Duckworth Lewis Calculator- DL Calculator

Duckworth Lewis Calculator- DL Calculator

The Duckworth–Lewis (D/L) method is a mathematical formulation designed to calculate the target score for the team batting second in a limited overs cricket match interrupted by weather or other circumstances. It is generally accepted to be the most accurate method of setting a target score. The D/L method was devised by two English statisticians, Frank Duckworth and Tony Lewis.[1] After their retirements Professor Steven Stern became the custodian of the method. In November 2014, it was renamed the Duckworth–Lewis–Stern

method (or D/L/S method).[2]

This application calculates Duckworth-Lewis (D/L) par scores and targets for rain-interrupted limited-overs cricket matches. It uses the 'Standard Edition' of the D/L method. This will not give exactly the same answer as the 'Professional Edition' that is used in professional matches. (Use of the Professional Edition requires proprietary software which is not yet available to the general public.) However, this application will provide a good indicator of the state of play in a match, and the Standard Edition is valid in non-professional matches (or where the professional software is not available).

When overs are lost, setting an adjusted target for the team batting second is not as simple as reducing the run target proportionally to the loss in overs, because a team with ten wickets in hand and 25 overs to bat can play more aggressively than if they had ten wickets and a full 50 overs, for example, and can consequently achieve a higher run rate. The D/L method is an attempt to set a statistically fair target for the second team's innings, which is the same difficulty as the original target. The basic principle is that each team in a limited-overs match has two resources available with which to score runs (overs to play and wickets remaining), and the target is adjusted proportionally to the change in the combination of these two resources.

Applying the D/L method

The procedure for setting a revised target, which is the same for any number of stoppages at any stage of the match, is as follows.

For each team's innings

(a) from the table note the resource percentage the team had available at the start of their innings;

(b) using the table, calculate the resource percentage lost by each interruption;

(c) hence calculate the resource percentage available.

If Team 2 have less resources available than Team 1, then calculate the ratio of the resources available to the two teams. Team 2's revised target is obtained by scaling down Team 1's score by this ratio.

If Team 2 have more resources available than Team 1, then calculate the amount by which Team 2's resource percentage exceeds Team 1's. Work out this excess as a percentage of 225 [the average 50 over score in ECB matches and one-day internationals (ODIs)] and this gives the extra runs to add on to Team 1's score to give Team 2's target.

***Result Could be wrong if Sudden Change of ICC DL value table**

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