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When do we have the power to detect biological interactions in spatial point patterns?

Tuomas Rajala1, Sofia Charlotta Olhede1, David John Murrell2

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Statistical power, not biological processes, may explain rare plant interactions. Insufficient sample sizes and abundance thresholds limit detecting biotic interactions in species-rich communities.

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community ecologydeterminants of plant community diversity and structureinterspecific interactionsneighbourhood analysisnull modelspatial point patternsstatistical power

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Area of Science:

  • Ecology
  • Community Ecology
  • Spatial Statistics

Background:

  • Biotic interactions are crucial for species-rich communities, yet detecting them is challenging.
  • Previous studies suggest interactions are rare, more common in less diverse communities, and involve abundant species.
  • The influence of species abundance, interaction scale, and intensity on detection remains unclear.

Purpose of the Study:

  • To investigate if statistical power explains observed patterns in detecting interspecific interactions.
  • To assess how species abundance, interaction scale, and intensity affect the power of spatial point pattern methods.

Main Methods:

  • Simulated point pattern data for two species with controlled abundances, interaction scales, and intensities.
  • Used spatial point pattern methods to test for pairwise species independence.
  • Analyzed statistical power to detect interactions based on simulated data and variance approximations.

Main Results:

  • Detection power increases with species abundance, interaction intensity, and scale.
  • Detection power decreases with imbalanced species abundances.
  • Simulated power differences, combined with natural abundance distributions, explain key empirical findings.
  • Hundreds of individuals may be needed to detect even strong interactions, suggesting current abundance thresholds are too low.

Conclusions:

  • Low statistical power, rather than biological rarity, may explain the failure to detect interspecific spatial independence.
  • Current methods may require significantly larger sample sizes for robust conclusions on biotic interactions.
  • Future studies should incorporate statistical power considerations when designing experiments and analyzing data in plant communities.