Internode morphometrics and allometry of Tonkin Cane Pseudosasa amabilis

Abstract Pseudosasa amabilis (McClure) (Poales: Gramineae) is a typical bamboo species naturally distributed in large area of south China and famous for its culm strength. Although bamboos were found to share the same development rule, the detailed internode morphology of bamboo culm was actually not fully expressed. We explored internode morphology of P. amabilis using 11 different physical parameters in different dimensions (1–4). As Taylor's power law (TPL) is generally applicable to describe relationship between mean and variance of population density, here we used TPL to evaluate the differences between internodes, and further, the relationship between dimension and TPL. Results showed that length (L), hollow radius (HR), hollow area (HA), hollow cylinder volume (HCV), total cylinder volume (TCV), density (De), and weight (W) all presented positive skewed distribution in varying degrees. For the basic one‐dimensional parameters, the 9th internode was the longest, the 7th the heaviest, while thickness (T) decreased with internodes. Diameter (D) decreased in general but with an inconspicuous local mode at the 5–6th internodes, potentially due to the rapid height growth. The longest (9th) internode was the “turning point” for T‐D and HR‐D relationships. Scatter plot changing trends of W to the one‐dimensional parameters after the heaviest (7th) internode were reversed, indicating a deceleration of growth speed. TPL was not holding well in one‐dimensional parameters (R 2: 0.5413–0.8125), but keep increasing as the parameter's dimension increasing (R 2 > 0.92 for two‐dimensional, R 2 > 0.97 for three‐dimensional, and R 2 > 0.99 for four‐dimensional parameters.), suggesting an emergence mechanism of TPL related to both the physical dimensions of morphological measures and the allometric growth of bamboo. From the physical fundamental level, all existences are the expression of energy distribution in different dimensions, implying a more general rule that energy distribution holds better TPL in higher dimension level.

[1]  Yun Hon Guangdong Pseudosasa Amabilis Performance Analysis and Its Development and Utilization , 2013 .

[2]  Ford Ballantyne,et al.  The observed range for temporal mean‐variance scaling exponents can be explained by reproductive correlation , 2007 .

[3]  Joel E. Cohen,et al.  Random sampling of skewed distributions implies Taylor’s power law of fluctuation scaling , 2015, Proceedings of the National Academy of Sciences.

[4]  Hongzhi Cui,et al.  The effect of fiber density on strength capacity of bamboo , 2004 .

[5]  J. Lepš Taylor's power law and the measurement of variation in the size of populations in space and time , 1993 .

[6]  James H. Brown,et al.  A general model for the structure and allometry of plant vascular systems , 1999, Nature.

[7]  M. Livio The Golden Ratio: The Story of Phi, the World's Most Astonishing Number , 2002 .

[8]  L. R. Taylor,et al.  Aggregation, Variance and the Mean , 1961, Nature.

[9]  Walter Liese,et al.  On the anatomy of Asian bamboos, with special reference to their vascular bundles , 1971, Wood Science and Technology.

[10]  L. R. Taylor,et al.  Aggregation, migration and population mechanics , 1977, Nature.

[11]  Z. Wu,et al.  Differences in structure and strength between internode and node sectionss of moso bamboo. , 2010 .

[12]  Susan Kelley,et al.  Flora of China , 2008 .

[13]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[14]  Huang Shun-sheng On geochemical regionalization of soils in Jiangsu , 2011 .

[15]  M. Hassell,et al.  Variability in the abundance of animal and plant species , 1982, Nature.

[16]  E. White,et al.  A Process-Independent Explanation for the General Form of Taylor’s Law , 2014, The American Naturalist.

[17]  W. Liese,et al.  Research on bamboo , 1987, Wood Science and Technology.

[18]  Walter Liese,et al.  Bamboos - Biology, silvics, properties, utilization , 1985 .

[19]  J.M.O. Scurlock,et al.  Bamboo: an overlooked biomass resource? , 2000 .

[20]  J. Kertész,et al.  Fluctuation scaling in complex systems: Taylor's law and beyond , 2007, 0708.2053.

[21]  Walter Liese,et al.  Bamboo , 2015, Tropical Forestry.

[22]  Albert Einstein,et al.  Does the Inertia of a Body Depend upon Its Energy-content? , 2001 .

[23]  A. Nath,et al.  Culm characteristics and volume-weight relationship of a forest bamboo (Melocanna baccifera (Roxb.) Kurz) from northeast India , 2015, Journal of Forestry Research.

[24]  A. Maritan,et al.  Sample and population exponents of generalized Taylor’s law , 2014, Proceedings of the National Academy of Sciences.

[25]  D. Ratkowsky,et al.  Comparison of two ontogenetic growth equations for animals and plants , 2017 .

[26]  Agata Fronczak,et al.  Origins of Taylor's power law for fluctuation scaling in complex systems. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[27]  N. Picard,et al.  A Point-Process Model for Variance-Occupancy-Abundance Relationships , 2011, The American Naturalist.

[28]  Wen-Shao Chang,et al.  Density distribution profile for internodes and nodes of Phyllostachys edulis (Moso bamboo) by computer tomography scanning , 2015 .

[29]  J. Görgens,et al.  Hemicelluloses extraction from giant bamboo (Bambusa balcooa Roxburgh) prior to kraft or soda-AQ pulping and its effect on pulp physical properties , 2013 .

[30]  Z. Fei,et al.  Exploring key cellular processes and candidate genes regulating the primary thickening growth of Moso underground shoots. , 2017, New Phytologist.

[31]  Wang Yan 3D Bamboo Reconstruction Method , 2007 .

[32]  S. Adhikari,et al.  Dynamic Variation of Fuel Properties of Tonkin Cane (Pseudosasa amabilis) during Maturation , 2015 .

[33]  Peijian Shi,et al.  Dispersal distance determines the exponent of the spatial Taylor’s power law , 2016 .

[34]  Mohammad Jawaid,et al.  Variations in Moisture Content Affect the Shrinkage of Gigantochloa scortechinii and Bambusa vulgaris at Different Heights of the Bamboo Culm , 2014 .

[35]  A. Einstein Ist die Trägheit eines Körpers von seinem Energieinhalt abhängig? [AdP 18, 639 (1905)] , 2005, Annalen der Physik.

[36]  A. Inoue Culm form analysis for bamboo, Phyllostachys pubescens , 2013, Journal of Forestry Research.

[37]  Walter Liese,et al.  Bamboo and Rattan in the World , 2003 .