Functorial Models of Spatio-Temporal Landscape Field of the Earth: Methods of Comparative-Geographical Studies Based on Data of Remote Sensing

E. A. Istomina

Mathematical Modelling of Natural Phenomena (2009)

  • Volume: 4, Issue: 5, page 21-36
  • ISSN: 0973-5348

Abstract

top
This paper suggests models of the landscape complexes based on the theory of complex systems and category-functorial approach. With the use of the space Landsat images the existence of the Earth's landscape field is proved and criteria of its parameter characterization is suggested. The unity of spatiotemporal changes of the landscape units is substantiated.

How to cite

top

Istomina, E. A.. "Functorial Models of Spatio-Temporal Landscape Field of the Earth: Methods of Comparative-Geographical Studies Based on Data of Remote Sensing." Mathematical Modelling of Natural Phenomena 4.5 (2009): 21-36. <http://eudml.org/doc/222255>.

@article{Istomina2009,
abstract = { This paper suggests models of the landscape complexes based on the theory of complex systems and category-functorial approach. With the use of the space Landsat images the existence of the Earth's landscape field is proved and criteria of its parameter characterization is suggested. The unity of spatiotemporal changes of the landscape units is substantiated. },
author = {Istomina, E. A.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {geographical complex; comparative geography; landscape field; theory of categories and functors; landscape mapping; spatial and temporal connections},
language = {eng},
month = {10},
number = {5},
pages = {21-36},
publisher = {EDP Sciences},
title = {Functorial Models of Spatio-Temporal Landscape Field of the Earth: Methods of Comparative-Geographical Studies Based on Data of Remote Sensing},
url = {http://eudml.org/doc/222255},
volume = {4},
year = {2009},
}

TY - JOUR
AU - Istomina, E. A.
TI - Functorial Models of Spatio-Temporal Landscape Field of the Earth: Methods of Comparative-Geographical Studies Based on Data of Remote Sensing
JO - Mathematical Modelling of Natural Phenomena
DA - 2009/10//
PB - EDP Sciences
VL - 4
IS - 5
SP - 21
EP - 36
AB - This paper suggests models of the landscape complexes based on the theory of complex systems and category-functorial approach. With the use of the space Landsat images the existence of the Earth's landscape field is proved and criteria of its parameter characterization is suggested. The unity of spatiotemporal changes of the landscape units is substantiated.
LA - eng
KW - geographical complex; comparative geography; landscape field; theory of categories and functors; landscape mapping; spatial and temporal connections
UR - http://eudml.org/doc/222255
ER -

