{"id":"W2063866470","doi":"10.1016/j.aml.2013.04.002","title":"Optimal control and long-run dynamics for a spatial economic growth model with physical capital accumulation and pollution diffusion","year":2013,"lang":"en","type":"article","venue":"Applied Mathematics Letters","topic":"Economic theories and models","field":"Economics, Econometrics and Finance","cited_by":34,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Guelph","funders":"","keywords":"Production (economics); Cobb–Douglas production function; Diffusion; Function (biology); Work (physics); Capital (architecture); Capital accumulation; Mathematics; Physical capital; Growth model; Coupling (piping); Pollution; Economics; Econometrics; Mathematical economics; Microeconomics; Human capital; Economic growth; Engineering; Geography; Physics; Ecology; Thermodynamics","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":[0.0001308144,0.0001990201,0.0003989908,0.00008222727,0.0001130169,0.0001238004,0.00008277046,0.00007003675,0.000009777769],"category_scores_gemma":[0.000006835654,0.0002002149,0.00004849547,0.000017864,0.0001041941,0.000234307,0.00004301345,0.00007449464,0.00002488427],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001121329,"about_ca_system_score_gemma":0.000008381217,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001219218,"about_ca_topic_score_gemma":0.00003561467,"domain_scores_codex":[0.9990357,0.000002187562,0.0003437385,0.0003506188,0.0000205588,0.0002472125],"domain_scores_gemma":[0.999405,0.0000656488,0.0002693968,0.0001700497,0.00001175482,0.00007817728],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0000569085,0.00006602552,0.0006295575,0.00009499828,0.00006894859,1.826074e-7,0.001278337,0.02662205,0.000558959,0.9700913,0.00008631594,0.0004463916],"study_design_scores_gemma":[0.001551318,0.00004696998,0.0009488487,0.000006890007,0.0000211835,0.00000334509,0.00009945926,0.8636759,0.00003157724,0.1333739,0.000005103066,0.0002355241],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5689681,0.000009577214,0.4293274,0.0008286159,0.00002225885,0.0005180252,0.00008848068,0.00001759366,0.000219992],"genre_scores_gemma":[0.9841651,0.0000105135,0.01510552,0.0003538638,0.00007960965,0.0001849884,0.00003250275,0.0000407465,0.00002715129],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8370538,"threshold_uncertainty_score":0.8164526,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01045965257441389,"score_gpt":0.1918601239719631,"score_spread":0.1814004713975493,"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."}}