# cricket Duckworth Lewis method

Updated on January 28, 2011

## Duckworth lewis formula

As the name of the method suggests, there were two men behind this D/L method.The interesting fact is that both of them were British statisticians who never played professional cricket before and also they didn't officiate in any international cricket matches.One of them is Frank Duckworth , consultant statistician, and the editor of the Royal Statistical Society's monthly news magazine in the UK. Tony Lewis ( not the cricketer) is a mathematician and by inference jointly developed the Duckworth-Lewis method . It was developed from an undergraduate final-year project at the University of the West of England..

Weather always has its effect on the game and sometimes a good game gets spoiled due to bad weather conditions. This rule is famous as Duckworth-Lewis method rule. In the sport of cricket, the Duckworth-Lewis method (D/L method) is a mathematical way to calculate the target score for the team batting second in a one-day cricket or Twenty20 cricket match interrupted by weather or other circumstance. It is generally accepted to be a fair and accurate method of setting a target score. Lewis and their aim are to reset a target score if play in a one day match is interrupted.

## History of duckworth lewis method

### Creation of duckworth lewis formula

The D/L method or duckworth lewis method was created by two British statisticians, Frank Duckworth and Tony Lewis. It was first used in international cricket in the second game of the 1996/7 Zimbabwe versus England One Day International series, which Zimbabwe won by 7 runs, and was formally adopted by the International Cricket Council in 2001 as the standard method of calculating target scores in rain shortened one-day matches.

Duckworht lewis method UpdatedThe published table that underpins the D/L method is regularly updated, most recently in 2004, as it became clear that one-day matches were achieving significantly higher scores than in previous decades, affecting the historical relationship between resources and runs.The D/L method was also split into a Professional Edition and a Standard Edition.

Duckworth-Lewis rule for T20 matches-In June 2009, it was reported that the D/L method would be reviewed for the Twenty20 format after its appropriateness was questioned in the quickest version of the game. Lewis was quoted admitting that "Certainly, people have suggested that we need to look very carefully and see whether in fact the numbers in our formula are totally appropriate for the Twenty20 game."

resources:- en.wikipedia.org/Duckworth and lewis_method

## Latest duckworht lewis calculation for indian team

### Fifth ODI between India and south Africa

If the match stopped in first innings of the Cricket match

During the fifth ODI between India and South Africa in January 2011, rain halted play twice during the first innings. The match was reduced to 46 overs and South Africa scored 250-9. The D/L method was applied which adjusted the target to 268. As the number of overs was reduced in between South Africa's innings, this method takes into account what South Africa would have scored before the first interruption. Despite Yusuf Pathan's lower order century, India were bowled out for 234 resulting in a 33 run victory for South Africa who clinched the series 3-2.

If the match stopped in Second innings of the Cricket match

The examples of duckworth lewis method applied for when match stopped in the second innings.The match was played in 2006 between India and Pakistan, India batted first, and were all out in the 49th over for 328. Pakistan, batting second, was 7 wickets down for 311 when bad light stopped play after the 47th over. And indeed, application of the D/L method resulted in a target score of 304 at the end of the 47th over, with the officially listed result as "Pakistan won by 7 runs (D/L Method)".

Twenty20 International cricket at the Oval

David Shepherd during his final appearance in international cricket -Australia vs England 3rd ODI Oval Natwest series 2005

There are lot of methods before the introduction of D/L method in which all the methods were not standard and are applied according to the condition of the matches.The methods were:-

=>Run-Rate ratios

=>The score that the first team had achieved at the same point in their innings

=>Targets derived by totaling the best scoring overs in the initial innings

=>The best scoring method

All of these methods have faults and its own difficulties to carry out and these kinds of methods could be easily exploitative.

For Exmple:-"The best scoring method" was used in the 1992 world cup in which South Africa needed 21 runs from just one ball which is really impossible since the maximum runs that could be taken from 1 ball is six runs. According to duckworth lewis rule it is 5 runs which is achievable.

## Theory behind the making the duckworth lewis method

The essence part of the duckworth lewis method is depend on 'resources'. According to duckworh and lewis theory each team have only two resources to achieve any target:-

<=>The number of overs they have to receive

<=>Number of wickets they have in hand

At any point in any innings, a team's ability to score more runs depends on the combination of these two resources.When D/L method is applied to 50 over matches both sides has to bat at least 20 overs before D/L can decide the game.In the case of Twenty20 cricket matches each team has to face at least 5 overs.

India's Yuvraj Singh calls for medical attention as Pakistani players look on during their second one-day international cricket match in Mohali

## Criticise of this duckworht lewis method

The duckworth lewis or D/L method has been criticized based on the fact that wickets are (necessarily) a much more heavily weighted resource than overs. For winning a match if rain is interpreted the match, strategy could be to not lose wickets and score at what would seem to be a "losing rate (e.g. if the asking rate was 6.1, it could be enough to score at 4.75 an over for the first 20-25 overs).

Another criticism is that the duckworth lewis method does not include the changes in the proportion of number of overs during which field restrictions are in place compared to a completed match.

Another common criticism by the cricket fans and the journalists are that this method is more complex and is hard to understand.

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