Russian version English version
Volume 7   Issue 1   Year 2012
Galitskii V.V.

Models of Tree Dynamics and Tree Community Dynamics: Progressing from Two-Dimensional to Three-Dimensional Models

Mathematical Biology & Bioinformatics. 2012;7(1):54-80.

doi: 10.17537/2012.7.54.

References

  1. Monsi M, Saeki T. Uber den Lichtfaktor in den Pflanzengeselschaften und seine Bedeutung fur die Stoffproduction. Jap. J. Bot. 1953;14(1):22-52.
  2. Xilmi GF. Teoreticheskaia biogeofizika lesa (Theoretical biogeophysics of forest.) Moscow, 1957. 266 p. (in Russ.).
  3. Bixele ZN, Moldau XA, Ross YUK. Matematicheskoe modelirovanie transpiratsii i fotosinteza rastenii pri nedostatke pochvennoi vlagi (Mathematical modelling of a transpiration and photosynthesis of plants at deficiency of a soil moisture.) Leningrad, 1980 (in Russ.).
  4. Hogeweg P, Hesper B. Crowns crowding: an individual oriented model of the Acanthaster phenomenon. In: Acanthaster phenomenon. Ed. Bradbury R. Springer, 1990:169-187. (Lecture Notes in Math. Biol.).
  5. Munro DD. Forest growth models. A prognosis. In: Growth Models for Tree and Stand Simulation. Ed. Fries J. Stockholm: Royal College of Forestry, 1974:7-21. (Research notes - Dept. of Forest Yield Research; nr. 30).
  6. Dale VH, Doyle TW, Shugart HH. A comparison of tree growth models. Ecol. Model. 1985;29:145-169.
  7. Galitskii VV., Tyuryukanov AN. In: Tiuriukanov. Izbrannye trudy (Tyuryukanov AN, Selected Works). 2001:94-108 (in Russ.).
  8. Ramenskij LG. In: Ramenskii LG. Izbrannye raboty. Problemy i metody izucheniia rastitel'nogo pokrova (LG. Ramenskij, Selected works. Problems and methods of studying vegetation). Leningrad,1971;34-56 (in Russ.).
  9. Galitskii VV. Modeling of the plant community: an individual-oriented approach. 1. A model of the plant. Biology Bulletin. 1999;26(5):440-446.
  10. Bertallanfy L von. A quantitative theory of organic growth. Human Biology. 1938;10(2):181-213.
  11. Galitskii VV, Komarov AS. Izvestiya Rossiiskoi Akademii Nauk - Seriya Biologicheskaya. (Biology Bulletin). 1979;5:714-723. (in Russ.).
  12. Galitskii VV. The 2D modeling of tree community: from «microscopic» description to macroscopic behavior. For. Ecol. and Manag. 2003;183:95-111.
  13. Sovetskii entsiklopedicheskii slovar’ (The Soviet encyclopedic dictionary) 2-nd edition. Moscow, 1983. 1600 p. (in Russ.).
  14. Makela A, Hari P. Stand growth model based on carbon uptake and allocation in individual trees. Ecol. Model. 1986;33:315-331.
  15. Botkin DB, Janak JF, Wallis JR. Some ecological consequences of a computer model forest growth. J. Ecology. 1972;60(3):849-872.
  16. Poletaev IA. Problemy kibernetiki (Problems of the Cybernetics). Issue 16. Moscow, 1966:175-177. (in Russ.).
  17. Galitskii VV. Doklady Akademii Nauk SSSR. 1979;246(4):1013-1015. (in Russ.).
  18. Galitskii VV. Izvestiya Rossiiskoi Akademii Nauk -Seriya Biologicheskaya. (Biology Bulletin). 1984;6:823-833. (in Russ.).
  19. Abaturov BD. Bioproduktsionnyi protsess v nazemnykh ekosistemakh (Bioproductional process in terraneous ecosystems.) Moscow, 1979. (in Russ.).
  20. Galitskii VV. Modeling Of The Plant Community: An Individual-Oriented Approach: 2. A Model Of The Community. Biology Bulletin. 2000;27(2):139-145.
  21. Miroshnichenko GN. Botanicheskii  zhurnal (Botanical  zhurnal) 1955;40(3):408-410 (in Russ.).
  22. Voronoj GF. In: Sobranie sochinenii (Collected Works). V. 2. Kiev, 1952:239-368 (in Russ.).
  23. Galitskii VV, Mironenko EV. Mozaika Voronogo na ploskosti. Algoritm postroeniia (Voronoii mosaic on a plane. Algorithm of building.) Pushchino, 1981. 26 p. (in Russ.).
  24. Galitskii VV. In: Modelirovanie biogeotsenoticheskikh protsessov (Modeling biogeocenotic processes). Moscow, 1981:104-118. (in Russ.).
  25. Galitskii VV. On modelling the plant community dynamics. In: Cybernetics and Systems Research. Ed. Trappl R. Amsterdam: North-Holland, 1982:667-682.
  26. Galitskii VV, Abaturov AV. Doklady Akademii Nauk. 1996;347(3):421-423 (in Russ.).
  27. Abaturov AV, Galitskii VV. Ekologiia (Ecology). 1995;3:184-192 (in Russ.).
