Duckworth Lewis Method
APPENDIX 2
Duckworth/Lewis Method of Re-calculating the Target Score
in an Interrupted Match.
The Professional Edition of the Duckworth/Lewis shall be used in all matches. If any
match is suspended after it has started such that the number of overs available to be faced
by either side is reduced from that determined when the match started, the revised target
shall be computed using the latest version of CODA as distributed by ICC in accordance
with the instructions provided with that software and displayed on the screen.
Where possible, arrangements shall be made for the provision of back-up capability, in
case of computer malfunction, for the operation or continued operation of the
Professional Edition. In the event of computer non-availability or malfunction where no
such provision has been made, the Standard Edition (the method in use prior to October
2003) shall be used.
The regulations given below describe only the operation of the Standard Edition, except
that Clauses 4, 6 and 7 are also applicable to the Professional Edition.
1. Introduction
The D/L method sets revised targets in rain-interrupted limited-overs matches in
accordance with the relative run scoring resources which are at the disposal of the two
sides.
These are not in direct proportion to the number of overs available to be faced, as with
the average run rate method of correction. Instead they depend on how many overs are
to go and how many wickets are down when the interruptions occur.
To calculate the revised targets, you need to know the resources available at the stage of
the match when suspensions and resumption of play occur. All possible values of
resources have been pre-calculated and these are listed in the accompanying table.
The table covers each individual ball in a game of up to 50-overs per side. The figures
given in the table are percentages of the resources available for a complete 50-over
innings.
For matches with less than 50-overs per innings before they start, the resource
percentages available at the start of an innings will be less than 100%. But the same
table and the same method of calculation are used whatever the number of overs per
innings.
The single sheet over-by-over version of the table can be used for cases when play is
suspended before the start of a new over.
When Team 2 (the side batting second) have less run scoring resources at their disposal
than had Team 1 (the side batting first), their target is adjusted downwards using the ratio
of the resources available to the two sides.
But when Team 1’s innings has been interrupted, it often happens than Team 2 have
more resources at their disposal than had Team 1 and it is now necessary to adjust Team
2’s target upwards. In this case the adjustment is based on the runs that would be
expected to be scored on average from the extra resources at their disposal. The number
of these extra runs required is calculated by applying the excess resource percentage to
the average total score in a 50-over innings, referred to here as G50
For matches involving ICC full member nations, including Under-19 international
matches, or for matches between teams that play first class cricket, the value of G50 to
be used at present is 235. For lower levels of the game, G50 should be chosen to
represent the average score expected from the team batting first in an uninterrupted 50
overs-per-innings match. For teams between associate ICC member nations, the
recommended value of G50 is 190; for women’s ODIs, the recommended value is 175.
For U15 internationals, the recommended value is 200. For other levels of the game,
advice should be sought from the ICC.
2. Definitions
• The team batting first are referred to as ‘Team 1’ and the team batting second are
referred to as ‘Team 2’.
• In the table decimal fractions of an over are expressed in standard cricket notation;
i.e. 4.3 overs means 4 overs plus 3 balls.
• The terms ‘target’ and ‘revised target’ are reserved exclusively for the minimum
score Team 2 need to win.
• As with an uninterrupted match, if Team 2 make a score which is one run short of the
target, the match is tied.
The following symbols are used throughout:
N is the number of overs per innings for the match as decided at the moment of
delivery of the first ball of the match.
S is Team 1’s total score.
R1 is the resource percentage (relative to a full 50-over innings) available to Team 1.
R2 is the resource percentage (relative to a full 50-over innings) available to Team 2.
T is Team 2’s target score.
3. Calculation of the Percentage Resource Lost by a Suspension in Play
To compensate for any loss of overs due to a suspension in play during either Team 1’s
or Team 2’s innings, it is necessary first to calculate the resource percentage that has
been lost on account of this suspension.
If the suspension occurs between overs, use the sheet of the table which gives the figures
for whole numbers of overs. If it occurs mid-over, use the sheets of the table which
provide the figures for each individual ball.
3.1 For the start of the suspension in play, from the table note the resource percentage that
remained for the appropriate number of overs/ball left and wickets lost.
3.2 For the resumption of play after the suspension, from the table note the resource
percentage now remaining for the revised number of overs/balls left and for the same
number of wickets lost.
3.3 Subtract the resource percentage in 3.2 from that in 3.1 to give the resource percentage
lost.
3.4 If a suspension in play causes the innings to be terminated, the resource percentage on
resumption (3.2) is zero and the percentage lost is the resource percentage which was
remaining when the suspension occurred (3.1).
