The D/L method, more accurately known as the Duckworth-Lewis-Stern (DLS) method, is a mathematical formulation used in cricket to recalculate target scores in limited-overs matches interrupted by weather or other delays. It ensures a fair outcome when a match cannot proceed as initially planned. The core of the D/L method lies in its ability to assess available resources and recalculate the target based on those resources.
Understanding the D/L Method
The D/L method is based on the concept of resources remaining for each team in a limited overs match. This is not just about the remaining overs, but also the remaining wickets. A team with ten wickets in hand has more resources than a team with only five wickets remaining, even if they both have the same number of overs to play.
- Resource Calculation: The method calculates the available resources remaining by considering combinations of overs remaining and wickets in hand.
- Combined Resources Percentage: All combinations of overs and wickets are translated into a combined resources remaining percentage figure. A full innings (e.g., 50 overs with 10 wickets) is equivalent to 100%.
- Reference Tables: These percentages are stored in published tables or computer systems, allowing for quick calculations during matches. The core of the D/L method converts all possible combinations of overs (or, more accurately, balls) and wickets left into a combined resources remaining percentage figure (with 50 overs and 10 wickets = 100%), and these are all stored in a published table or computer.
How the D/L Method Works
When a match is interrupted, the D/L method compares the resources available to each team and adjusts the target accordingly. Here's a simplified overview:
- Initial Innings: A team sets a total by using all resources available to them.
- Interruption: If the second innings is interrupted, the resources available to the chasing team are recalculated.
- Target Adjustment: The target is adjusted, taking into account the new resources. If the second team has fewer resources available due to the interruption, the target will be reduced. If they have more, the target may increase.
- Result: The result of the match is calculated taking into account any revisions to the targets.
Example
Let's say Team A scores 250 runs in 50 overs. Team B starts their chase, and after 20 overs, with 5 wickets down, rain stops play. Without the D/L method, the match would be abandoned. However, with the D/L method, the resources (overs and wickets) available to both teams are evaluated, and a new target is set for Team B. If Team B had fewer resources available, the new target might be reduced to 180 for example.
Key Features of the D/L Method
- Fairness: Provides a fair way to decide results when interruptions occur.
- Adaptability: Accommodates various types and lengths of interruptions.
- Wide Adoption: Universally used in all professional limited-overs cricket matches.
- Mathematical Basis: Based on statistical analysis of how teams score in various match situations.