Mapping the structure of spatial point patterns on a regional scale

Geographic Information Systems

UDC:

528.9+519.2

DOI:

10.22389/0016-7126-2022-989-11-50-63

1 Ukrainsky P.A.

2 Buryak Z.A.

3 Terekhin E.A.

Year:

2022

№:

989

Pages:

50-63

Belgorod State University

1,

2,

3,

Abstract:

To identify geographical regularities in changing the structure of spatial point patterns, we proposed the use of cartographic visualization. Approaches to gathering initial data, mechanisms for calculating the characteristics of the spatial structure and ways of displaying them on the map are described. The process of mapping combines elements of geoinformatics, spatial statistics and cartography. The elements of the methodology were integrated using the R programming language and the spatstat package. A script was written in the R that enables automating the calculation of the spatial structure’s quantitative characteristics. Thirteen indicators were identified that can be used for cartographic visualization of the spatial point images structure features. The described approach was tested on the example of sparse woody vegetation areas found in the ravine-gully network of the Central Chernozem region.

Keywords:

рackage spatstat, рoint pattern analysis, R language, spatial statistics, structure, woody vegetation

The study was supported by the Russian Science Foundation, grant No. 22-27-00291.

References:

1. Avanesova A. A. Dinamika rastitel'nosti Streletskoi stepi (Tsentral'no-Chernozemnyi zapovednik) pri raznykh rezhimakh okhrany. Botanicheskii zhurnal, 2004, Vol. 89, no. 5, pp. 796–811.

2. Agafonov V. A., Kiseleva E. S., Gannibal B. K., Shilova I. N., Chernyshova T. N. K flore prirodno-kul'turnogo kompleksa «Divnogor'e» (Voronezhskaya oblast'). Vestnik Voronezhskogo gos. un-ta. Ser. Khimiya. Biologiya. Farmatsiya, 2016, no. 3, pp. 48–52.

3. Berezhnoi A. V., Berezhnaya T. V. Lesostep', raznoobrazie ee tipov i perspektivy ikh okhrany. Flora i rastitel'nost' Tsentral'nogo Chernozem'ya – 2013: Materialy mezhreg. nauch. konf. – Kursk, 2013, pp. 96–100.

4. Gannibal B. K., Nedviga V. V. Fitotsenoticheskie parametry stepnykh redkolesii (na primere Yamskoi stepi). Sb. Aktual'nye problemy geobotaniki, Petrozavodsk: Karel'skii nauchnyi tsentr RAN, 2007, pp. 133–137.

5. Kudryavtsev A. Yu. Klassifikatsiya drevesno-kustarnikovoi rastitel'nosti lesostepnogo kompleksa Privolzhskoi vozvyshennosti. Rastitel'nost' Rossii, 2009, no. 15, pp. 27–43.

6. Mil'kov F. N. O estestvennykh landshaftakh yuga Russkoi ravniny. Izvestiya RAN. Ser. geograficheskaya, 1995, no. 5, pp. 5–18.

7. Poluyanov A. V. Opushechno-stepnye soobshchestva uchastkov Yamskaya step' i Lysye gory zapovednika «Belogor'e». Izvestiya Samarskogo nauch. tsentra Rossiiskoi akademii nauk, 2012, Vol. 14, no. 1-4, pp. 1096–1099.

8. Savel'ev A. A., Mukharamova S. S., Chizhikova N. A., Pilyugin A. G. Teoriya prostranstvennykh tochechnykh protsessov v zadachakh ekologii i prirodopol'zovaniya (s primeneniem paketa R): Ucheb. posobie. Kazan': Izd-vo Kazan. un-ta, 2014, 146 p.

9. Sekretenko O. P., Grabarnik P. Ya. Analiz gorizontal'noi struktury drevostoev metodami sluchainykh tochechnykh polei. Sibirskii lesnoi zhurnal, 2015, no. 3, pp. 32–44. DOI: 10.15372/SJFS20150304.

10. Fardeeva M. B., Islamova G. R., Chizhikova N. A. Analiz prostranstvenno-vozrastnoi struktury rastenii na osnove informatsionno-statisticheskikh podkhodov. Uchenye zapiski Kazan. un-ta. Ser. Estestvennye nauki, 2008, Vol. 150, no. 4, pp. 226–240.

