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Nonparametric Bayesian Networks as a Tool of Multiscale Time Series Analysis and Remote Sensing Data Integration

https://doi.org/10.32603/1993-8985-2023-26-3-32-37

Abstract

Introduction. Nonparametric Bayesian networks are a promising tool for analyzing, visualizing, interpreting and predicting the structural and dynamic characteristics of complex systems. Modern interdisciplinary research involves the complex processing of heterogeneous data obtained using sensors of various physical nature. In the study of the forest fund, both methods of direct dendrological measurements and methods of remote observation using unmanned aerial vehicles are widely used. Information obtained using these methods must be analyzed in conjunction with hydrometeorological monitoring data.
Aim. Investigation of the possibility of automating the monitoring of the well-being of the forest fund based on the integration of ground survey data, remote multispectral measurements and hydrometeorological observations using the mathematical apparatus of nonparametric Bayesian networks.
Materials and methods. To assess the long-term joint dynamics of natural and climatic indicators and the radial growth of trees, a modified method of multiscale cross-correlation analysis was used with the removal of the background trend described by the moving average model. Relationships between various indicators were estimated based on the unconditional and conditional nonparametric Spearman correlation coefficients, which were used to reconstruct and parameterize the nonparametric Bayesian network.
Results. A multiscale nonparametric Bayesian network was constructed to characterize both unconditional and conditional statistical relationships between parameters obtained from remote sensing, hydroclimatic and dendrological measurements. The proposed model showed a good quality of the plant fund state forecasting. The correlation coefficients between the observed and predicted indicators exceed 0.6, with the correlation coefficient comprising 0.77 when predicting the growth trend of annual tree rings.
Conclusion. The proposed nonparametric Bayesian network model reflects the relationship between various factors that affect the forest ecosystem. The Bayesian network can be used to assess risks and improve environmental management planning.

About the Authors

Nikita S. Pyko
Saint Petersburg Electrotechnical University
Russian Federation

Nikita S. Pyko, Master in information and  communication technology (2019), Postgraduate  Student of the Department of Radio Engineering  Systems, Junior Researcher at the Scientific and  Educational Center "Digital Telecommunication  Technologies".

The author of 36 scientific publications. Area  of expertise: statistical data analysis, mathematical  modeling.

5 F, Professor Popov St., St Petersburg 197022



Denis V. Tishin
Saint Petersburg Electrotechnical University; Kazan Federal University
Russian Federation

Denis V. Tishin, Can. Sci. (Biolog.) (2006), Associate  Professor of the Department of General Ecology of the Institute of Environmental Sciences of Kazan Federal  University, Senior Researcher at the IMC FKTI of Saint  Petersburg Electrotechnical University.

Author of 62  scientific publications. Area of expertise:  dendrochronology, phenology, dendroclimatology,  paleoecology, carbon balance.

18/1, Kremlyovskaya St., Kazan 420008



Pavel Yu. Iskandirov
Saint Petersburg Electrotechnical University; Kazan Federal University
Russian Federation

Pavel Yu. Iskandirov, Ecologist (KFU, 2013), Postgraduate  Student of the Department of General  Ecology of the Institute of Environmental Sciences of  Kazan Federal University.

The author of 12 scientific  publications. Area of expertise: dendrochronology,  phenology.

18/1, Kremlyovskaya St., Kazan 420008



Artur M. Gafurov
Kazan Federal University
Russian Federation

Artur M. Gafurov, Senior Lecturer at the Department of  Landscape Ecology of the Institute of Environmental Sciences, Senior Researcher of the Research Center for  Superiority of Cyber-Physical Systems of the Institute of Physics.

The author of 50 scientific publications. Area of  expertise: geomorphology and evolutionary geography,  geoecology, aerospace research of the Earth,  photogrammetry.

18/1, Kremlyovskaya St., Kazan 420008



Bulat M. Usmanov
Kazan Federal University
Russian Federation

Bulat M. Usmanov, Senior Lecturer at the Department of  Landscape Ecology of the Institute of Environmental Sciences.

The author of 72  scientific publications. Area of  expertise: geomorphology and evolutionary geography,  geoecology, aerospace research of the Earth,  photogrammetry.

18/1, Kremlyovskaya St., Kazan 420008



Mikhail I. Bogachev
Saint Petersburg Electrotechnical University
Russian Federation

Mikhail I. Bogachev, Dr Sci. (Eng.) (2018), Associate  Professor (2011) at the Department of Radio  Engineering Systems, Chief Researcher of the Scientific  and Educational Center "Digital Telecommunication  Technologies".

The author of 200 scientific publications. Area of expertise: statistical data analysis, mathematical  modeling.

