Skip to main content
Log in

Theoretical and Methodological Substantiation of Boundaries and Integrity in Landscape Cover and Its Components

  • RESILIENCE OF BIOLOGICAL SYSTEMS: THE COMMUNITY
  • Published:
Biology Bulletin Aims and scope Submit manuscript

Abstract

Four main models of the appearance of boundaries (in a particular case, integrity), arising from the theory of nonlinear dynamic systems, are considered briefly. On the basis of Kotelnikov’s fundamental sampling theorem and, accordingly, general information theory, the character of a distinguished boundary as a function of the sampling frequency in a spatial series with a regular step is investigated and the measurement unit “berg” (one full oscillation per one kilometer) is introduced, which is essentially identical to the unit “hertz” for a time series. The main provisions are illustrated using the analysis of the properties of real biogeocenoses and multispectral measurements of solar radiation reflection by the SPOT 6 satellite.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.
Fig. 9.
Fig. 10.
Fig. 11.

REFERENCES

  1. Armand, D.L., Nauka o landshafte. Osnovy teorii i logiko-matematicheskie metody (Landscape Science. Fundamentals of Theory and Logic-Mathematical Methods), Moscow: Mysl’, 1975.

  2. Armand, A.D., Samoorganizatsiya i samoregulirovanie geograficheskikh sistem (Self-Organization and Self-Regulation of Geographical Systems), Moscow: Nauka, 1988.

  3. Beisner, B.E., Haydon, D., and Cuddington, K.L., Hysteresis. Ecological models, in Encyclopedia of Ecology, Jorgensen, S.E. and Brian, D., Eds., Oxford: Elsevier, 2008, vol. 3, pp. 1930–1935.

    Google Scholar 

  4. Clements, F.E., Research Methods in Ecology, Lincoln: Univ. Publ. Comp., 1905.

    Book  Google Scholar 

  5. Clements, F.E., Nature and structure of the climax, J. Ecol., 1936, vol. 24, no. 1, pp. 252–284.

    Article  Google Scholar 

  6. Gallaway, T., Life on the edge: a look at ports of trade and other ecotones, J. Econ. Iss., 2005, vol. 39, no. 3, pp. 707–726.

    Article  Google Scholar 

  7. Gleason, H.A., The structure and development of the plant association, Bull. Torrey Bot. Club, 1917, vol. 44, no. 10, pp. 463–481.

    Article  Google Scholar 

  8. Gleason, H.A., The individualistic concept of the plant association, Am. Midland Nat., 1939, no. 1, pp. 92–110.

  9. Hartshorne, R., The Nature of Geography, Lancaster, Penn.: Association of American Geographers, 1939.

    Google Scholar 

  10. Kolosov, V.A., Zotova, M.V., and Sebentsev, A.B., Structural features of the economy and gradients of socio-economic development of the border regions of Belarus, Russia, and Ukraine, Izv. Ross. Akad. Nauk, Ser. Geogr., 2014, no. 5, pp. 32–46.

  11. Kotel’nikov, V.A., On the throughput of “ether” and wire in telecommunications, in Vsesoyuznyi energeticheskii komitet. Materialy k I Vsesoyuznomu s’’ezdu po voprosam tekhnicheskoi rekonstruktsii dela svyazi i razvitiya slabotochnoi promyshlennosti. Po radiosektsii (All-Union Energy Committee. Materials for the First All-Union Congress on the Technical Reconstruction of Communications and the Development of the Low-Voltage Industry. Radio Section), Moscow: Upr. Svyazi RKKA, 1933, pp. 1–19.

  12. Kuznetsov, Y.A., Elements of Applied Bifurcation Theory, Ser. Appl. Math. Sci., New York: Springer-Verlag, 1998, vol. 112, 2nd. ed.

  13. Milyukova, I.M., Kolle, O., Varlagin, A.V., Vygodskaya, N.N., Schulze, E.-D., and Lloyd, J., Carbon balance of a southern taiga spruce stand in European Russia, Tellus B, 2002, vol. 54, no. 5, pp. 429–442.

    Article  Google Scholar 

  14. Morozov, G.F., Les kak rastitel’noe soobshchestvo (Forest as a Plant Community), St. Petersburg: Izd. A.S. Panafidinoi, Tip. MVD, 1913.

  15. Morozov, G.F., Uchenie o lese (Forest Teaching), Matreninskii, V.V., Ed., Moscow: Gosizdat, 1928, 4th ed.

    Google Scholar 

  16. Pukinskaya, M.Yu., Main changes in the dynamics of the spruce forests of the Central Forest Reserve over the past 20 years, in Letopis’ prirody: fenologiya, otkliki bioty na izmenenie klimata. Materialy II Mezhdunarodnoi nauchnoi konferentsii v Tsentral’no-Lesnom gosudarstvennom prirodnom biosfernom zapovednike 10–14 avgusta 2020 g. (Proc. II Int. Sci. Conf. in the Central Forest State Natural Biosphere Reserve “Annals of Nature: Phenology and Biota Responses to Climate Change,” August 10–14, 2020), Moscow: KMK, 2020.

  17. Puzachenko, M.Yu., Landscape confinement of windblows in the Central Forest Reserve, Tr. Tsentr.-Lesn. Zapov., Tula: Grif and K., 2007, no. 4, pp. 304–324.

  18. Puzachenko, J.G., Chapter 1 Material and Methods of Research, in The Ecosystems of Small Islands in the Southwest Pacific (The Sixth Expedition of the SS “Callisto”, 1976–1977), Pernetta, C. and Manner, H.I., Eds., UNEP Regional Seas Reports and Studies no. 151 SPREP Reports and Studies no. 63, UNEP, 1994, pp. 1–9.

