{"paper":{"title":"Global attractors and extinction dynamics of cyclically competing species","arxiv_id":"1305.0119","primary_cat":"q-bio.PE","submitted_at":"2013-05-01T08:06:30+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13-20260917 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v1","sentences":[{"i":0,"p":1.0,"id":"s0","own":false,"role":"background","text":"Transitions to absorbing states are of fundamental importance in non-equilibrium physics as well as ecology.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.04,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":1.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":1,"p":1.0,"id":"s1","own":false,"role":"background","text":"In ecology, absorbing states correspond to the extinction of species.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.05,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.03,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":1.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":2,"p":0.99,"id":"s2","own":true,"role":"contribution","text":"We here study the spatial population dynamics of three cyclically interacting species.","hedge":{"p":0.93,"label":"asserted"},"own_p":0.8,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.44,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.01,"limitation":0.0,"future_work":0.0,"contribution":0.99,"interpretation":0.0}},{"i":3,"p":0.77,"id":"s3","own":false,"role":"method","text":"The interaction scheme comprises both direct competition between species as in the cyclic Lotka-Volterra model, and separated selection and reproduction processes as in the May-Leonard model.","hedge":{"p":0.97,"label":"asserted"},"own_p":0.35,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.22,"role_probabilities":{"gap":0.0,"method":0.77,"result":0.0,"background":0.05,"limitation":0.0,"future_work":0.0,"contribution":0.18,"interpretation":0.0}},{"i":4,"p":0.93,"id":"s4","own":true,"role":"result","text":"We show that the dynamic processes leading to the transient maintenance of biodiversity are closely linked to attractors of the nonlinear dynamics for the overall species' concentrations.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.93,"main_claim_p":0.51,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.93,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.03,"interpretation":0.04}},{"i":5,"p":0.99,"id":"s5","own":true,"role":"result","text":"The characteristics of these global attractors change qualitatively at certain threshold values of the mobility, and depend on the relative strength of the different types of competition between species.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.87,"main_claim_p":0.19,"quantitative":false,"quantitative_p":0.11,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.99,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.01}},{"i":6,"p":0.78,"id":"s6","own":true,"role":"interpretation","text":"They give information about the scaling of extinction times with the system size and thereby the stability of biodiversity.","hedge":{"p":0.98,"label":"asserted"},"own_p":0.74,"main_claim_p":0.15,"quantitative":false,"quantitative_p":0.06,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.21,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.78}},{"i":7,"p":0.88,"id":"s7","own":true,"role":"method","text":"We define an effective free energy as the negative logarithm of the probability to find the system in a specific global state before reaching one of the absorbing states.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.88,"main_claim_p":0.07,"quantitative":false,"quantitative_p":0.08,"role_probabilities":{"gap":0.0,"method":0.88,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.12,"interpretation":0.0}},{"i":8,"p":0.71,"id":"s8","own":true,"role":"interpretation","text":"The global attractors then correspond to minima of this effective energy landscape and determine the most probable values for the species' global concentrations.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.75,"main_claim_p":0.14,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.09,"result":0.17,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.03,"interpretation":0.71}},{"i":9,"p":0.93,"id":"s9","own":false,"role":"interpretation","text":"As in equilibrium thermodynamics, qualitative changes in the effective free energy landscape indicate and characterize the underlying non-equilibrium phase transitions.","hedge":{"p":0.93,"label":"asserted"},"own_p":0.22,"main_claim_p":0.09,"quantitative":false,"quantitative_p":0.06,"role_probabilities":{"gap":0.0,"method":0.01,"result":0.01,"background":0.05,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.93}},{"i":10,"p":0.91,"id":"s10","own":true,"role":"contribution","text":"We provide the complete phase diagrams for the population dynamics, and give a comprehensive analysis of the spatio-temporal dynamics and routes to extinction in the respective phases.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.26,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.09,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.91,"interpretation":0.0}}]},"compiled":{"main_claim":{"p":0.94,"text":"We show that the dynamic processes leading to the transient maintenance of biodiversity are closely linked to attractors of the nonlinear dynamics for the overall species' concentrations.","location":"abstract s4","hedge_strength":{"p":1.0,"label":"asserted"}},"provenance":{"route":{"via":"OpenRouter","model":"classifier-1.13","endpoint":"https://openrouter.ai/api/v1/systemone","provider":"TypeSafe"},"packing":"one request per paper","requests":1,"input_tokens":8114,"cost_usd_reported":0.000341},"compiled_at":"2026-09-23","bank_version":"abstract-p1-20260923","model_version":"classifier-1.13-20260917","abstract_states":{"claims_first":0.03,"states_limitation":0.06,"human_participants":0.01,"controlled_comparison":0.02,"randomized_assignment":0.01,"states_quantitative_result":0.07,"compares_with_prior_results":0.11,"mentions_code_or_data_availability":0.02},"evidential_basis":{"p":0.85,"value":"simulation or computation","probabilities":{"argument":0.02,"literature":0.0,"proof_or_derivation":0.13,"analysis_of_existing_data":0.0,"observation_or_experiment":0.0,"simulation_or_computation":0.85}},"contribution_type":{"p":0.68,"value":"theoretical result","probabilities":{"review":0.0,"method_or_tool":0.01,"empirical_study":0.0,"simulation_study":0.31,"theoretical_result":0.68,"dataset_or_benchmark":0.0,"position_or_commentary":0.0}},"contribution_statement":{"p":0.74,"text":"We provide the complete phase diagrams for the population dynamics, and give a comprehensive analysis of the spatio-temporal dynamics and routes to extinction in the respective phases.","location":"abstract s10"}},"coverage":{"tier":"abstract","levels_run":["P abstract"],"not_examined":["full text","figures and tables","references and citing sentences","relations to other papers"],"sources_read":["arXiv listing abstract v1"],"levels_not_run":["S sections","T body sentences","C citations","R cross-paper relations"],"sentences_examined":11,"sentences_in_abstract":11},"measured_accuracy":{"url":"https://pith.science/accuracy","measured_on":"2026-10-02","method":"two independent model families labelled a fresh random sample blind; the figure is how often the published label matches their consensus","sentence_role_agreement":0.92,"main_claim_agreement":0.908,"typed_citation_agreement":0.933,"typed_citation_agreement_95_interval":[0.917,0.945],"review_comments_accurate":0.758,"review_comments_accurate_95_interval":[0.684,0.82],"review_caught_admitted_error_found_or_related":0.448}}