5 F, Professor Popov St., St Petersburg 197022



References

1. Terefenko P., Paprotny D., Giza A., MoralesNápoles O., Kubicki A., Walczakiewicz S. Monitoring Cliff Erosion with LiDAR Surveys and Bayesian Network-Based Data Analysis. Remote Sens. 2019, no. 11, p. 843. doi: 10.3390/rs11070843

2. Paprotny D., Morales-Nápoles O. Estimating Extreme River Discharges in Europe Through a Bayesian Network. Hydrology and Earth System Sciences. 2017, vol. 21, no. 6, pp. 2615–2636. doi: 10.5194/hess-21-2615-2017

3. Delgado-Hernández D.-J., Morales-Nápoles O., De-León-Escobedo D., Arteaga-Arcos J.-C. A Continuous Bayesian Network for Earth Dams’ Risk Assessment: An Application. Structure and Infrastructure Engineering. 2014, vol. 10, no. 2, pp. 225–238. doi: 10.1080/15732479.2012.731416

4. Morales Nápoles O., Steenbergen R. Analysis of Axle and Vehicle Load Properties through Bayesian Networks Based on Weigh-in-Motion Data. Reliability Engineering & System Safety. 2014, vol. 125, pp. 153–164. doi: 10.1016/j.ress.2014.01.018

5. Cooke R. M., Wielicki B. Probabilistic Reasoning about Measurements of Equilibrium Climate Sensitivity: Combining Disparate Lines of Evidence. Climatic Change. 2018, no. 151, pp. 541–154. doi: 10.1007/s10584-018-2315-y

6. Weber P., Medina-Oliva G., Simon C., Iung B. Overview on Bayesian Network Applications for Dependability, Risk Analysis and Maintenance Areas. Engineering Applications of Artificial Intelligence. 2012, vol. 25, no. 4, pp. 671–682. doi: 10.1016/j.engappai.2010.06.002

7. Hanea A., Morales Nápoles O., Ababei D. Nonparametric Bayesian Networks: Improving Theory and Reviewing Applications. Reliability Engineering & System Safety. 2015, vol. 144, pp. 265–284. doi: 10.1016/j.ress.2015.07.027

8. Morales O., Kurowicka D., Roelen A. Eliciting Conditional and Unconditional Rank Correlations from Conditional Probabilities. Reliability Engineering & System Safety. 2008, vol. 93, no. 5, pp. 699–710. doi: 10.1016/j.ress.2007.03.020

9. Baba K., Shibata R., Sibuya M. Partial Correlation and Conditional Correlation as Measures of Conditional Independence. Australian & New Zealand J. of Statistics. 2004, vol. 46, no. 4, pp. 657–664. doi: 10.1111/j.1467-842X.2004.00360.x

10. Baba K., Sibuya M. Equivalence of Partial and Conditional Correlation Coefficients. J. of the Japan Statistical Society. 2005, vol. 35, no. 1, pp. 1–19. doi: 10.14490/JJSS.35.1

11. Yuan N., Fu Z., Zhang H., Piao L., Luterbacher J. Detrended Partial-Cross-Correlation Analysis: A New Method for Analyzing Correlations in Complex System. Scientific Reports. 2015, vol. 5, no. 1, p. 8143. doi: 10.1038/srep08143

12. Qian X.-Yu., Liu Y.-M., Jiang Zh.-Q., Podobnik B., Zhou W.-X., Stanley H. E. Detrended Partial Cross-Correlation Analysis of Two Nonstationary Time Series Influenced by Common External Forces. Physical Review. 2015, vol. 91, p. 06281. doi: 10.1103/PhysRevE.91.062816

13. Zhou W. X. Multifractal Detrended CrossCorrelation Analysis for Two Nonstationary Signals. Physical Review E. 2008, vol. 77, p. 066211. doi: 10.1103/PhysRevE.77.066211

14. Horvatic D., Stanley H. E., Podobnik B. Detrended Cross-Correlation Analysis for NonStationary Time Series with Periodic Trends. Europhysics Let. 2011, vol. 94, no. 1, p. 18007. doi: 10.1209/0295-5075/94/18007

15. Alvarez-Ramirez J., Rodriguez E., Echeverría J. C. Detrending Fluctuation Analysis Based on Moving Average Filtering. Physica A: Statistical Mechanics and Its Applications. 2005, vol. 354, pp. 199–219. doi: 10.1016/j.physa.2005.02.020

16. Rinn F. TSAP-Win Time Series Analysis and Presentation for Dendrochronology and Related Applications. User Reference Version 0.53. Heidelberg, Rinntech, 2005, pp. 1–88.

17. Candiago S., RemondinoF., De Giglio M., Dubbini M., Gettelli M. Article Evaluating Multispectral Images and Vegetation Indices for Precision Farming Applications from UAV Images. Remote Sens. 2015, vol. 7, no. 4, pp. 4026–4047. doi: 10.3390/rs70404026

18. Pyataev A. S., Vais A. A. Pine Crown and Trunk Diameter Dependence Research. CEUR Workshop Proc. 2019, pp. 160–165.


Review

For citations:


Pyko N.S., Tishin D.V., Iskandirov P.Yu., Gafurov A.M., Usmanov B.M., Bogachev M.I. Nonparametric Bayesian Networks as a Tool of Multiscale Time Series Analysis and Remote Sensing Data Integration. Journal of the Russian Universities. Radioelectronics. 2023;26(3):32-47. (In Russ.) https://doi.org/10.32603/1993-8985-2023-26-3-32-37

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ISSN 1993-8985 (Print)
ISSN 2658-4794 (Online)