Scaling and structure of dicotyledonous leaf venation networks

Ecology Letters

Volumn 15, Issue 2, 2012, Pages 87-95

  Price, Charles A ^a   Wing, Scott ^b   Weitz, Joshua S ^c  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

^b DEPARTMENT OF PALEOBIOLOGY   (United States)

^c GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Allometry; Biological networks; Branching; Characteristic scale; Fractal; Functional trait; Scale free; Scaling; Venation network; Xylem

Indexed keywords

ALLOMETRY; DATA SET; DEVELOPMENTAL BIOLOGY; DIAMETER; DICOTYLEDON; EMPIRICAL ANALYSIS; NUMERICAL MODEL; QUANTITATIVE ANALYSIS; SCALE EFFECT; SOFTWARE; XYLEM;

ANGIOSPERM; ARTICLE; BIOLOGICAL MODEL; COMPUTER PROGRAM; FRACTAL ANALYSIS; HISTOLOGY; PLANT LEAF; VASCULAR BUNDLE (PLANT);

ANGIOSPERMS; FRACTALS; MODELS, BIOLOGICAL; PLANT LEAVES; PLANT VASCULAR BUNDLE; SOFTWARE;

EID: 84855462444     PISSN: 1461023X     EISSN: 14610248     Source Type: Journal    
DOI: 10.1111/j.1461-0248.2011.01712.x     Document Type: Article

References (50)

