TY - JOUR

T1 - Sensitivity operator framework for analyzing heterogeneous air quality monitoring systems

AU - Penenko, Alexey

AU - Penenko, Vladimir

AU - Tsvetova, Elena

AU - Gochakov, Alexander

AU - Pyanova, Elza

AU - Konopleva, Viktoriia

N1 - Funding Information: Funding: The work was supported by the grant 075-15-2020-787 in the form of a subsidy for a major scientific project from the Ministry of Science and Higher Education of Russia (project “Fundamentals, methods and technologies for digital monitoring and forecasting of the environmental situation on the Baikal Natural Territory”). Publisher Copyright: © 2021 by the authors. Licensee MDPI, Basel, Switzerland.

PY - 2021/12

Y1 - 2021/12

N2 - Air quality monitoring systems differ in composition and accuracy of observations and their temporal and spatial coverage. A monitoring system’s performance can be assessed by evaluating the accuracy of the emission sources identified by its data. In the considered inverse modeling approach, a source identification problem is transformed to a quasi-linear operator equation with the sensitivity operator. The sensitivity operator is composed of the sensitivity functions evaluated on the adjoint ensemble members. The members correspond to the measurement data element aggregates. Such ensemble construction allows working in a unified way with heterogeneous measurement data in a single-operator equation. The quasi-linear structure of the resulting operator equation allows both solving and predicting solutions of the inverse problem. Numerical experiments for the Baikal region scenario were carried out to compare different types of inverse problem solution accuracy estimates. In the considered scenario, the projection to the orthogonal complement of the sensitivity operator’s kernel allowed predicting the source identification results with the best accuracy compared to the other estimate types. Our contribution is the development and testing of a sensitivity-operator-based set of tools for analyzing heterogeneous air quality monitoring systems. We propose them for assessing and optimizing observational systems and experiments.

AB - Air quality monitoring systems differ in composition and accuracy of observations and their temporal and spatial coverage. A monitoring system’s performance can be assessed by evaluating the accuracy of the emission sources identified by its data. In the considered inverse modeling approach, a source identification problem is transformed to a quasi-linear operator equation with the sensitivity operator. The sensitivity operator is composed of the sensitivity functions evaluated on the adjoint ensemble members. The members correspond to the measurement data element aggregates. Such ensemble construction allows working in a unified way with heterogeneous measurement data in a single-operator equation. The quasi-linear structure of the resulting operator equation allows both solving and predicting solutions of the inverse problem. Numerical experiments for the Baikal region scenario were carried out to compare different types of inverse problem solution accuracy estimates. In the considered scenario, the projection to the orthogonal complement of the sensitivity operator’s kernel allowed predicting the source identification results with the best accuracy compared to the other estimate types. Our contribution is the development and testing of a sensitivity-operator-based set of tools for analyzing heterogeneous air quality monitoring systems. We propose them for assessing and optimizing observational systems and experiments.

KW - Adjoint equations

KW - Air quality

KW - Emission source identification

KW - Inverse problem

KW - Lake Baikal region

KW - Monitoring systems

KW - Sensitivity operator

KW - Transport and transformation of impurities

UR - http://www.scopus.com/inward/record.url?scp=85122014897&partnerID=8YFLogxK

U2 - 10.3390/atmos12121697

DO - 10.3390/atmos12121697

M3 - Article

AN - SCOPUS:85122014897

VL - 12

JO - Atmosphere

JF - Atmosphere

SN - 2073-4433

IS - 12

M1 - 1697

ER -