How the Coefficient Points Are Calculated and Used

The coefficient looks like a single figure, but it is assembled from many small parts. Each result is worth a set number of points, progress through the rounds adds more, and the parts are gathered over a span of seasons before they are ranked against every other club or country.

Points from every match

A club earns points for the matches it plays. A win is worth more than a draw and a draw more than a defeat, so the results of the group or league phase feed directly into the total from the first matchday of the campaign.

The scale is fixed in advance and applied to all clubs, which is what keeps the ranking comparable. Because the points are not adjusted after the fact, a club can follow its own coefficient as the season unfolds.

Points from progress

Beyond the results, progress through the rounds is rewarded. A club that reaches a later stage collects points for the stage itself, so a deep run adds to the total on top of the individual matches it won along the way.

This makes the coefficient sensitive to ambition. A club that advances further earns more than one that exits at the same stage of the season with the same number of wins, because the reward attaches to the round reached.

The sliding window

The total is calculated across a window of seasons rather than a single year. Each season's contribution is counted, and the oldest season falls out as a new one is added, so the ranking always describes a recent span of performance.

The sliding window is what makes the coefficient stable. A club cannot be lifted by one anomalous campaign, and a club cannot be sunk by one poor one, so the ranking reflects a level rather than a spike.

From totals to a ranking

Once the points are gathered, the clubs or countries are ordered from highest to lowest. That order is the ranking, and it is the ranking rather than the raw points that the competition uses when it places a club in a pot or a seed.

The distinction matters. Points are the raw material and the ranking is the product, and the draw works from the product: it is the position in the order, not the size of the total, that decides a club's treatment.

How the ranking is used

The ranking shapes the pots and the seeds. Clubs are divided into groups by their position in the order, and the draw then takes one club from each group so that the strongest are spread rather than concentrated.

The same arithmetic governs the allocation of places through the association ranking, so a method that begins as a way of counting results ends by determining who plays whom and how many clubs a country may enter.

• Every match contributes points on a fixed scale.
• A win is worth more than a draw, and a draw more than a defeat.
• Reaching a later round adds points for the progress.
• Totals are summed over a sliding window of seasons.
• The ranking, not the raw points, is what the draw uses.
• The same method underlies the allocation of places.

The calculation is simple in outline and careful in detail. Results and progress are counted over a window of seasons, the totals are ranked, and the ranking decides the pots, the seeds and the places, so the arithmetic of the coefficient reaches into every part of the draw.