3.5 If more than one suspension in play occurs, the resource percentages lost are calculated
as described in 3.1 to 3.4 and are accumulated to give updated values for the total
resource percentage lost or resource available for the innings. This is done after each
suspension as described in 5.2 and 5.5.
4. Penalties for Slow Over Rates
No overs penalties are imposed for slow over rates and hence slow over rates have no
effect on revised target calculations.
5. Calculation of Revised Targets
5.1 Note the number of overs per innings decided at the start of the game, N. From the table
note the resource percentage available to Team 1 at the start of their innings. (For N = 50
this is 100%.)
5.2 For all suspensions and any premature termination of Team 1’s innings, calculate the
total resource percentage lost using the procedure described in section 3. Subtract this
from the starting resource percentage (5.1) to give R1, the resource which was available
to Team 1 for their innings. Note Team 1’s total score, S.
5.3 There is no overs penalty for slow over rates by either side.
5.4 Note the number of overs allocated to Team 2 at the start of their innings and from the
table note the resource percentage for this number of overs remaining and 0 wicket lost.
This is R2, the resource percentage available to Team 2. If R2 differs from R1, which
will happen if Team 1’s innings was interrupted and/or Team 2’s was delayed, a revised
target must be set. Calculate this revised target, T, as described in 5.6 below.
5.5 For each suspension of play during Team 2’s innings or for premature termination of the
match, update the resource percentage available, R2, by subtracting the resource
percentage lost calculated as in section 3. Calculate the revised target, T, after each
suspension as described in 5.6 below. If the match has to be terminated, the result is
decided by comparing Team 2’s score at the time with the ‘par score’, this being the
value as calculated in the formulae for T in 5.6 below, but without the one run added. If
it is greater, Team 2 win. If it is equal, the match is tied. If it is less, Team 1 win.
5.6 If R2 is less than R1, Team 2’s revised target is obtained by reducing Team 1’s score S
in the ratio of R2 to R1, ignoring any figures after the decimal point, and adding one run
i.e. T = (S x R2/R1) + 1 (rounded down to a whole number, if necessary).
If R2 is equal to R1, no revision is needed and Team 2’s target is one more run than
Team 1’s score.
i.e. T = S + 1
If R2 is greater than R1, calculate the amount of excess resources, R2 – R1, and take this
percentage of the average 50-over total, G50, to give the extra runs needed, ignoring any
figures after the decimal point.
i.e. T = S + (R2 – R1) x G50/100 + 1 (rounded down to a whole number, if necessary)
6. Penalty Runs
6.1 During Team 1’s innings
If penalty runs are awarded to the batting side, then their score shall advance accordingly
and be taken into account when performing any future D/L calculation.
If penalty runs are awarded to the fielding side, then any D/L calculation in between
innings will be performed as normal, and their innings will commence with the score
equivalent to the number of penalty runs that they have been awarded.
6.2 During Team 2’s innings
If penalty runs are awarded to the batting side, then their score shall advance accordingly.
These penalty runs do not affect any subsequent D/L calculation.
If penalty runs are awarded to the fielding side, then there will be no recalculation of any
D/L target. Instead, the target score and the entire schedule of par scores will advance by
the appropriate number of penalty runs. If a loss of overs occurs after such a penalty has
been awarded, then the D/L target will be calculated based upon the original score of the
side batting first, and this target, and all par scores, will then be raised by the appropriate
number of penalty runs
7. The Result and its Description
When a revised target has been calculated and the match has been played out to its
completion, the result is described exactly as in the case of an uninterrupted match; if
Team 2 achieve their revised target they win by the number of wickets they have in hand
when they reach this score; if they fall short of their revised target by exactly one run the
result is a tie, and if they make a lower score Team 1 win by the margin of runs by which
Team 2 fall short of the score needed to achieve a tie.
When a match has to be abandoned with Team 2’s innings in progress (provided
sufficient overs have been bowled to constitute a viable match), the result is decided by
comparing Team 2’s score with the ‘par score’ as defined in 5.5 and the winning margin
is described in terms of the number of runs by which their score differs from the ‘par
score’, regardless of whether Team 1 or Team 2 are the victors.
Whenever a completed game has involved the use of the D/L method, the description
should be qualified by appending ‘(D/L method)’.
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Duckworth/Lewis Method of Re-calculating the Target Score
in an Interrupted Match.
