eprintid: 4478 rev_number: 23 eprint_status: archive userid: 351 dir: disk0/00/00/44/78 datestamp: 2016-01-15 02:05:52 lastmod: 2021-08-27 17:15:11 status_changed: 2016-01-15 02:05:52 type: monograph metadata_visibility: show item_issues_count: 2 creators_name: Gragnani, A. creators_name: Milik, A. creators_name: Prskawetz, A. creators_name: Sanderson, W.C. creators_id: 7287 creators_id: 2025 creators_id: 1631 title: Persistent Unstable Equilibria in Wonderland ispublished: pub internal_subjects: iis_ecn internal_subjects: iis_env internal_subjects: iis_mod internal_subjects: iis_pop divisions: prog_pop abstract: Models of the interactions between population, economy, and environment often contain nonlinear functional relationships and variables that vary at different speeds. These properties foster apparent unpredictabilities in system behavior. Using a simple deterministic model of demographic, economic and environmental interactions, we illustrate the usefulness of geometric singular perturbation theory and local bifurcation theory. In particular we show how it is possible to obtain analytic expressions for: (1) the level of emissions above which environmental deterioration begins, (2) the time it takes from reaching the critical level of emissions to the beginning of rapid environmental deterioration, and (3) the level of emissions at the time that rapid deterioration begins. Because our results are analytic, they make the outcomes of demographic, economic, and environmental interactions more predictable, and, therefore, potentially more manageable. date: 1995-11 date_type: published publisher: WP-95-118 iiasapubid: WP-95-118 price: 10 creators_browse_id: 1294 creators_browse_id: 100 creators_browse_id: 265 full_text_status: public monograph_type: working_paper place_of_pub: IIASA, Laxenburg, Austria pages: 29 coversheets_dirty: FALSE fp7_type: info:eu-repo/semantics/book citation: Gragnani, A. , Milik, A., Prskawetz, A. , & Sanderson, W.C. (1995). Persistent Unstable Equilibria in Wonderland. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-95-118 document_url: https://pure.iiasa.ac.at/id/eprint/4478/1/WP-95-118.pdf