1. Anfodillo, T., Carraro, V., Carrer, M., Fior, C. & Rossi, S. (2006). Convergent tapering of xylem conduits in different woody species. New Phytol., 169, 279-290.
2. Banavar, J.R., Maritan, A. & Rinaldo, A. (1999). Size and form in efficient transport networks. Nature, 399, 130-132.
3. Blonder, B., Violle, C., Bentley, L.P. & Enquist, B.J. (2010). Venation networks and the origin of the leaf economics spectrum. Ecol. Lett., 14, 91-100.
4. Bohn, S., Andreotti, B., Douady, S., Munzinger, J. & Couder, Y. (2002). Constitutive property of the local organization of leaf venation networks. Phys. Rev. E, 65, 12.
5. Boyce, C.K., Brodribb, T.J., Feild, T.S. & Zwieniecki, M.A. (2009). Angiosperm leaf vein evolution was physiologically and environmentally transformative. Proc. R. Soc. B-Biol. Sci., 276, 1771-1776.
6. Brodribb, T.J., Feild, T.S. & Jordan, G.J. (2007). Leaf maximum photosynthetic rate and venation are linked by hydraulics. Plant Physiol., 144, 1890-1898.
7. Canny, M.J. (1990). Tansley Review No. 22. What becomes of the transpiration stream? New Phytol., 114, 341-468.
8. Clauset, A., Shalizi, C.R. & Newman, M.E.J. (2009). Power-law distributions in empirical data. Siam Rev., 51, 661-703.
9. Coomes, D.A., Heathcote, S., Godfrey, E.R., Shepherd, J.J. & Sack, L. (2008). Scaling of xylem vessels and veins within the leaves of oak species. Biol. Lett., 4, 302-306.
10. Corson, F. (2010). Fluctuations and redundancy in optimal transport networks. Phys. Rev. Lett., 104, 4.
11. Dodds, P.S. & Rothman, D.H. (1999). Unified view of scaling laws for river networks. Phys. Rev. E, 59, 4865-4877.
12. Dodds, P.S., Rothman, D.H. & Weitz, J.S. (2001). Re-examination of the "3/4-law" of metabolism. J. Theor. Biol., 209, 9-27.
13. Ellis, B., Daly, D.C., Hickey, L.J., Johnson, K.R., Mitchel, J.D., Wilf, P. et al. (2009). Manual of Leaf Architecture. Cornell University Press, Ithaca.
14. Horn, H.S. (2000). Twigs, trees, and the dynamics of carbon in the landscape. In: Scaling in Biology (eds Brown, J.H. & West, G.B.). Oxford University Press, Oxford, pp. 199-220.
15. Katifori, E., Szollosi, G.J. & Magnasco, M.O. (2010). Damage and fluctuations induce loops in optimal transport networks. Phys. Rev. Lett., 104, 4.
16. Kolokotrones, T., Savage, V., Deeds, E.J. & Fontana, W. (2010). Curvature in metabolic scaling. Nature, 464, 753-756.
17. LaBarbera, M. (1990). Principles of design of fluid transport systems in biology. Science, 249, 992-1000.
18. Lambers, H., Chapin, F.S. & Pons, T.L. (1998). Plant Physiological Ecology. Springer, New York.
19. Levin, S.A. (1992). The problem of pattern and scale in ecology. Ecology, 73, 1943-1967.
20. McCulloh, K.A., Sperry, J.S. & Adler, F.R. (2003). Water transport in plants obeys Murray's law. Nature, 421, 939-942.
21. McMahon, T.A. & Kronauer, R.E. (1976). Tree structures: deducing the principle of mechanical design. J. Theor. Biol., 59, 443-466.
22. Murray, C.D. (1926). The physiological principle of minimum work. I. The vascular system and the cost of blood volume. Proc. Nat. Acad. Sci., 12, 207-214.
23. Niinemets, U., Portsmuth, A., Tena, D., Tobias, M., Matesanz, S. & Valladares, F. (2007a). Do we underestimate the importance of leaf size in plant economics? Disproportional scaling of support costs within the spectrum of leaf physiognomy. Ann. Bot., 100, 283-303.
24. Niinemets, U., Portsmuth, A. & Tobias, M. (2007b). Leaf shape and venation pattern alter the support investments within leaf lamina in temperate species: a neglected source of leaf physiological differentiation? Funct. Ecol., 21, 28-40.
25. Noblin, X., Mahadevan, L., Coomaraswamy, I.A., Weitz, D.A., Holbrook, N.M. & Zwieniecki, M.A. (2008). Optimal vein density in artificial and real leaves. Proc. Natl. Acad. Sci. USA, 105, 9140-9144.
26. Onoda, Y., Westoby, M., Adler, P.B., Choong, A.M.F., Clissold, F.J., Cornelissen, J.H.C. et al. (2011). Global patterns of leaf mechanical properties. Ecol. Lett., 14, 301-312.
27. Petit, G. & Anfodillo, T. (2009). Plant physiology in theory and practice: an analysis of the WBE model for vascular plants. J. Theor. Biol., 259, 1-4.
28. Price, C.A. & Enquist, B.J. (2007). Scaling mass and morphology in leaves: an extension of the WBE model. Ecology, 88, 1132-1141.
29. Price, C.A., Enquist, B.J. & Savage, V.M. (2007). A general model for allometric covariation in botanical form and function. Proc. Nat. Acad. Sci., 104, 13204-13209.
30. Price, C.A., Gillooly, J.F., Allen, A.P., Weitz, J.S. & Niklas, K.J. (2010a). The metabolic theory of ecology: prospects and challenges for plant biology. New Phytol., 188, 696-710.
31. Price, C.A., Symonova, O., Mileyko, Y., Hilley, T. & Weitz, J.S. (2010b). Leaf extraction and analysis framework graphical user interface: segmenting and analyzing the structure of leaf veins and areoles. Plant Physiol., 155, 236-245.
32. Raven, J.A. (1994). The significance of the distance from photosynthesizing cells to vascular tissue in extant and early vascular plants. Bot. J. Scotland, 47, 65-81.
33. Rodriguez-Iturbe, I. & Rinaldo, A. (1997). Fractal River Basins: Chance and Self-Organization. Cambridge University Press, New York.
34. Rolland-Lagan, A.G., Amin, M. & Pakulska, M. (2009). Quantifying leaf venation patterns: two-dimensional maps. Plant J., 57, 195-205.
35. Sack, L. & Frole, K. (2006). Leaf structural diversity is related to hydraulic capacity in tropical rain forest trees. Ecology, 87, 483-491.
36. Sack, L. & Holbrook, N.M. (2006). Leaf Hydraulics. Ann. Rev. Plant Biol., 57, 361-381.
37. Sack, L., Dietrich, E.M., Streeter, C.M., Sanchez-Gomez, D. & Holbrook, N.M. (2008). Leaf palmate venation and vascular redundancy confer tolerance of hydraulic disruption. Proc. Natl. Acad. Sci. USA, 105, 1567-1572.
38. Savage, V.M., Gillooly, J.F., Woodruff, W.H., West, G.B., Allen, A.P., Enquist, B.J. et al. (2004). The predominance of quarter-power scaling in biology. Funct. Ecol., 18, 257-282.
39. Savage, V.M., White, E.P., Moses, M.E., Ernest, S.K.M., Enquist, B.J. & Charnov, E.L. (2006). Comment on "The illusion of invariant quantities in life histories". Science, 312, 198.
40. Savage, V.M., Bentley, L.P., Enquist, B.J., Sperry, J.S., Smith, D.D., Reich, P.B. & von Allmen, E.I. (2010). Hydraulic trade-offs and space filling enable better predictions of vascular structure and function in plants. Proc. Natl. Acad. Sci. U.S.A., 107, 22722-22727.
41. Scoffoni, C., Rawls, M., McKown, A., Cochard, H. & Sack, L. (2011). Decline of leaf hydraulic conductance with dehydration: relationship to leaf size and venation architecture. Plant Physiol., 156, 832-843.
42. Turcotte, D.L., Pelletier, J.D. & Newman, W.I. (1998). Networks with side branching in biology. J. Theor. Biol., 193, 577-592.
43. Tyree, M.T. & Ewers, F.W. (1991). The hydraulic architecture of trees and other woody plants. New Phytol., 119, 345-360.
44. Tyree, M.T. & Zimmerman, M. (2002). Xylem Structure and the Ascent of Sap. Springer, Berlin.
45. Warton, D.I., Wright, I.J., Falster, D.S. & Westoby, M. (2006). Bivariate line-fitting methods for allometry. Biol. Rev., 81, 259-291.
46. Weitz, J.S., Ogle, K. & Horn, H.S. (2006). Ontogenetically stable hydraulic design in woody plants. Funct. Ecol., 20, 191-199.
47. West, G.B., Brown, J.H. & Enquist, B.J. (1997). A general model for the origin of allometric scaling laws in biology. Science, 276, 122-126.
48. West, G.B., Brown, J.H. & Enquist, B.J. (1999). A general model for the structure and allometry of plant vascular systems. Nature, 400, 664-667.
49. Zamir, M. (2001). Fractal dimensions and multifractility in vascular branching. J. Theor. Biol., 212, 183-190.
50. Zwieniecki, M.A., Melcher, P.J., Boyce, C.K., Sack, L. & Holbrook, M. (2002). Hydraulic architecture of leaf venation in Laurus nobilis L. Plant Cell Environ., 25, 1445-1450.