Methods of Analytic Hierarchy Process in Landscape Research

Using the case of factoral-dynamic analysis of mountain-taiga geosystems (landscapes) of the Maly HamarDaban ridge section (Western Transbaikalia), the Analytic Hierarchy Process (AHP) method is implemented. These logical and mathematical tools of a system-hierarchical approach to complex decision-making problems consist in determining the priorities of alternatives (landscape-forming factors) to achieve the goal (zonal norm), their pairwise comparison and choosing the best alternative with the maximum priority value relatively to the main goal. The combination of the AHP algorithm with factoral-dynamic analysis of the hierarchy of geosystems–geomes (facies, groups, and classes of facies)–is shown on the case of assessing the effect of factor influence on the landscape by the criterion of territorial manifestation of facies of different factor series (subhydrolithomorphic, sublithomorphic, xerolithomorphic, and subhydromorphic). Based on the calculation of an indicator, that considers the priorities of all the compared particular criteria of different levels of hierarchy and the criterion of seriality of geosystems, a measure of deviation of the state of individual facies from the zonal norm was determined and a map of landscape variability of the studied territory was made in generalized indicators showing the influence of factors of different hierarchical levels.

1. Chandio I.A., Matori A.N.B., WanYusof K.B., Talpur M.A.H., Balogun A.L., Lawal D. U. GIS-based analytic hierarchy process as a multicriteria decision analysis instrument: a review. Arabian J. Geosciences, 2013, no. 6, pp.3059–3066.

2. Cherkashin A.K. Invariance of the spatial structure of the landscape. In Landshaftovedenie: teoriya, metody, regional’nye issledovaniya, praktika [Landscape Science: Theory, Methods, Regional Studies, Practice]. Moscow: Fac. Geogr. Mos. State Univ., 2006, pp. 60–64. (In Russ.).

3. Cherkashin A.K. Metatheoretical system modeling of natural and social processes and phenomena in a heterogeneous environment. In Informatsionnye i matematicheskie tekhnologii v nauke i upravlenii [Information and Mathematical Technologies in Science and Management], 2019, no. 1 (13), pp. 61–84. (In Russ.).

4. Cherkashin A.K. Mathematical aspects of the implementation of the hierarchy analysis method. In Informatsionnye i matematicheskie tekhnologii v nauke i upravlenii [Information and Mathematical Technologies in Science and Management]. 2020, no. 1 (17), pp. 5–24. (In Russ.).

5. Dalgaard P. Introductory Statistics with R. New York, Berlin, Heidelberg: Springer-Verlag Publ., 2002. 363 p.

6. Dyer J.S. Remarks on the analytic hierarchy process. Management Sci., 1990, vol. 36, no. 3, pp. 249–258.

7. Frolov A.A. GIS mapping analysis changeableness geosystems of the south-western Transbaikalia. Geodeziya i Kartografiya, 2020, vol. 81, no. 2, pp. 7–17. (In Russ.).

8. Gosudarstvennaya geologicheskaya karta Rossiiskoi Federatsii. Masshtab 1 : 1000000 (tret’e pokolenie). Ser. AldanoZabaikal’skaya [State Geological Map of the Russian Federation. Scale 1 : 1000000 (third generation). Series Aldano-Transbaikal]. List M_48 – Ulan-Ude. Ob’’yasnitel’naya zapiska [Explanatory Letter], Zotov E.A., Ed. St. Peterburg: Kartograficheskaya Fabrika VSEGEI Publ., 2009. 272 p.

9. Horoshev A.V. Geographic landscape planning concept. Izv. Ross. Akad. Nauk, Ser. Geogr., 2012, no. 4, pp. 103– 112. (In Russ.).

10. Horoshev A.V. Polimasshtabnaya organizatsiya geograficheskogo landshafta [Poly-scale Organization of the Geographic Landscape]. Moscow: KMK Scientific Partnership, 2016. 416 p.

11. Huang I.B., Keisler J., Linkov I. Multi-criteria decision analysis in environmental sciences: Ten years of applications and trends. Sci. Total Environ., 2011, vol. 409, pp. 3578–3594.

