Causal inference · Module 2: Thinking in causal maps

How the map changes the work

How does a causal map change what you do with a strong correlation?

2.7 · 4 min 3 s · published

Before any model runs, a map lists the rival explanations, finds predictions the data could contradict, and asks whether the data can answer the question at all. On Barn Door Farm, a zinc–fibre correlation of 0.98 across five wheat samples became an honest “not yet” and a plan to measure soil, roots and grain at thirty spots.

Key points

  • Each rival explanation is a different arrangement of arrows.
  • A testable implication is a prediction the map makes that the data can contradict.
  • Identification asks whether the data can answer the question at all.
  • A cleverer model run on five samples would just give a confident wrong answer.

Chapters

  1. 0:00 Recap: a good instrument
  2. 0:19 The pattern
  3. 0:39 Rival explanations, and a test
  4. 1:21 Can these data answer it?
  5. 1:57 The proportionate next step
  6. 3:02 What the map changed

Key terms

Identification
Whether the data can answer a causal question at all, decided before any model runs. A causal map shows which back doors must be closed and whether the variables needed to close them were measured. If not, the honest answer is “not yet”, because a cleverer model would only give a confident wrong answer.
Testable implication
A prediction a causal map makes that data could contradict. If bran is a common cause of zinc and fibre, then among samples with the same bran fraction, zinc and fibre should stop moving together. Checking implications like this can rule a rival explanation in or out before anything is changed on the farm.
Proportionate next step
The smallest step that can answer the question. Not every promising pattern calls for a field trial; many questions need only one or two steps, such as completing the records, measuring what’s missing or learning from changes already happening. A trial, which asks the most of a farm, is chosen when the evidence points to it.
Causal map (DAG)
A diagram that draws each thing that varies as a box and each direct effect as an arrow, with no numbers. Also called a directed acyclic graph: arrows point one way and no route returns to its start. Sewall Wright’s path diagrams of 1921 were the first. A map puts assumptions where experts can check them.

Transcript

Last time's quick check: a good instrument moves the treatment, and has no other route to the outcome. Today we put the whole module to work on one real case. Back to the wheat farm from the start of the module. Five grain samples from one harvest. Grain zinc tracks fibre with a correlation of 0.98.

Without a map the temptation is obvious: whatever raised the fibre raised the zinc, so let's do more of it. A map does three things before any model runs. First, it lists the rival explanations. The published case asks several questions of the same pattern. Could a foliar zinc spray explain it? The farming programme? Nitrogen? The structure of the grain itself? Which soil pathways might be involved? Each is a different arrangement of arrows.

Second, it finds what can be tested. If bran is a common cause of zinc and fibre, then among samples with the same bran fraction, zinc and fibre should stop moving together. That's a testable implication: a prediction the map makes that the data can contradict.

Third, the map asks the hardest question first: can these data answer the question at all? That's called identification. Here, the answer is not yet. Five samples from one season. The soil values on the published page are illustrative, not measured on the farm. Two samples have provisional field links. And for the foliar zinc question, baseline soil sits on a back door and hasn't been measured.

No algorithm fixes that. A cleverer model run on five samples would just give a confident wrong answer. So the map becomes a plan. The published case lays out six possible next steps: start from the published evidence; complete or correct the records; measure what's missing; learn from changes already happening; run a controlled trial; or hold off on changing practice.

Here, the records come first: confirm the two uncertain field links and fill in the missing sowing date. Then measure what's missing: soil, roots and grain at the same thirty spots, six in each field, followed through a season, with yield and bran fraction recorded too.

No treatment is applied and nothing about the farming changes. The case is clear about its limits. It could show whether soil biology and grain minerals move together, and whether bran fraction explains the zinc–fibre pattern. It couldn't prove that a practice causes the difference. And five samples from one season don't justify changing practice yet.

Look at what the map did. Before it, the obvious move was to act on a correlation of 0.98. After it: a list of rival explanations, a test that could rule one out, an honest "not yet", and a plan to collect data that could actually answer the question. That's what causal inference changes. Not cleverer arithmetic first, but better questions first.

Questions

What is identification in causal inference?

Asking whether the data can answer the causal question at all, before any model runs. In the wheat case the answer was “not yet”: five samples from one season, soil values on the published page that were illustrative rather than measured, two provisional field links, and baseline soil on a back door that hadn’t been measured.

What are the six possible next steps in the published wheat case?

Start from the published evidence; complete or correct the records; measure what’s missing; learn from changes already happening; run a controlled trial; or hold off on changing practice. Here the records came first, then measuring soil, roots and grain at the same thirty spots through a season, with yield and bran fraction recorded too.

Sources

  1. Vitagri (n.d.). Barn Door Farm wheat, harvest 2025: grain zinc and fibre across five samples [published case study]. vitagri.org. vitagri.org/predictive-model/

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