D/L rule in cricket?

Question

Can someone please explain how the D/L rule is worked out in cricket.

Answer 1

D/L is difficult to work out for yourself (you need a book of tables or a computer program) but it is the fairest method that exists.

It is based on resources. When a team has 10 wickets left and 50 overs to go (the start of the innings) they then have 100% of their resources at their disposal. If overs are lost to weather then the calculation looks at how much "resource" is lost. The later overs are considered more valuable than the earlier overs as teams tend to score more heavily in the second half of their innings. Also, the number of wickets in hand is significant in calculating the resource lost during a stoppage. As a batting side the more "wickets in hand" you have makes the the overs worth more in terms of resource. The resource available to both teams is considered when calculating the "new" target.

It's a common misconception that D/L ruined the world cup semi final in 1992 between SA and England. They went from needing 22 off 13 balls to needing 21 of 1 ball after a delay. The truth is that D/L had not been introduced at this point and it was the old "Rain Rule" of simply removing the lowest scoring overs from the other teams innings which handed England a place in the final. It can be argued that this game was the catalyst for the intoduction of the Duckworth/Lewis method.

The main weakness of D/L now is that with the invention of 20-20 cricket D/L doesn't really take into account the incredibly high scoring rates that can be achieved over a short period of time. This doesn't mean D/L should be replaced but it probably needs updating as it can heavily favour the team batting second as it did in the 4th One Day International between England and SA.

Answer 2

It's not very complicated, as long as you don't try to work out how it was created in the first place.

It is based on the concept of how many more runs a team could have been expected to score given the number of wickets and balls remaining in their innings. A graph charting the expected progress of a team (plotting wickets in hand against overs remaining) is used to create a table which lists the % of combined resources remaining to a team, which is then applied to the number of runs scored so far in order to produce a revised target.

Extract from the table, the figures in the table are the % resources remaining to a team, which can be used to calculate how many more runs a team would have scored: http://bp1.blogger.com/_JBbDiMwyljM/SFjy...

Answer 3

I'm sorry, I am not an actuary and you nearly need to be one to work this out. It was much simpler in the pre D/L days. Personally I feel they should have rain days factored in or just abandon the game. In a world cup game under the D/L system, South Africa ended up having to score 16 runs off the last ball. A real joke.

Answer 4

easy. when a game is shortened by weather or something else the overs are reduced in the innings. if an innings was shortened to 25 instead of fifty, and the first team had 50 overs and they scored 200, then the second team would need 101 to win from 25. the score is worked out by finding the run rate of the first innings (in this case 4) then team 2 would have to score 4 an over from their 25 overs so it is the same run rate, just different overs.

Answer 5

It is very complicated. Go on Wikipedia. It's stupid anyway. South Africa had to score 22 runs of the last bowl due to D/L. It would have won if it wasn't for that.

Answer 6

It is a big hypothesis, if the team have played for the full length, they would have scored so much. It takes into consideration, the resouces (No .of Wickets & Overs remaining) available, and project the scored if they batted, say, the full 50 overs. It follows a table to calculate the projected scored.

Follow the links for further explanation

http://en.wikipedia.org/wiki/D/L_method

http://news.bbc.co.uk/sport1/hi/cricket/...

http://www.sportsofworld.com/2007-world-...

http://home.iprimus.com.au/shane_booth/c...

http://www.daa.com.au/analytical-ideas/c...

Answer 7

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 Twenty-20 cricket match interrupted by weather or other circumstance.

A simple example of the D/L method being applied was the first One Day International (ODI) between India and Pakistan in their 2006 ODI series. India batted first, and were all out in the 49th over for 328. Pakistan, batting second, were 7 wickets down for 311 when bad light stopped play after the 47th over.

In this example, Pakistan's target had the match continued was 18 runs in as many balls, with three wickets in hand. Considering the overall scoring rate throughout the match, this is a target most teams would be favored to achieve. 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)"

Answer 8

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 Twenty-20 cricket match interrupted by weather or other circumstance. It is generally accepted to be a fair and accurate method of setting a target score, but as it attempts to predict what would have happened had the game come to its natural conclusion, it generates some controversy. The D/L method was devised by two English statisticians, Frank Duckworth and Tony Lewis.

Contents

[hide]

    * 1 Example

    * 2 Theory

    * 3 Application

    * 4 History and Creation

    * 5 Updates

    * 6 Criticism

    * 7 References

    * 8 Further reading

    * 9 External links

[edit] Example

A simple example of the D/L method being applied was the first One Day International (ODI) between India and Pakistan in their 2006 ODI series. India batted first, and were all out in the 49th over for 328. Pakistan, batting second, were 7 wickets down for 311 when bad light stopped play after the 47th over.

In this example, Pakistan's target had the match continued was 18 runs in as many balls, with three wickets in hand. Considering the overall scoring rate throughout the match, this is a target most teams would be favored to achieve. 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)"[1].

[edit] Theory

Scoring potential as a function of wickets and overs.

The essence of the D/L method is 'resources'. Each team is taken to have two 'resources' to use to make as many runs as possible: the number of overs they have to receive; and the 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. Looking at historical scores, there is a very close correspondence between the availability of these resources and a team's final score, a correspondence which D/L exploits[2].

Using a published table which gives the percentage of these combined resources remaining for any number of overs (or, more accurately, balls) left and wickets lost, the target score can be adjusted up or down to reflect the loss of resources to one or both teams when a match is shortened one or more times. This percentage is then used to calculate a target (sometimes called a 'par score') that is usually a fractional number of runs. If the second team passes the target then the second team is taken to have won the match; if the match ends when the second team has exactly met (but not passed) the target (rounded down to the next integer) then the match is taken to be a tie.

[edit] Application

The D/L method is relatively simple to apply, but requires a published reference table and some simple mathematical calculation (or use of a computer). As with most non-trivial statistical derivations, however, the D/L method can produce results that are somewhat counterintuitive, and the announcement of the derived target score can provoke a good deal of second-guessing and discussion amongst the crowd at the cricket ground. This can also be seen as one of the method's successes, adding interest to a "slow" rain-affected day of play.

Applied to 50 over matches, each team has to face at least 20 overs before D/L can decide the game. In Twenty20 games, each side has to face at least 5 overs.

[edit] History and Creation

The D/L method was created by two English statisticians, Frank Duckworth and Tony Lewis, originating from an undergraduate final-year project at the University of the West of England[citation needed]. 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,[3] 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.

Various different methods had been previously used to achieve the same task, including run-rate ratios, the score that the first team had achieved at the same point in their innings, and targets derived by totaling the best scoring overs in the initial innings. All of these methods have flaws that are easily exploitable. For example, run-rate ratios do not account for how many wickets the team batting second have lost, but simply reflect how quickly they were scoring at the point the match was interrupted; thus, if a team felt a rain stoppage was likely, they could attempt to force the scoring rate without regard for the corresponding highly likely loss of wickets, skewing the comparison with the first team. Notoriously, the "best-scoring overs" method, used in the 1992 Cricket World Cup, left the South African cricket team requiring 21 runs from one ball (when the maximum score from any one ball is generally six runs). Prior  

Answer 9

COmplex COmplex COmplex ...

find it below

Answer 10

Its very complicated but i suggest you to read it here:

http://en.wikipedia.org/wiki/Duckworth_L...

might be helpfull