  19. Puzachenko, Yu.G., Statisticheskie metody issledovaniya geosistem (Statistical Methods for Studying Geosystems), Tikhookean. Inst. Geogr., Akad. Nauk SSSR, Dal’nevost. Tsentr, Vladivostok, 1976.

  20. Puzachenko, Yu.G., Spatiotemporal hierarchy of geosystems from the standpoint of the theory of oscillations, in Modelirovanie geosistem (Modeling of Geosystems), Vopr. Geogr., Moscow: Nauka, 1983, no. 127, pp. 96–111.

  21. Puzachenko, Yu.G., Osnovy obshchei ekologii (Fundamentals of General Ecology), Moscow: Mosk. Gos. Univ, 1996.

  22. Puzachenko, Yu.G., Matematicheskie metody v geograficheskikh i ekologicheskikh issledovaniyakh (Mathematical Methods in Geographical and Ecological Research), Moscow: Akademiya, 2004.

  23. Puzachenko, Yu.G., Biogeocenosis as a complex dynamic system, in Biogeotsenologiya v XXI: Idei i tekhnologii. Chteniya pamyati akademika V.N. Sukacheva XXIV (Biogeocenology in the XXI: Ideas and Technologies. Lectures in of Academician V.N. Sukachev. XXIV), Moscow: KMK, 2017, pp. 12–114.

  24. Puzachenko, Yu.G., Kotlov, I.P., and Sandlerskii, R.B., Analysis of changes in landscape cover according to multispectral remote information in the Central Forest Reserve, Izv. Akad. Nauk, Ser. Geogr., 2014, no. 3, pp. 5–18.

  25. Ramenskii, L.G., On the comparative method of ecological study of plant communities, in Dnevnik XII s’’ezda estestvoispytatelei i vrachei (Diary of XII Congress of Naturalists and Doctors), St. Petersburg, 1910, vol. 4, pp. 389–390.

    Google Scholar 

  26. Ramenskii, L.G., The main patterns of the vegetation cover and their study (based on geobotanical research in the Voronezh province), Vestn. Opyt. Dela Sr.-Chernoz. Obl., Voronezh: Obl. Red.-Izd. K-t N.K.Z, 1924, pp. 37–73.

  27. Ranke, P.S., Araya-Ajoy, Y.G., Ringsby, T.H., Pärn, H., Ronning, B., Jensen, H., Wright, J., and Sæther, B.-E., Spatial structure and dispersal dynamics in a house sparrow metapopulation, J. Anim. Ecol., 2021, vol. 90, no. 12, pp. 2767–2781.

    Article  PubMed  Google Scholar 

  28. Riznichenko, G.Yu., Matematicheskie modeli v biofizike i ekologii (Mathematical Models in Biophysics and Ecology), Moscow: Inst. Komp’yut. Issled., 2003.

  29. Scheffer, M., Carpenter, S., Foley, J.A., Folke, C., and Walkerk, B., Catastrophic shifts in ecosystems, Nature, 2001, vol. 413, pp. 591–596.

    Article  CAS  PubMed  Google Scholar 

  30. Shannon, C., Communication in the presence of noise, PIRE, 1949, vol. 37, no. 1, pp. 10–21.

    Google Scholar 

  31. Shannon, C., Raboty po teorii informatsii i kibernetike (Works on Information Theory and Cybernetics), Moscow: Inostr. Lit., 1963.

  32. Shuiskaya, E.A., Climatic changes in the Central Forest Biosphere Reserve (Tver oblast), in Klimaticheskie izmeneniya i sezonnaya dinamika landshaftov. Mat. Vseros. nauchno-prakticheskoi konf. 22–24 aprelya 2021 g. (Climatic Changes and Seasonal Dynamics of Landscapes: Proc. Vseross. Sci.-Pract. Conf., April 22–24, 2021), Yekaterinburg, 2021, pp. 185–192.

  33. Tian, C., Turing pattern formation in a semiarid vegetation model with fractional-in-space diffusion, Bull. Math. Biol., 2015, vol. 77, no. 11, pp. 2072–2085.

    Article  PubMed  Google Scholar 

  34. Turing, M., The chemical basis of morphogenesis, Philos. Trans. R. Soc., B, 1952, vol. 237, no. 641, pp. 37–72.

  35. Visintin, A., Mathematical models of hysteresis, in The Science of Hysteresis, Bertotti, G. and Mayergoyz, I.D., Amsterdam: Elsevier, 2006, pp. 3–114.

  36. Whittaker, R.H., Vegetation of the great smoky mountains, Ecol. Monogr., 1956, vol. 26, no. 1, pp. 1–80.

    Article  Google Scholar 

  37. Whittaker, R.H., Vegetation of the Siskiyou Mountains, Oregon and California, Ecol. Monogr., 1960, vol. 30, no. 3, pp. 279–338.

    Article  Google Scholar 

Download references

Funding

This article was prepared within the framework of the Basic Research Program of the National Research University Higher School of Economics (NRU HSE). The field material was collected with the financial support of the Russian Science Foundation (project nos. 18-17-00129 and 22-27-00781).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to R. B. Sandlersky.

Ethics declarations

The authors declare that they have no conflicts of interest. This article does not contain any studies involving animals or human participants performed by any of the authors.

Additional information

Translated by M. Batrukova

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Krenke, A.N., Sandlersky, R.B., Baybar, A.S. et al. Theoretical and Methodological Substantiation of Boundaries and Integrity in Landscape Cover and Its Components. Biol Bull Russ Acad Sci 50 (Suppl 1), S85–S99 (2023). https://doi.org/10.1134/S1062359023601234

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1062359023601234

Keywords:

Navigation