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Bounding phenotype transition probabilities via conditional complexity.

Kamal Dingle1, Pascal Hagolani1, Roland Zimm2

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|October 7, 2025
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Summary
This summary is machine-generated.

Genotype-phenotype maps link genes to traits and influence evolution. A new bound estimates phenotype transition probabilities from genetic mutations, showing potential for prediction without detailed genetic map knowledge.

Keywords:
Kolmogorov complexityalgorithmic probabilitybiological evolutiongenotype–phenotype mapspredictionsimplicity bias

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Area of Science:

  • Evolutionary Biology
  • Systems Biology
  • Algorithmic Information Theory

Background:

  • Genotype-phenotype maps are crucial for understanding biological organization and evolution.
  • Genetic mutations' effects are modulated by the structure of these maps.
  • Algorithmic information theory offers tools to bound mutation-induced phenotype transitions.

Purpose of the Study:

  • To evaluate the effectiveness of an algorithmic information theory-based bound for predicting phenotype transition probabilities.
  • To assess the bound's performance across diverse genotype-phenotype map models.
  • To determine if phenotype transition probabilities can be estimated directly from phenotypes.

Main Methods:

  • Applied an upper bound based on conditional complexity to various genotype-phenotype map models.
  • Included models for circadian rhythm, gene regulatory networks, tooth morphology, self-assembly, and protein folding (HP model).
  • Assessed predictive performance at three distinct levels.

Main Results:

  • The bound provided meaningful estimates of phenotype transition probabilities across all tested complex systems.
  • Predictive performance varied but remained significant across diverse biological models.
  • The study confirmed the utility of the bound in estimating transition likelihoods.

Conclusions:

  • The proposed bound effectively estimates phenotype transition probabilities derived from genetic mutations.
  • Phenotype transition probabilities can be predicted using phenotype information alone, reducing reliance on detailed genotype-phenotype maps.
  • This approach offers a novel way to understand evolutionary dynamics and genetic variation impacts.