The best replacement for causality is correlation.

The best alternatives to causality are rated as following:
★★★★★  correlation
★★★★  teleology
★★★  causation
★★  association
★★  determinism
★  coincidence
  chance
  randomness
  choice
  casualty
  synchronicity
  relationship
  prediction
  linear causality

Your alternative for causality is not listed? Suggest!
Speaking about causality, one probably shouldn't forget about correlation.

Other search terms related to causality and their ratings are:
★★★★★ correlation
★★★★★ determinism
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Google Trends

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causality
correlation
teleology