PAN Wen-Bin, LI Dao-Feng, TANG Tao, CAI Qing-Hua. STUDIES ON FRACTAL CHARACTER OF MACROPHYTES’LEAVES[J]. ACTA HYDROBIOLOGICA SINICA, 2004, 28(1): 23-28.
Citation: PAN Wen-Bin, LI Dao-Feng, TANG Tao, CAI Qing-Hua. STUDIES ON FRACTAL CHARACTER OF MACROPHYTES’LEAVES[J]. ACTA HYDROBIOLOGICA SINICA, 2004, 28(1): 23-28.

STUDIES ON FRACTAL CHARACTER OF MACROPHYTES’LEAVES

  • Received Date: May 22, 2003
  • Rev Recd Date: September 29, 2003
  • Published Date: January 24, 2004
  • The issue applied the fractal theory to study th e character of dominant macrophytes' leaves in Baoan Lake of Hubei Province. The leaves are the most representative modules, and many scientists study the mo rphology of them. The leaves of macrophytes are the main organs that participate the photosynthesis in the water. The leaf numbers, the leaf surface and spatial pattern of them directly influence the illumination intensity and spectrum comp onent, which affects the plant's utilization efficiency of light. By introducing the Box-counting dimension (self-made software), one method the fractal theor y provided, the scanned photos of leaves were treated. The fractal dimension (FD) ofPotamogeton malaianus leaves was between 1.322 and 1.520,with an ave rage of 1.441,and a standard deviation of 0.0547. The FD ofPotamogeton cri spus leaves was between 1.381 and 1.565,with an average of 1.472,and a standard deviation of 0.0489 . The FD of Najas marina leaves was between 1.209 and 1.406,with an avera ge of 1.325,and a standard deviation of 0.0547. The FD ofHydrilla verticil lata leaves was between 1.001 and 1.217,with an average of 1.103,and a standard deviation of 0.0456. The FD ofCeratophyllum oryzetorum leaves was between 1.221 and 1.542, with an average of 1.442,and a standa rd deviation of 0.0862. By compared with the morphological differences among their leaves, we can well realize the ecological meanings of the fractal dimensions (FD) calculated. The sequence of average FD of leaves was:Potamogeton crispus>Ceratophyllum oryzetorum>Potamogeton malaianus>Najas marina>Hydrilla vert icillata, which indicated the difference in the ability of spatial occupying a nd utilizing among different species' leaves. The t-test for fractal dimension of 5 macrophytes' leaves showed that there are no significant differences betwe enPotamogeton crispus, Ceratophyllum oryzetorum andPotamogeton malaianus, which could be caused by the reasonPotamogeton crispus andPotamogeto n malaianus belonging toPotamogetonaceae. The t-test also showed that t he leaves ofCeratophyllum oryzetorum have a spatial pattern more similar to them. The work well describes the morphology of different species' leaves in qu antity. It will benefit realization of the macrophytes’ adaption to water body, and provide the basic information for our further study on the macrophytes patte rn at large scale.
  • [1]
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    Chang J, Chen G, Ge Y. Fractal character and simulation of plant structure[M].Hangzhou: Hangzhou University Press, 1995.[常杰,陈刚,葛滢,1995. 植物结构的分形特征及模拟. 杭州:杭州大学出版社. 1995][2] Li Y X, Liu Y C, Zhong Z C. Modular theory in plant population ecology[J]. Chinese Journal of Ecology,1995,14(6):35-41.[黎云祥,刘玉成,钟章成. 植物种群生态学中的构件理论. 生态学杂志,1995,14(6):35-41][3] Hálle F R, Oldeman A A,Tomlinson P B. Tropical trees and forests: An architecture analysis[M]. New York: Springer-Verlag,1978[4] Harper J L, White J.The demography of plants [J].Ann. Rev. Ecol. Syst., 1974,5:419-463[5] Jones M, Harper J L. The influence of neighbours on the growth of trees I. The demography of buds in Betula pendula [J].Proceedings of the Royal Society of London, B, 1987, 232:1-18[6] Maillette L. Seasonal model of modular growth in plants [J]. Journal of Ecology 1992, 80:123-130[7] Dibble E D, Killgore K J. Measurement of Plant Architecture in Aquatic Plants [J]. Journal of Freshwater Ecology,1996,11:311-318[8] Molenaar H, Barthélémy D, de Reffye P, et al. Modelling architecture and growth patterns of Posidonia oceanica[J].Aquatic Botany,2000,66:85-99[9] Li W and Zhong Y. Theories and methods of the study of aquatic vegetation [M]. Wuhan: Huazhong Normal University Press, 1992.[李伟,钟扬. 水生植被研究的理论与方法. 武汉:华中师范大学出版社,1992][10] Pan WB and Cai QH. Studies on macrophytes community pattern in a bay of Baoan Lake, Hubei [J].Acta Hydrobiologica Sinica, 2000a,24(5):412-417.[潘文斌,蔡庆华. 保安湖一湖湾大型水生植物群落格局的研究. 水生生物学报,2000a,24(5):412-417][11] Pan WB and Cai QH. Preliminary studies on fractal character of horizontal pattern of Ass. Nelumbo nucifera in Baoan Lake [J].Acta Hydrobiologica Sinica,2000b,24(5):405-411.[潘文斌,蔡庆华. 保安湖莲群丛分布格局分形特征的初步研究. 水生生物学报,2000b,24(5):405-411][12] Morse DR, Lawton JH, Dodson MM, et al., Fractal dimension of vegetation and the distribution of arthopod body lengths [J]. Nature,1985,314:731-733[13] Mandelbrot BB. The Fractal Geometry of Nature [M].San Franciscos: W. H. Freeman, 1983[14] Falconer K. Fractal geometry:Mathematical foundations and applications [M]. New York: Wiley, 1990[15] Cai QH and Wu G. Growth pattern of reed in Caogang Lake, Huanghuaihai Plain, China [J].Journal of Environmental Sciences,1999,11(1):100-105[16] Huang Z L, Chang J B. Fractal characteristics of length-weight relationship in fish[J]. Acta Hydrobiologia Sinica,1999,23(4):330-336.[黄真理,常剑波. 鱼类体长与体重关系中的分形特征. 水生生物学报,1999,23(4):330-336][17] Cai Q H, Zhao B. and Pan W B. Preliminary study on fractal character of growth pattern of reed [J].Acta Hydrobiologia Sinica,1998,22(2):123-127.[蔡庆华,赵斌,潘文斌. 芦苇生长格局分形特征的初步研究. 水生生物学报,1998,22(2):123-127][18] Sand-Jensen K. Influence of submerged macrophytes on sediment composition and near-bed flow in lowland streams[J].Freshwater biology,1998,39:663-679

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