Duckworth Lewis “rules”

Hi Anthony, you won’t find it for free on the web, sorry.

As my chief ump calls it, the “Black Arts” are there for a price. I recommend contact with the ECB or ACUS but you will have to pay for a good program. There are also some reputable firms out there, for example acumenbooks.co.uk that could help. Please, be certain to get an ECB or ACUS certified version!

Otherwise, become an immediate and firm friend of someone on the County circuit and get your hands on a copy of the ECB book of Regulations and Playing Conditions. The tables are listed there.

Good hunting!

hi i want to know where i will get the book called duckworth louis rules of cricket book from

please let me know asap thanks

Hi Sunil, Duckworth/Lewis, or D/L, is a mathematical formula for calculating the numbers of runs a team needs to win, when one or both of the innings have been interrupted (bad light, rain etc).

Google it for a full explanation. Try acumen for books, and one of the best software programmes on the market is called CODA. Hope this helps.

The figures given in the table are percentages of the resources available for a complete 50-over innings.

Table of resource percentages remaining
OVERS WICKETS REMAINING
LEFT 10 9 8 7 6 5 4 3 2 1
50 100.0 93.4 85.1 74.9 62.7 49.0 34.9 22.0 11.9 4.7
49 99.1 92.6 84.5 74.4 62.5 48.9 34.9 22.0 11.9 4.7
45 95.0 89.1 81.8 72.5 61.3 48.4 34.8 22.0 11.9 4.7
40 89.3 84.2 77.8 69.6 59.5 47.6 34.6 22.0 11.9 4.7
35 82.7 78.5 73.0 66.0 57.2 46.4 34.2 21.9 11.9 4.7
30 75.1 71.8 67.3 61.6 54.1 44.7 33.6 21.8 11.9 4.7
25 66.5 63.9 60.5 56.0 50.0 42.2 32.6 21.6 11.9 4.7
20 56.6 54.8 52.4 49.1 44.6 38.6 30.8 21.2 11.9 4.7
15 45.2 44.1 42.6 40.5 37.6 33.5 27.8 20.2 11.8 4.7
10 32.1 31.6 30.8 29.8 28.3 26.1 22.8 17.9 11.4 4.7
5 17.2 17.0 16.8 16.5 16.1 15.4 14.3 12.5 9.4 4.6
4 13.9 13.8 13.7 13.5 13.2 12.7 12.0 10.7 8.4 4.5
2 7.2 7.1 7.1 7.0 7.0 6.8 6.6 6.2 5.5 3.7

Example 1. In an ODI, Team 1 having scored 200 runs for the loss of 6 wickets in 40 overs, from an expected 50 overs ODI; when rain caused Team 1’s innings to be terminated and Team 2’s innings being restricted to 40 overs. What is the target for Team 2?

Team 1 had 4 wickets remaining and had 10 overs to play, when the rain interrupted the match.
This premature termination of their innings has deprived them of 22.8% of the resources, had the game been played to the full 50 overs.
Having started with 100% they have used 100 – 22.8 = 77.2% of their resources.

Team 2 will also play for 40 overs. With 40 overs remaining and 10 wickets remaining; from the table – the resource percentage available to them is 89.3%.

Thus, Team 2 have 89.3 – 77.2 = 12.1% greater resource than Team 1.

So they are set a target, which is 12.1% of 235 runs more, or 28.435 more runs than what Team 1 had scored.
Using the sum 200 + 28.44 = 228.44; which on rounding down gives 228 to tie and Team 2’s target is 229 runs in 40 overs.

Note: This is on the reasoning that Team 1 was playing their innings to last the full 50 overs when it was interrupted, whereas Team 2 now knows in advance that the match is reduced to 40 overs and have been handed an undue advantage. D/L Method negates this by setting Team 2 a higher target than the number of runs Team 1 actually scored.

Example 2. In a 50 over ODI match, Team 1 reaches 80/2 after 20 overs and then the game is suspended. It is decided that 10 overs of each team should be lost for the match.
Team 1 resumes and manages to reach a total of 180 in its resumed innings of 40 overs.

Number of overs per innings at the start of match, = 50
Resource percentage available to Team 1 at start of innings = 100%
Resource percentage remaining at suspension (30 overs remaining, 8 wkts remaining) = 67.3%
Resource percentage remaining at resumption (20 overs remaining, 8 wkts remaining) = 52.4%
Resource percentage lost due to suspension = 67.3 – 52.4 = 14.9%
Resource percentage available to Team 1, is 100 – 14.9 = 85.1%

Number of overs available to Team 2 at the start of its innings = 40
Resource percentage available (40 overs remaining, 10 wkts remaining), = 89.3%

Thus Team 2 has more resources available to them than Team 1 had,
so its target should be increased.

Team 1 score = 180
Team 2’s revised target is = 180 + 235 x (89.3 – 85.1)/100
Team 2 ‘s target = 180 + 9.87 = 190 (rounded up).
If Team 2 scores 189 runs, then the match is a tie.

Example 3. In an ODI match, Team 1 has scored 260 from 50 overs in an uninterrupted innings.
Team 2 has faced 15 overs and has scored 80/1.
Then the play is suspended and 10 overs are lost.

What is Team 2’s target?
Number of overs at start of match, = 50.
Team 1’s innings was uninterrupted, so resource percentage available = 100%

Resource percentage available to Team 2 at start of its innings = 100%
Resource percentage remaining at suspension (35 overs left, 9 wkts left) = 78.5%
Resource percentage remaining at resumption (25 overs left, 9 wkts left) = 63.9%
Resource percentage lost due to suspension = 78.5 – 63.9 = 14.6%
Resource percentage available to Team 2, = 100 – 14.6 = 85.4%

Thus Team 2’s revised target is = 260 x 85.4/100
= 222.04 = 223 (rounded up).

If Team 2 scores 222 runs, then the match is a tie.
Thus Team 2 needs a further 143 runs from 25 overs to win the match.