may use different cloud overlap, optical threshold, solar convention, coefficient, sensor path, height reference, or rounding than Maximum-Overlap Total Cloud Cover uses.

Is this an operational visibility or aviation value?

No. Maximum-Overlap Total Cloud Cover does not replace official weather observations, RVR systems, flight procedures, warnings, or qualified judgment.

How should the result be rounded?

Keep full precision inside Maximum-Overlap Total Cloud Cover, then round no more finely than the least certain measurement or model assumption supports.

When should I recalculate?

Recalculate Maximum-Overlap Total Cloud Cover when its site, time, path, layer, sky footprint, illumination, source observation, or model assumption changes.