Surface Air Pollutant Concentration Frequency Distributions: Implications for Urban Modeling

Knox, J.B.; Länge, R.

doi:10.1080/00022470.1974.10469893

Cited by 10 publications

(2 citation statements)

References 6 publications

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“…The distribution of pollutants around the source of emission is represented in the form of a vector random field, which at a given point of the area is turned into a vector random variable (Yadrenko, 1974). Such a field at this point is characterized by n-dimensional density of a random concentrations distribution (Knox & Lange, 1974;Venttsel, 1998;Hopke, 2008).…”

Section: Methodsmentioning

confidence: 99%

Assurance of guaranteed atmosphere air quality for a point emission source

Polishchuk¹,

Falko²,

Polishchuk³

et al. 2019

Min. miner. depos.

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Purpose. To solve the task of assessing the components of the guaranteed atmosphere air quality P MPj , P MP depending the maximum pollutant concentrations for a point source of emissions at the stage of designing in various industries (mining, metallurgical, chemical, electric power and others).Methods. The distribution of pollutant concentrations is represented as a vector random field, which at a given point of the area is turned into a vector random variable of concentrations and is characterized by a multi-dimensional density of distribution. To determine the density, the mathematical Berland's model of the concentrations distribution is applicable in Ukraine, in which the concentration arguments (design parameters of the source and environmental characteristics) are considered as random variables. Having assumed that the distribution density follows the normal law, using the method of function linearization of the random arguments based on the limit theorems of probability theory, its numerical characteristics have been obtained: mathematical expectations of concentrations, its mean square deviations, and correlation coefficients between concentrations. Findings.A new concept has been introduced of guaranteed air quality for populated areas. Based on predictive assessment, the studies have been carried out to ensure it at the stage of designing the facilities that have a point source of pollutant emissions. In accordance with the methodology, a mathematical model of the task of assessing and ensuring the guaranteed quality of atmosphere air has been obtained. According to the determination of the guaranteed atmosphere air quality, its measure is presented as a multi-dimensional probability integral of non-exceedance by the concentrations of at least one pollutant of its maximum one-time permissible concentrations with obtaining the numerical characteristics.Originality. As a result of studies, a mathematical model has been developed for the first time of the task of assessing and ensuring the guaranteed quality of atmosphere air, characterized by the probability values P MP , P MPj , when it is polluted by emissions from a point source. The control of the probability value P MP is performed by selecting the design source parameters so that its value is close to 1. Practical implications.The implementation of the developed model in construction projects with high probability, close to 1, ensures that at least one pollutant by its concentration will not exceed its normative maximum one-time permissible concentration, that is not implemented now. According to the maximum permissible concentration MPC MPj , determination, it is guaranteed the absence of the pollution effect on a person and the occurrence of corresponding diseases.

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Section: Methodsmentioning

confidence: 99%

Assurance of guaranteed atmosphere air quality for a point emission source

Polishchuk¹,

Falko²,

Polishchuk³

et al. 2019

Min. miner. depos.

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show abstract

“…Οι άλλες δύο μεταβλητές δεν παρουσιάζουν αξιοσημείωτη διαφοροποίηση από ομάδα σε ομάδα. Η στατιστική επεξεργασία των μετρήσεων ρύπανσης και η προσαρμογή τους σε μια θεωρητική κατανομή αποτέλεσε για μεγάλο χρονικό διάστημα δημοφιλή πρακτική για τον προσδιορισμό της πιθανότητας υπέρβασης διαφόρων θεσμοθετημένων ή μη ορίων ρύπανσης (Knox et al 1974, Pollack 1974, Bencala et al 1976, Kalpasanov et al 1976, Tsoukatane et al 1980, Holland et al 1982, Georgopoulos et al 1982, Mage et al 1984, Oliver 1985, Jakeman et al 1986, Marani et al 1986, Ocur 1988, ΠΕΡΠΑ 1989. Είναι δυνατόν να δώσει χρήσιμες πληροφορίες σε σχέση με τις τιμές των κεντρικών τμημάτων της κατανομής όπου η προσαρμογή είναι καλή ενώ πολύ συχνά αποτυγχάνει στην ορθή πρόβλεψη εμφάνισης τιμών που ανήκουν στις ακραίες περιοχές της συνολικής κατανομής.…”

Section: ταξινομική ανάλυση διαχωρισμός δύο ομάδωνunclassified