(For an introduction of Duckworth-Lewis method visit the part 1)
Below, are two examples given for the betterment in understanding the Duckworth-Lewis method used in different scenarios.A sample of reduced D/L table is given below.
Wickets lost | |||||
Overs left | 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 |
10 | 34.1 | 32.5 | 27.5 | 20.6 | 7.5 |
5 | 18.4 | 17.9 | 16.4 | 14.0 | 7.0 |
Ex. 01: Team A scored 263 runs within their allotted 50 overs and the match was interrupted when team B had scored 132 for the loss of 2 wickets in 30 overs.
Case1: If match is not resumed.
The percentage of resources lost by Team B = 54% (wickets = 2 and overs left = 20)
The percentage of resources available to Team B = 100-54 = 46%
The percentage of Team A’s resources = 100% (no interruptions occurred during 1st innings) Revised target for 30 overs = 263*46/100 = 120.98
Since Team B has scored 132, they will be declared as the winners.
Case 2: If match is reduced to a 40 overs.
Case 2: If match is reduced to a 40 overs.
The percentage of resources at the time of interruption for Team B = 54%
The percentage of resources when match resumed (10 overs left, 2 wickets down) = 32.5% Percentage loss of resources for Team B = 54-32.5 = 21.5%
The percentage of resources available to Team B=100-21.5=78.5%
Revised target in 40 overs = 263*78.5/100 = 206.45 = 207(to win)
Ex2: Team A scored 132/2 in 30 overs and the match was interrupted. The match resumed as a 30 over match.
The percentage of resources at the time of interruption for Team A = 54%
The percentage of resources at the time of interruption for Team A = 54%
The percentage of resources used by Team A = 100-54 = 46%
The percentage of resources available for Team B = 77.1% (30 overs 10 wickets)
Since Team 2 has more resources, their “revised target” must be raised upwards. The G50 value comes into play at this moment. The additional number of runs that has to be added to the target is calculated as a percentage of G50 value with respect to the additional resource percentage available for Team B.
The additional resource percentage available for team B = 77.1-46 = 31.1%
Since Team 2 has more resources, their “revised target” must be raised upwards. The G50 value comes into play at this moment. The additional number of runs that has to be added to the target is calculated as a percentage of G50 value with respect to the additional resource percentage available for Team B.
The additional resource percentage available for team B = 77.1-46 = 31.1%
Additional runs that should be added to the target = 225*31.1/100 = 69.975 = 70 (225 is the G50 value)
Therefore Team B should score 202 runs to win the game within 30 overs.
Therefore Team B should score 202 runs to win the game within 30 overs.
So this shows how simple D/L method is used during matches.The professional version of this D/L method is used in ODI's.