Canonical method

Structural analysis: ranking the variables before the scenarios

What must be established

A useful analysis keeps its controls visible.

  1. 01

    Delimit the system, its horizon and its perimeter, and list variables that are defined, sourced and free of duplicates.

  2. 02

    Score every cell with a single question: does the variable of the row directly influence the one of the column?

  3. 03

    Check that the ranking holds when the disputed scores are changed.

RESULT OBTAINED

A short and argued list of driving and relay variables, handed over to the morphological analysis.

Decision reference

Make the next choice more explicit.

DECISION SUPPORTED

Which variables really steer the system under study, before scenarios are built?

DELIVERABLE TO KEEP

A short and argued list of driving and relay variables, handed over to the morphological analysis.

NEXT ELEMENT TO EXAMINE

Morphological analysisExplore →

Ask a single question of every cell

The quality of the analysis rests on the discipline of the question asked. For each pair, the group asks whether the variable of the row directly influences the one of the column, and with what intensity: none, weak, moderate or strong, scored from 0 to 3. Two words carry the weight. Directly rules out the influences that travel through a third variable, since the computation of indirect influences will recover them later; including them here would amount to counting them twice. Influence is neither correlation nor proven causality: it is a judgement, and it is written as such, with its justification and its level of confidence. The list of variables settles the rest: two overlapping variables inflate their shared driving power artificially, a variable drawn too wide absorbs the others, a missing variable will never reappear. Each one therefore receives a short definition, a perimeter and a source. The diagonal stays empty: a variable does not influence itself.

  • Direct influence
  • Score from 0 to 3
  • Justification and confidence
  • Definitions without overlap

Read the map without turning it into a verdict

The sum of a row gives the driving power of the variable, that is, what it sets in motion; the sum of a column gives its dependence, what sets it in motion. Placed on a map, with dependence on the horizontal axis and driving power on the vertical one, the variables fall into four zones: driving, weakly dependent and strongly influential; relay, at once influential and influenced, therefore unstable; dependent, which undergo; autonomous, barely connected to the rest. The thresholds that separate these zones are a convention, usually the mean of the scores in the matrix: moving them moves the borders, and a variable close to a threshold may change zone although nothing has changed in the system. The map therefore serves to debate, not to settle. A variable is neither retained nor discarded on its position alone: it is so by an argument, and the exclusion of a driving variable is justified in writing. Relay variables deserve particular attention: they are the ones that propagate shocks.

  • Driving power and dependence
  • Four zones
  • Conventional threshold
  • Argued exclusion

What indirect influences reveal

A variable may look unobtrusive and weigh heavily by rebound: it influences a variable that influences many others. These paths are recovered by multiplying the matrix by itself, twice, three times, then by observing the ranking obtained at each power. In practice the ranking stabilises quickly; the work stops once it no longer changes from one power to the next. What matters is not the final ranking, but its gap with the direct one: a variable that gains several places acts mainly through its relays, and it would be imprudent to treat it as secondary; a variable that loses places owes its apparent rank to an influence without continuation. This test completes the one on stability: the most debated scores are altered, then the retained list is checked for change. If it changes, the list is not ready, and it is the debate that must be resumed, not the calculation.

  • Indirect paths
  • Stop at stability
  • Gap in rank
  • Test of disputed scores

DECISION ASSET

Matrix of direct influences

Every pair of variables receives a direct influence rating, then the row and column sums place the variable on the plane.

Variables

Input
Definition and source
Control
Duplicate or overlap?
Output
Settled list

Rating

Input
Influence from 0 to 3
Control
Direct influence?
Output
Completed matrix

Sums

Input
Rows and columns
Control
Driving or dependent?
Output
Position on the plane

Indirect

Input
Powers of the matrix
Control
Does the rank change?
Output
Rank shift
Decision enabled

Choose the variables that will carry the scenarios.

Guardrail

No variable is retained on its position alone. Every exclusion is justified in writing.

Resources

Reuse the method and verify its foundations.

Download the structural matrix

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