11. Kharitonov S. P. Metod «blizhaishego soseda» dlya matematicheskoi otsenki raspredeleniya biologicheskikh ob"ektov na ploskosti i na linii. Vestnik Nizhegorod. un-ta im. N. I. Lobachevskogo. Ser. Biologiya, 2005, no. 1, pp. 213–221.

12. Kharchenko N. A., Kharchenko N. N. K voprosu o proiskhozhdenii dubrav v Tsentral'noi lesostepi. Lesotekhnicheskii zhurnal, 2013, no. 3 (11), pp. 43–50.

13. Alazawi M. A., Jiang S., Messner S. F. (2022) Identifying a spatial scale for the analysis of residential burglary: An empirical framework based on point pattern analysis. PloS ONE, no. 17 (2), e0264718 p. DOI: 10.1371/journal.pone.0264718.

14. Allard D., Fraley C. (1997) Nonparametric maximum likelihood estimation of features in spatial point processes using Voronoi tessellation. Journal of the American Statistical Association. no. 92 (440), pp. 1485–1493. DOI: 10.1080/01621459.1997.10473670.

15. Baddeley A., Rubak E., Turner R. (2015) Spatial Point Patterns: мethodology and аpplications with R. Chapman and Hall/CRC Press, London, 828 p.

16. Ben-Said M. (2021) Spatial point-pattern analysis as a powerful tool in identifying pattern-process relationships in plant ecology: an updated review. Ecological Processes, no. 10, pp. 56. DOI: 10.1186/s13717-021-00314-4.

17. Byers S., Raftery A. E. (1998) Nearest-neighbour clutter removal for estimating features in spatial point processes. Journal of the American Statistical Association, no. 93, pp. 577–584. DOI: 10.1080/01621459.1998.10473711.

18. Knitter D., Nakoinz O. (2018) Point pattern analysis as tool for digital geoarchaeology: a case study of megalithic graves in Schleswig-Holstein, Germany. Digital Geoarchaeology, pp. 45–64. DOI: 10.1007/978-3-319-25316-9_4.

19. Muvengwi J., Ndagurwa H. G., Nyenda T., Mwembe R., Mbiba M. (2017) Spatial pattern analysis of encroaching tree species (Vachellia karroo and Vachellia nilotica) after fire suppression in a semi-arid savanna. Journal of Tropical Ecology, no. 33 (6), pp. 411–414. DOI: 10.1017/S0266467417000384.

20. Perry G. L. W., Miller B. P., Enright N. J. (2006) A comparison of methods for the statistical analysis of spatial point patterns in plant ecology. Plant ecology, no. 187 (1), pp. 59–82. DOI: 10.1007/s11258-006-9133-4.

21. Ukrainskiy P., Terekhin E., Lisetskii F., Zelenskaya E., Gusarov A. (2020) The influence of relief on the density of light-forest trees within the small-dry-valley network of uplands in the forest-steppe zone of Eastern Europe. Geosciences, no. 10 (11), pp. 1–18. DOI: 10.3390/geosciences10110420.

22. Velázquez E., Martínez I., Getzin S., Moloney K. A., Wiegand T. (2016) An evaluation of the state of spatial point pattern analysis in ecology. Ecography, no. 39 (11), pp. 1042–1055. DOI: 10.1111/ecog.01579.

23. Wiegand T., He F., Hubbell S. P. (2013) A systematic comparison of summary characteristics for quantifying point patterns in ecology. Ecography, no. 36 (1), pp. 92–103. DOI: 10.1111/j.1600-0587.2012.07361.x.

24. Yazici M. (2017) Spatial point pattern analyses and its use in geographical epidemiology. Biostatistics and biometrics open access journal, no. 1 (5), pp. 99–103. DOI: 10.19080/BBOAJ.2017.01.555573.

Citation:

Ukrainsky P.A.,

Buryak Z.A.,

Terekhin E.A.,

(2022) Mapping the structure of spatial point patterns on a regional scale. Geodesy and cartography = Geodezia i Kartografia, 83(11), pp. 50-63. (In Russian). DOI: 10.22389/0016-7126-2022-989-11-50-63