12. Ishizaka A., Nemery P. Multi-Criteria Decision Analysis. Methods and Software. John Wiley & Sons, Ltd., 2013.

13. Kamke E. Spravochnik po differentsial’nym uravneniyam v chastnykh proizvodnykh pervogo poryadka [First Order Partial Differential Equations Handbook]. Moscow: Nauka Publ., 1966. 256 p.

14. Kangas A., Kurttila M., Hujala T., Eyvindson K., Kangas J. Decision Support for Forest Management. Springer International Publ., 2015. 307 p.

15. Konovalova T.I., Bessolicyna E.P., Vladimirov I.N. et al. Landshaftno-interpretatsionnoe kartografirovanie [Landscape Interpretation Mapping], Cherkashin A.K., Ed. Novosibirsk: Nauka Publ., 2005. 424 p.

16. Krasnoshchekov Yu.N. Pochvozashchitnaya rol' gornykh lesov basseina ozera Baikal [Soil-Protective Role of Mountain Forests in the Lake Baikal Basin]. Novosibirsk: SB RAS 2004. 223 p.

17. Krauklis A.A. Problemy eksperimental’nogo landshaftovedeniya [Experimental Landscape Science Problems]. Novosibirsk: Nauka Publ., 1979. 232 p.

18. Krauklis A.A. Structural-dynamic functional analysis of the southern taiga landscape of the Lower Angara region. In Yuzhnaya taiga Priangar’ya [Southern Taiga of the Angara Region]. Leningrad: Nauka Publ., 1969, pp.32–119. (In Russ.).

19. Krut’ko V.N., Pegov S.A., Khomyakov D.M., Khomyakov P.M. Formalizatsiya otsenki kachestva komponentov okruzhayushchei sredy [Formalization of Environmental Component Quality Assessment]. Moscow: Inst. Syst. Res. Publ., 1982. 36 p.

20. Landshafty yuga Vostochnoi Sibiri. Karta masshtaba 1:1500000 [Landscapes of the South of Eastern Siberia. 1 : 1500000 scale map], Kosmakova O.P., Mikheev V.S., Eds. Moscow: GUGK Publ., 1977.

21. Linkov I., Moberg E. Multi-Criteria Decision Analysis: Environmental Applications and Case Studies. CRC Press, 2017. 112 p.

22. Lu Li, Zhi-Hua Shi, Wei Yin, Dun Zhu, Sai Leung Ng, Chong-Fa Cai, A-Lin Lei. A fuzzy analytic hierarchy process (FAHP) approach to eco-environmental vulnerability assessment for the Danjiangkou reservoir area, China. Ecological Modelling, 2009, no. 220, pp.3439–3447.

23. Planetarnye peredachi. Spravochnik [Planetary Gears. Directory], Kudrjavcev V.N., Kirdjashev Yu.N., Eds. Leningrad: Mashinostroenie Publ., 1977. 536 p.

24. Preobrazhenskij V.S. Osnovy landshaftnogo analiza [Basics of Landscape Analysis]. Moscow: Nauka Publ., 1988. 191 p.

25. Puzachenko Ju.G. Matematicheskie metody v ekologicheskikh i geograficheskikh issledovaniyakh [Mathematical Methods in Environmental and Geographic Research]. Moscow: Academia Publ., 2004. 408 p.

26. Saati T. Prinyatie reshenii. Metod analiza ierarkhii [Making Decisions. Hierarchy Analysis Method]. Moscow: Radio i Svjaz’ Publ., 1993. 278 p.

27. Şener E., Şener S. Evaluation of groundwater vulnerability to pollution using fuzzy analytic hierarchy process method. Environ. Earth Sci, 2015, no. 73, pp. 8405– 8424.

28. Soshnikova L.A., Tamashevich V.N., Uebe G., Shefe M. Mnogomernyi statisticheskii analiz v ekonomike [Multidimensional Statistical Analysis in Economics]. Moscow: YuNITI-DANA Publ., 1999. 598 p.

29. The Analytic Hierarchy Process in Natural Resource and Environmental Decision Making. Managing Forest Ecosystems. Vol. 3. Schmoldt D., Kangas J., MendozaG.A., Pesonen M., Eds. Springer, 2001. 307p.

30. Wheeler D., Shaw G., Barr S. Statistical techniques in geographical analysis. London: David Fulton, 2004. 342 p.