  28. Galitskii VV. Dynamics Of The Integral Measure Of Competition In Plant Communities Of Different Uniformity. Biology Bulletin. 2006;33(2):119-126.
  29. Galitskii VV. Dynamics of competition in uniform communities of trees. Comm. Ecol. 2006;7:69-80.
  30. White J. Demographic factors in populations of plants. In: Demography and evolution in plant populations. Berkeley: University of California Press, 1980:21-48.
  31. Yoda KT, Kira T, Ogawa H, Hozumi K. Self-thinning in overcrowded pure stands under cultivated and natural conditions (Intraspecific competition among higher plants. XI). Journal of the Institute of Polytechnics, Osaka City University. 1963;14:107-129. (Ser. D)
  32. Zeide B. Analysis of the 3/2 power law of self-thinning. For. Sci. 1987;33(2):517-537.
  33. Weller DE. A reevaluation of the -3/2 power rule of plant self-thinning. Ecol. Monogr. 1987;57:23-43.
  34. Lonsdale WM. The self-thinning rule: dead or alive. Ecol. 1990;71(4):1373-1388.
  35. Norberg RA. Theory of growth geometry of plants and self-thinning of plant populations: geometric similarity, elastic similarity, and different growth modes of plant parts. Am. Nat. 1988;131:220-256.
  36. Galitskii VV. Doklady Akademii Nauk. 1998;362:840-843 (in Russ.).
  37. Mohler CL, Marks PL, Sprugel DG. Stand structure and allometry of trees during self-thinning of pure stands. J. Ecol. 1978;66:599-614.
  38. Sprugel DG. Density, biomass, productivity, and nutrient-cycling changes during stand development in wave-regenerated balsam fir forests. Ecol. Model. 1984;54:165-186.
  39. Galitskii VV. Dynamics of the distribution of free-growing tree biomass with respect to height: model analysis. Doklady Biological Sciences. 2006;407(1):166-168.
  40. Galitskii VV. Issledovano v Rossii (Investigated in the Russia). 2008;128:1309-1320. Available at: http://zhurnal.ape.relarn.ru/articles/2007/128.pdf (accessed 11 September 2011) (in Russ.).
  41. Barthèlèmy D, Caraglio Y. Plant Architecture: A Dynamic, Multilevel and Comprehensive Approach to Plant Form. Structure and Ontogeny. Ann. Bot. 2007;99:375-407.
  42. Tselniker YuL. Lesovedenie (Forestry). 1994;4:35-44. (in Russ.).
  43. Galitskii VV. Zhurn. Obshch. Biol. (Journal of General Biology). 2010;71(1):19-29 (in Russ.).
  44. Serebryakova TI, Voronin NS, Elenevskij AG, Baty'gina TB, SHorina NI, Savinyx NP. Botanika s osnovami fitotsenologii: Anatomiia i morfologiia rastenii (Botany with phytocenology bases: Anatomy and morphology of plants.). Moscow, 2006. 543 p. (in Russ.).
  45. Timiryazev KA. Zhizn' rasteniia (Plant life). Moscow, 1914. 360 p. (in Russ.).
  46. Corana A, Marchesi M, Martini C, Ridella S. Minimizing Multimodal Functions of Continuous Variables with the ‘Simulated Annealing Algorithm’. ACM Trans. Math. Soft. 1987;13(3):262–280.
  47. Kazimirov NI. El'niki Karelii (Spruce forests of Kareliya.) Leningrad, 1971. 139 p. (in Russ.).
  48. Kramer PJ, Kozlowski TT. Physiology of trees. NY.: McGraw-Hill, 1960. 642 p.
  49. Treskin PP. In: Struktura i produktivnost' elovykh lesov iuzhnoi taigi (Structure and productivity of the spruce forests of the southern taiga). Leningrad, 1973:222-240 (in Russ.).
  50. Galitskii VV. Issledovano v Rossii (Investigated in  Russia). 2006;019:191-199. Available at: http://zhurnal.ape.relarn.ru/articles/2006/019.pdf (data obrashheniya: 11 September 2011) (in Russ.).
  51. Galitskii VV. Issledovano v Rossii (Investigated in Russia). 2006;158:1464-1471. Available at: http://zhurnal.ape.relarn.ru/articles/2006/158.pdf (accessed 11 September 2011) (in Russ.).
  52. Weigelt A., Jolliffe P. Indices of plant competition. J. Ecol. 2003;91:707-720.
  53. Galitskii VV. Matematicheskaia biologiia i bioinformatika (Mathematical Biology and Bioinformatics). 2009;4(1):1-20. Available at: http://www.matbio.org/downloads/Galitskii2009(4_1).pdf (accessed 11 September 2011) (in Russ.).

 

 
Table of Contents Original Article
Math. Biol. Bioinf.
2012;7(1):54-80
doi: 10.17537/2012.7.54
published in Russian

Abstract (rus.)
Abstract (eng.)
Full text (rus., pdf)
References

 

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