--- abstract: "We argue, using a mathematical model based on asymptotic limit theorems of probability theory, that mesoscale ecosystem resilience shifts can entrain punctuated events of gene expression and other cognitive phenomena on more rapid time scales, and, in part through such means, slower changes induced by selection pressures, triggering punctuated equilibrium Darwinian evolutionary transitions on geologic time scales. The model reduces ecosystem, cognitive, and Darwinian genetic dynamics to a least common denominator of information sources interacting by crosstalk at markedly different rates. Pettini's 'topological hypothesis', via a homology between information source uncertainty and free energy density, generates a statistical model of sudden coevolutionary phase transition based on the Rate Distortion and Shannon-McMillan Theorems of information theory which links all three levels. Holling's (1992) extended keystone hypothesis regarding the particular role of mesoscale phenomena in entraining both slower and faster dynamical structures produces the result. A main theme is the necessity of a 'cognitive paradigm' for gene expression, mirroring I. Cohen's cognitive paradigm for immune function." altloc: [] chapter: ~ commentary: ~ commref: ~ confdates: ~ conference: ~ confloc: ~ contact_email: ~ creators_id: - wallace@pi.cpmc.columbia.edu - rdwall@ix.netcom.com creators_name: - family: Wallace given: Rodrick honourific: Dr. lineage: '' - family: Wallace given: Deborah honourific: Dr. lineage: '' date: 2008-01-09 date_type: submitted datestamp: 2008-01-15 23:56:22 department: ~ dir: disk0/00/00/59/03 edit_lock_since: ~ edit_lock_until: ~ edit_lock_user: ~ editors_id: [] editors_name: [] eprint_status: archive eprintid: 5903 fileinfo: /style/images/fileicons/application_pdf.png;/5903/1/newresil3.pdf full_text_status: public importid: ~ institution: ~ isbn: ~ ispublished: ~ issn: ~ item_issues_comment: [] item_issues_count: 0 item_issues_description: [] item_issues_id: [] item_issues_reported_by: [] item_issues_resolved_by: [] item_issues_status: [] item_issues_timestamp: [] item_issues_type: [] keywords: coevolution cognitive paradigm gene expression information theory phase transition lastmod: 2011-03-11 08:57:03 latitude: ~ longitude: ~ metadata_visibility: show note: ~ number: ~ pagerange: ~ pubdom: TRUE publication: ~ publisher: ~ refereed: FALSE referencetext: ~ relation_type: [] relation_uri: [] reportno: ~ rev_number: 24 series: ~ source: ~ status_changed: 2008-01-15 23:56:22 subjects: - cog-psy - bio-evo succeeds: ~ suggestions: ~ sword_depositor: ~ sword_slug: ~ thesistype: ~ title: 'Punctuated equilibrium in statistical models of generalized coevolutionary resilience: How sudden ecosystem transitions can entrain both phenotype expression and Darwinian selection' type: preprint userid: 1845 volume: ~