References

top
  1. A.D. Armand. Self-organization and self-regulation of geographical systems. Nauka, Moskow, 1988.  
  2. D.L. Armand Field theory and problems of identification of geosystems. Problems of Geography, 1975, 92–106.  
  3. D.L. Armand Geographical environment and rational use of natural resources. Nauka, Moskow, 1983.  
  4. I.C. Baianu Natural transformation models in molecular biology. Illinois, USA, 2004.  
  5. A.M. Berlyant Maps of phenomenon relationships and their application in geographical studies. Bulletin of Moscow University, Series V, Geography, No. 1, 1972, 21–30.  
  6. I. Bukur , A. Delyanu. Introduction to theory of categories and functors. Mir, Moskow, 1972.  
  7. A.K. Cherkashin. Mathematical analysis of dynamics of taiga facies. Structure and Dynamics of Geosystems. Nauka, Novosibirsk, 1979, 121–132.  
  8. A.K. Cherkashin. Polysystem modelling. Nauka, Novosibirsk, 2005. 280 p.  Zbl1173.86300
  9. A.K. Cherkashin, E.A. Istomina Peculiarities of modelling of the Earth's landscape field. Landscape Analysis for Sustainable Development. Theory and Applications of Landscape Science in Russia. Eds. K.N. Dyakonov, N.S. Kasimov, A.V. Khoroshev, A.V. Kushlin. Alex Publisher, Moscow, 2007, 80–93.  
  10. V.A. Chervyakov. Field conception in contemporary cartography. Novosibirsk, 1978.  
  11. V.A. Chervyakov. Peculiarities of using field maps in geography. Field maps of dynamics and interrelations of phenomena. Irkutsk, 1980, 7–15.  
  12. L.E. Elsgolts. Introduction to theory of differential equations with a perturbation argument. Nauka, Moskow, 1964.  
  13. Geoinformation modelling and mapping of landscape complexes of Pribaikalye. Abstract of Ph.D. thesis by E.A.Istomina. Izd-vo Institute of Geography SB RAS, Irkutsk, 2006.  
  14. A.A. Grigoryev. Regularities of structure and development of geographical environment, Moskow, 1966.  
  15. A.G. Isachenko. Landscape science yesterday and today. Izvestiya RGO, 2006, No 5, 1–20.  
  16. A.G. Isachenko. Theory and methodology of geographical science. Academy, Moskow, 2004.  
  17. E.A. Istomina, A.K. Cherkashin. Mathematical models of geographical complex and their application in analysis of space information Izvestiya RAN, Ser. Geogr, 2005, No. 2, – 103-113.  
  18. S.V. Kalesnik. General geographical regularities of the Earth. Moskow, 1970.  
  19. T.V. Keiko, A.K. Cherkashin. Theory of presentation of geoimages for geoindication. Geoinformation Science – 2000: Proceedings of International Scientific Conference, Izd-vo TSU, Tomsk, 2000, 26-29.  
  20. A.V. Khoroshev, G.M. Aleshchenko. Characteristic space of intercomponent relationships in landscape. Bulletin of Moscow University, Series 5, Geography, 2008, No. 1.  
  21. G.D. Kostinsky. Geographical matrix of space. Izvestiya RAN, Ser. Geogr., 1997, No. 5, – P. 16-34.  
  22. A.A. Krauklis. Problems in experimental landscape studies. Nauka, Novosibirsk, 1979.  
  23. Landscape-interpretation mapping. Nauka, Novosibirsk, 2005.  
  24. Landscapes of South-Eastern Siberia. Map scale 1:1 500 000. V.S Mikheev, V.A. Ryashin V.A. GUGK, Moskow, 1977.  
  25. A.P. Levich. Theory of sets, language of theory of categories and their application in theoretical biology. Izd-vo Moscow Univ., Moskow, 1982.  Zbl0545.92001
  26. Levich A.P., Nosov V.N., Smirnov N.A. Theoretical-category model of structure of ecological community taking into account external factors // Man and Biosphere. M.: Izd-vo Moscow Univ., 1983, Issue 8. – P. 134-139.  
  27. A.P. Levich, A.V. Solovyev. Category-functorial modelling of natural systems. Analysis of system on the XXI century threshold. Intellect, Moskow, 1997, 66-78.  URIhttp://www.chronos.msu.ru/RREPORTS/levich_kategorno/levich_kategorno.htm
  28. Maps of density fields in geographical studies. Irkutsk, 1978.  
  29. Maps of dynamics fields and relationships of phenomena. Irkutsk, 1980.  
  30. Yu.P. Mikhailov. Density field maps in geographical resource management. Density field maps in geographical studies. Irkutsk, 1978, 16–32.  
  31. E. Neef. Theoretical fundamentals of landscape science. Progress, Moskow, 1974.  
  32. V.A. Nikolaev. Landscape space-time (methodological aspects). Bulletin of Moscow Univ, Ser. 5, Geogr., 1989, No. 2.  
  33. B. Pareigis. Categories and functors. Acad. Press, N.Y., 1970.  Zbl0211.32402
  34. V.S. Preobrazhensky. Landscape studies. Nauka, Moskow, 1966.  
  35. V.S. Preobrazhensky, T.D. Alexandrova, L.V. Maximova. Geography in the changing world. XX century. IG RAN, Moskow, 1997.  
  36. Remote studies and mapping of structure and dynamics of geosystems. Izd-vo Institute of Geography SB RAS, Irkutsk, 2002.  
  37. R. Rosen. Foundation of mathematical biology. Leipzig, 1972.  
  38. Yu.A. Shreider, A.A. Sharov. Systems and models. Radio and Communication, Moskow, 1982.  
  39. V.B. Sochava. Introduction to studies of geosystems. Nauka, Novosibirsk, 1978.  
  40. A.M. Trofimov, E.I. Igonin. Conceptual patterns of modelling in geography. Development of basic ideas and techniques of mathematization and formalization in geography. Izd-vo “Matbugat yorty”, Kazan, 2001.  
  41. A.M. Trofimov, A.G. Stepin, G.A. Stepin. Spatial autocorrelation as the method of quality assessment of territorial organization. Dep. In VINITI, No. 13.00.00, 638-V00.  
  42. S.Yu. Zheltov, A.V. Sibiryakov. Method of subpixel correlation for extremely accurate identification of appropriate points of stereoimages. Recent State and Prospects of Development of Geodesy, Phototopography, Cartography and Geoinformation Systems. Geodesy and Cartography. Moscow, 1997, No. 2.  
  43. A.V. Zhirmunsky, V.I. Kuzmin. Critical levels of development of natural systems. Nauka, Leningrad, 1990.  

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.