The Professional Edition of the Duckworth/Lewis shall be used in all matches. If any
match is suspended after it has started such that the number of overs available to be faced
by either side is reduced from that determined when the match started, the revised target
shall be computed using the latest version of CODA as distributed by ICC in accordance
with the instructions provided with that software and displayed on the screen.
Where possible, arrangements shall be made for the provision of back-up capability, in
case of computer malfunction, for the operation or continued operation of the
Professional Edition. In the event of computer non-availability or malfunction where no
such provision has been made, the Standard Edition (the method in use prior to October
2003) shall be used.
The regulations given below describe only the operation of the Standard Edition, except
that Clauses 4, 6 and 7 are also applicable to the Professional Edition.
1. Introduction
The D/L method sets revised targets in rain-interrupted limited-overs matches in
accordance with the relative run scoring resources which are at the disposal of the two
sides.
These are not in direct proportion to the number of overs available to be faced, as with
the average run rate method of correction. Instead they depend on how many overs are
to go and how many wickets are down when the interruptions occur.
To calculate the revised targets, you need to know the resources available at the stage of
the match when suspensions and resumption of play occur. All possible values of
resources have been pre-calculated and these are listed in the accompanying table.
The table covers each individual ball in a game of up to 50-overs per side. The figures
given in the table are percentages of the resources available for a complete 50-over
innings.
For matches with less than 50-overs per innings before they start, the resource
percentages available at the start of an innings will be less than 100%. But the same
table and the same method of calculation are used whatever the number of overs per
innings.
The single sheet over-by-over version of the table can be used for cases when play is
suspended before the start of a new over.
When Team 2 (the side batting second) have less run scoring resources at their disposal
than had Team 1 (the side batting first), their target is adjusted downwards using the ratio
of the resources available to the two sides.
But when Team 1’s innings has been interrupted, it often happens than Team 2 have
more resources at their disposal than had Team 1 and it is now necessary to adjust Team
2’s target upwards. In this case the adjustment is based on the runs that would be
expected to be scored on average from the extra resources at their disposal. The number
of these extra runs required is calculated by applying the excess resource percentage to
the average total score in a 50-over innings, referred to here as G50
For matches involving ICC full member nations, including Under-19 international
matches, or for matches between teams that play first class cricket, the value of G50 to
be used at present is 235. For lower levels of the game, G50 should be chosen to
represent the average score expected from the team batting first in an uninterrupted 50
overs-per-innings match. For teams between associate ICC member nations, the
recommended value of G50 is 190; for women’s ODIs, the recommended value is 175.
For U15 internationals, the recommended value is 200. For other levels of the game,
advice should be sought from the ICC.
2. Definitions
• The team batting first are referred to as ‘Team 1’ and the team batting second are
referred to as ‘Team 2’.
• In the table decimal fractions of an over are expressed in standard cricket notation;
i.e. 4.3 overs means 4 overs plus 3 balls.
• The terms ‘target’ and ‘revised target’ are reserved exclusively for the minimum
score Team 2 need to win.
• As with an uninterrupted match, if Team 2 make a score which is one run short of the
target, the match is tied.
The following symbols are used throughout:
N is the number of overs per innings for the match as decided at the moment of
delivery of the first ball of the match.
S is Team 1’s total score.
R1 is the resource percentage (relative to a full 50-over innings) available to Team 1.
R2 is the resource percentage (relative to a full 50-over innings) available to Team 2.
T is Team 2’s target score.
3. Calculation of the Percentage Resource Lost by a Suspension in Play
To compensate for any loss of overs due to a suspension in play during either Team 1’s
or Team 2’s innings, it is necessary first to calculate the resource percentage that has
been lost on account of this suspension.
If the suspension occurs between overs, use the sheet of the table which gives the figures
for whole numbers of overs. If it occurs mid-over, use the sheets of the table which
provide the figures for each individual ball.
3.1 For the start of the suspension in play, from the table note the resource percentage that
remained for the appropriate number of overs/ball left and wickets lost.
3.2 For the resumption of play after the suspension, from the table note the resource
percentage now remaining for the revised number of overs/balls left and for the same
number of wickets lost.
3.3 Subtract the resource percentage in 3.2 from that in 3.1 to give the resource percentage
lost.
3.4 If a suspension in play causes the innings to be terminated, the resource percentage on
resumption (3.2) is zero and the percentage lost is the resource percentage which was
remaining when the suspension occurred (3.1).
