{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"945dc620c3160e00465d66e9e1ea6a9967ac1b4f17925262d8d3a562b083e0b5","created":"2026-10-03T07:17:57Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["04a07534a4674012205049a37eca4242997448e6585b6a3c8772245c6d4fc256","5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"83b8f3964d4eb8c94cd0de1b295a216a7c299226d32aef8e2478c614e65114c9","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"identification","assisted_by":[],"external_id":"bio.fitness-landscapes.accessible-paths","kind":"well-posed","literature_status":"partially-resolved","n":"1","parents":[{"note":"","parent_revision":"04a07534a4674012205049a37eca4242997448e6585b6a3c8772245c6d4fc256","relation":"special_case"}],"plain":"For evolution to reach the best genome, there must be a route of single mutations along which fitness never decreases. How often such routes exist in real landscapes with many sites is unknown.","posed_since":"","precise":"In random-field models (house-of-cards, rough Mount Fuji, NK), the number of fitness-monotonic paths from a genotype to the global optimum in a sequence space of $L$ sites (binary or four-letter) varies with $L$ in ways set by ruggedness, including path-percolation transitions. Determine from combinatorially complete or near-complete empirical landscapes ($L\\ge10$ to 15 sites) which model class applies, and extrapolate the probability that the global peak is accessible as $L$ grows.","problem_ref":null,"references":"","settled_by":"Complete fitness maps of at least 10 to 15 interacting sites with path statistics compared against the random-field model classes.","status_note":"A combinatorially complete $4^9$ DHFR landscape (2023) was rugged (514 peaks) yet its highest peaks were accessible (Science, doi 10.1126/science.adh3860); extrapolation to larger $L$ is open.","title":"Accessibility of fitness peaks in large sequence 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