Duckworth Lewis Method: Cricket is now counted among the world’s most popular sports after football and the Rugby World Cup. The excitement of the match was affected when rain interrupted the match. In such conditions, the Duckworth-Lewis Method is used. Let’s read in detail how this method decides the winner of the match.
- The Duckworth-Lewis-Stern or DLS method has been implemented many times in cricket. The most recent instance of DLS being used to determine a fair score in a major cricket match happened in the IPL 2023 final between Chennai Super Kings and Gujarat Titans.
- Rain interrupted the match immediately after CSK’s chase innings, causing the match to be suspended for more than two hours. However, the DLS method was used to calculate the new score.
- GT made 214/4 in the first 20 overs.
- CSK were given a target of 171 to chase in 15 overs. Powerplay is reduced to 4 overs and each bowler can bowl a maximum of 3 overs.
Inventor of the Duckworth Lewis method;
This method was the invention of statisticians Frank Duckworth and Tony Lewis. Following the names of these two people, this method is widely known as the Duckworth Lewis method.
First use of the Duckworth Lewis method;
In international cricket, this method was first used in 1996-97 during the Zimbabwe-England match. This method was approved by the ICC in 1999.
Duckworth Lewis Method: How can it be used?
According to the method, each group has two types of resources.
These two resources are;
1. Left
2. The remaining wicks
These two resources are used at all times during the match.
On the basis of these two resources, Frank Duckworth and Tony Lewis prepared a chart suggesting how many resources the batting side has left in various situations.
|
Lost wick |
|||||
|
Remaining |
0 |
2 |
5 |
7 |
9 |
|
50 |
100.0 |
83.8 |
49.5 |
26.5 |
7.6 |
|
40 |
90.3 |
77.6 |
48.3 |
26.4 |
7.6 |
|
30 |
77.1 |
68.2 |
45.7 |
26.2 |
7.6 |
|
25 |
68.7 |
61.8 |
43.4 |
25.9 |
7.6 |
|
20 |
58.9 |
54.0 |
40.0 |
25.2 |
7.6 |
|
ten |
34.1 |
32.5 |
27.5 |
20.6 |
7.5 |
|
5 |
18.4 |
17.9 |
16.4 |
14.0 |
7.0 |
When looking at this graph, it becomes clear that when a team has all 50 overs and 10 catches before the match begins; It can be said that the team owns 100% of the resources.
Then, as soon as the team uses the upper and hanger, it means the team’s resources will decrease as the match progresses.
If a team has played 20 balls and lost 2 balls in the match, it means that team has only 30 balls left and 8 balls in hand. In Duckworh-Lewis’s language, the team only has 67.3% of its resources left.
Now, suppose it rains at this point and the 10-overs period of play is washed away, which means the batting side has only 20 overs left and has lost two players; Therefore, according to the Duckworth-Lewis method, the batting team only possesses 52.4% of the resources on hand.
See Table below;
So the rain washed away 67.3 – 52.4 = 14.9 of the batting side’s resources.
As we mentioned earlier that the team (batting first) has used 100% of its resources but the resources available to the team (batting second) is only 100 – 14.9 = 85.10 resources.
In other words, it can be said that 14.9% of the second team’s resources were washed away by the rain.
But so far this explanation seems misleading as the first team has used 100% while the second team or the second team batting has only 85.10 resources. Therefore, to ensure a fair game, both teams must have equal resources. In these conditions, the Duckworth Lewis method will reduce the target set by the team batting first.
The Duckworth Lewis method states that if rain affects the second team’s innings then the target should be amended. Therefore, the goal set by team 1 will be reduced.
And if the rain affects the team batting first then its target will increase, meaning it will have to chase more runs.
Let’s see all this through an example:
Example 1:
If rain affects the team that bats later or plays in the second innings then: –
Suppose the first team scores 300 runs in 50 overs and the second team scores 250/4 in 40 overs. After that, if the match cannot take place, the Duckworth Lewis method will be applied to find the winner of that match.
The first team has played the entire 50 rounds, which means the team has used 100% of its resources. The second team also had 100% resources at the beginning of the round but could not use them due to rain. After 40 rounds, the second team has 10 overs and 6 trophies.
According to the Duckworth Lewis chart, in this situation, the team batting second only has 26.1% of its resources left. Now suppose from this point onwards the match is abandoned.
Now there is a difference in resources available to both groups. As we know the first group used 100% of its resources while the second group only used 100-26.1= 73.9%.
Now the winner of the match will be decided on the basis of equal allocation of resources to both teams.
Since the second team has fewer resources than the first team, the second team’s goals must decrease.
Since the first team scored 300 runs, the target for the second team would be 300 x 73.9 / 100 = 221.7
So, according to the rules, the second team needed to score 222 runs to win the match but scored 250 runs.
Therefore, the second team will be declared the winner by 250 – 222= 28 runs.
We hope that from the above discussion, you must have a clear understanding of how to apply the Duckworth-Lewis method in a rain-affected match.
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