1975
DOI: 10.1080/00022470.1975.10468116
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Rollback Modeling: Basic and Modified

Abstract: The rollback or proportional model is widely used in pollution control calculations and included in the guidelines for preparing and evaluating state implementation plans. Its basis and limitations are not widely known or understood. In this paper, the basis and limitations of rollback are listed and discussed, and extensions of basic rollback are proposed.

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Cited by 21 publications
(10 citation statements)
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“…Emissions inventory models are often used to develop control strategies by linear rollback modeling (Barth, 1970;deNevers and Morris, 1975;Cass, 1981;Cass andMcRae, 1981, 1983). The linear rollback model assumes that atmospheric concentrations in excess of background are proportional to aggregate emission rates.…”
Section: Step 2: Compile Emissionsmentioning
confidence: 99%
“…Emissions inventory models are often used to develop control strategies by linear rollback modeling (Barth, 1970;deNevers and Morris, 1975;Cass, 1981;Cass andMcRae, 1981, 1983). The linear rollback model assumes that atmospheric concentrations in excess of background are proportional to aggregate emission rates.…”
Section: Step 2: Compile Emissionsmentioning
confidence: 99%
“…In this category of models, spatial diffusion is either neglected or highly simplified. Early such models have been developed by Gifford and Hanna (1973), and generalized by Hone (1974) and de Nevers and Morris (1975). They treat urban areas as uniform pollution sources, with no account for specific sources nor for the directionality of the diffusion process.…”
Section: Aggregate Modelsmentioning
confidence: 99%
“…Empirical models are those in which a historical data base is used to develop a functional dependence between source emissions and air quality. These models, termed statistical and rollback type models, [2] assume some proportional relationship between the rate of emissions and atmospheric pollution levels. In Its simplest form, the proportionality Is taken to be strictly linear.…”
Section: B Empirical and Deterministic Modelsmentioning
confidence: 99%
“…Data on topography are generally not employed so that these models are also valid only for use in regions of fairly level terrain, Some of the most sophisticated species -conservation-of-mass models utilize topography and inversion base height data. Since the mixing depth is in general not known for all times and points within a computational grid, an interpolation scheme is employed to give the required spatial and (2) where R is the fractional reduction in emissions required, GF is the growth factor, PAQ is the present air quality, STD is the air qual ity standard and b is again the background concentration. The assumption of linearity in this form of rollback has validity only when applied to stable pollutants such as carbon monoxide.…”
Section: B Empirical and Deterministic Modelsmentioning
confidence: 99%