1 / 13

Lecture notes 1, 4910 spring 2005, FRF Spatial environmental models

Transfer coefficient. Source (Point, Mobile, Diffuse). a ij. Environmental receptor. Lecture notes 1, 4910 spring 2005, FRF Spatial environmental models. Spatial configuration Key variable: transfer coefficient a ij. The Generic model of spatially distributed pollutants.

fairly
Download Presentation

Lecture notes 1, 4910 spring 2005, FRF Spatial environmental models

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Transfer coefficient Source (Point, Mobile, Diffuse) aij Environmental receptor Lecture notes 1, 4910 spring 2005, FRFSpatial environmental models • Spatial configuration • Key variable: transfer coefficient aij

  2. The Generic model of spatially distributed pollutants • Source abatement cost function • Deposition of pollutants in the environment

  3. Uniformly distributed pollutants • Uniform mix: multiple recipients

  4. Non-uniformly distributed pollutants • Non-uniform mix:

  5. Structured transfer: river pollution • At receptor j: a ranking of transfer coefficients starting upstream at source 1 and ending at nearest source Nj

  6. The spatial social problem • General social problem formulation with damage function

  7. The spatial social problem, cont. • The general first order condition • Non-uniformly mixed: Source marginal abatement cost equal to social marginal damage weighted with transfer coefficients. NB! In general different marginal costs between sources.

  8. Cost effective solutions, cont. • River pollution • Uniformly mixed • Marginal abatement cost equal for all sources and equal to total marginal damage

  9. The pollutant tax solution • Source decision problem • The tax on pollutants is source specific, and should be set equal to the weighted marginal damage in the optimal case. • Uniform distribution: tax rate equal for sources

  10. Ambient standard • Environmental service of receptors • Damage function • The physical ambient standard is the level of deposition of pollutants, dj

  11. Environmental policy in practice • Formulating limits for dj; dj* • Social problem: • The Lagrangian (Economists’ mathematical manual; Kuhn – Tucker, maximisation)

  12. Environmental policy in practice, cont. • First order conditions • Interpretation: Marginal abatement costs equal to shadow prices on ambient constraints weighted with transfer coefficients

  13. Environmental policy in practice, cont. • Interpretation of shadow price • Envelope theorem • Shadow price positive for binding constraints

More Related