{"id":"W71587712","doi":"","title":"The notion of stability in mathematics, biology, ecology and environmental sustainability","year":2009,"lang":"en","type":"article","venue":"","topic":"Advanced Thermodynamics and Statistical Mechanics","field":"Physics and Astronomy","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Theoretical ecology; Ecology; Systems ecology; Lyapunov function; Interspecific competition; Context (archaeology); Neighbourhood (mathematics); Ecological stability; Equilibrium point; Stability (learning theory); Mathematics; Abiotic component; Ecosystem; Mathematical economics; Computer science; Biology; Physics; Differential equation; Sociology; Population; Nonlinear system","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001609405,0.00004865714,0.00009347744,0.000007889924,0.00003707081,0.000003146708,0.00004217103,0.00001877661,0.00003683785],"category_scores_gemma":[0.00002004902,0.00003236255,0.00001535471,0.00002098236,0.00009698582,0.00001875108,0.00002177058,0.00005446206,3.08918e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002806046,"about_ca_system_score_gemma":0.000008643096,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002069314,"about_ca_topic_score_gemma":0.00001767192,"domain_scores_codex":[0.9995949,0.00002918448,0.0001544612,0.0000932554,0.00002191953,0.0001062703],"domain_scores_gemma":[0.9996593,0.0001685895,0.00003934682,0.0001053986,0.000009175937,0.00001815988],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000006580668,0.000137379,0.01312292,0.000002211017,0.000002418061,5.153113e-8,0.00005670921,0.00000800443,0.0007343404,0.9506826,1.961718e-7,0.03524652],"study_design_scores_gemma":[0.0001248681,0.0000737861,0.04169919,6.716091e-7,0.000001981311,6.099074e-8,0.001044709,0.02078888,0.0002483383,0.9359732,0.00001012126,0.00003415841],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9017264,0.000008713289,0.09683727,0.0002039486,0.00001390222,0.0001599288,0.0000323464,0.000002718718,0.001014809],"genre_scores_gemma":[0.9985479,0.000003113269,0.001411489,0.000005680105,0.000004645766,0.000003628028,0.000007530544,0.000001589283,0.00001449341],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09682147,"threshold_uncertainty_score":0.1319706,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.004855028464823203,"score_gpt":0.2430806044028639,"score_spread":0.2382255759380407,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}