3.5 If more than one suspension in play occurs, the resource percentages lost are calculated
as described in 3.1 to 3.4 and are accumulated to give updated values for the total
resource percentage lost or resource available for the innings. This is done after each
suspension as described in 5.2 and 5.5.
4. Penalties for Slow Over Rates
No overs penalties are imposed for slow over rates and hence slow over rates have no
effect on revised target calculations.
5. Calculation of Revised Targets
5.1 Note the number of overs per innings decided at the start of the game, N. From the table
note the resource percentage available to Team 1 at the start of their innings. (For N = 50
this is 100%.)
5.2 For all suspensions and any premature termination of Team 1’s innings, calculate the
total resource percentage lost using the procedure described in section 3. Subtract this
from the starting resource percentage (5.1) to give R1, the resource which was available
to Team 1 for their innings. Note Team 1’s total score, S.
5.3 There is no overs penalty for slow over rates by either side.
5.4 Note the number of overs allocated to Team 2 at the start of their innings and from the
table note the resource percentage for this number of overs remaining and 0 wicket lost.
This is R2, the resource percentage available to Team 2. If R2 differs from R1, which
will happen if Team 1’s innings was interrupted and/or Team 2’s was delayed, a revised
target must be set. Calculate this revised target, T, as described in 5.6 below.
5.5 For each suspension of play during Team 2’s innings or for premature termination of the
match, update the resource percentage available, R2, by subtracting the resource
percentage lost calculated as in section 3. Calculate the revised target, T, after each
suspension as described in 5.6 below. If the match has to be terminated, the result is
decided by comparing Team 2’s score at the time with the ‘par score’, this being the
value as calculated in the formulae for T in 5.6 below, but without the one run added. If
it is greater, Team 2 win. If it is equal, the match is tied. If it is less, Team 1 win.
5.6 If R2 is less than R1, Team 2’s revised target is obtained by reducing Team 1’s score S
in the ratio of R2 to R1, ignoring any figures after the decimal point, and adding one run
i.e. T = (S x R2/R1) + 1 (rounded down to a whole number, if necessary).
If R2 is equal to R1, no revision is needed and Team 2’s target is one more run than
Team 1’s score.
i.e. T = S + 1
If R2 is greater than R1, calculate the amount of excess resources, R2 – R1, and take this
percentage of the average 50-over total, G50, to give the extra runs needed, ignoring any
figures after the decimal point.
i.e. T = S + (R2 – R1) x G50/100 + 1 (rounded down to a whole number, if necessary)
6. Penalty Runs
6.1 During Team 1’s innings
If penalty runs are awarded to the batting side, then their score shall advance accordingly
and be taken into account when performing any future D/L calculation.
If penalty runs are awarded to the fielding side, then any D/L calculation in between
innings will be performed as normal, and their innings will commence with the score
equivalent to the number of penalty runs that they have been awarded.
6.2 During Team 2’s innings
If penalty runs are awarded to the batting side, then their score shall advance accordingly.
These penalty runs do not affect any subsequent D/L calculation.
If penalty runs are awarded to the fielding side, then there will be no recalculation of any
D/L target. Instead, the target score and the entire schedule of par scores will advance by
the appropriate number of penalty runs. If a loss of overs occurs after such a penalty has
been awarded, then the D/L target will be calculated based upon the original score of the
side batting first, and this target, and all par scores, will then be raised by the appropriate
number of penalty runs
7. The Result and its Description
When a revised target has been calculated and the match has been played out to its
completion, the result is described exactly as in the case of an uninterrupted match; if
Team 2 achieve their revised target they win by the number of wickets they have in hand
when they reach this score; if they fall short of their revised target by exactly one run the
result is a tie, and if they make a lower score Team 1 win by the margin of runs by which
Team 2 fall short of the score needed to achieve a tie.
When a match has to be abandoned with Team 2’s innings in progress (provided
sufficient overs have been bowled to constitute a viable match), the result is decided by
comparing Team 2’s score with the ‘par score’ as defined in 5.5 and the winning margin
is described in terms of the number of runs by which their score differs from the ‘par
score’, regardless of whether Team 1 or Team 2 are the victors.
Whenever a completed game has involved the use of the D/L method, the description
should be qualified by appending ‘(D/L method)’.
Thank You for previewing this eBook
You can read the full version of this eBook in different formats:
HTML (Free /Available to everyone)
PDF / TXT (Available to V.I.P. members. Free Standard members can
access up to 5 PDF/TXT eBooks per month each month)
Epub & Mobipocket (Exclusive to V.I.P. members)
To download this full book, simply select the format you desire below
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