Murray's law, the 'Yarrum' optimum, and the hydraulic architecture of compound leaves

New Phytologist

Volumn 184, Issue 1, 2009, Pages 234-244

  McCulloh, Katherine A ^a   Sperry, John S ^b   Meinzer, Frederick C ^c   Lachenbruch, Barbara ^a   Atala, Cristian ^d  

^a OREGON STATE UNIVERSITY   (United States)

^b UNIVERSITY OF UTAH   (United States)

^c U S DEPARTMENT OF AGRICULTURE   (United States)

^d UNIVERSITY OF CONCEPCIÓN   (Chile)

Author keywords

Compound leaves; Hydraulic architecture; Hydraulic efficiency; Leaf specific conductivity; Murray's law

Indexed keywords

WATER;

DIAMETER; HYDRAULIC CONDUCTIVITY; LEAF AREA; LEAF MORPHOLOGY; PLANT ARCHITECTURE;

ARTICLE; BIOLOGICAL MODEL; HISTOLOGY; PHYSIOLOGY; PLANT LEAF; REGRESSION ANALYSIS;

MODELS, BIOLOGICAL; PLANT LEAVES; REGRESSION ANALYSIS; WATER;

FILICOPHYTA; MAGNOLIOPHYTA;

EID: 69949086639     PISSN: 0028646X     EISSN: 14698137     Source Type: Journal    
DOI: 10.1111/j.1469-8137.2009.02950.x     Document Type: Article

References (30)

1. Aloni R, Zimmermann MH. 1983. The control of vessel size and density along the plant axis - a new hypothesis. Differentiation 24 : 203 208.
2. Anfodillo T, Carraro V, Carrer M, Fior C, Rossi S. 2006. Convergent tapering of xylem conduits in different woody species. New Phytologist 169 : 279 290.
3. Arcand N, Kagawa AK, Sack L, Giambelluca TW. 2008. Scaling of frond form in Hawaiian tree fern Cibotium glaucum: compliance with global trends and application for field estimation. Biotropica 40 : 686 691.
4. Atala C, Lusk CH. 2008. Xylem anatomy of Betula pendula Roth saplings: relationship to physical vascular models. Gayana Botanica 65 : 18 27.
5. Banavar JR, Maritan A, Rinaldo A. 1999. Size and form in efficient transportation networks. Nature 399 : 130 132.
6. Canny MJ. 1993. The transpiration stream in the leaf apoplast: water and solutes. Philosophical Transactions of the Royal Society of London B, Biological Sciences 341 : 87 100.
7. Choat B, Cobb AR, Jansen S. 2008. Structure and function of bordered pits: new discoveries and impacts on whole-plant hydraulic function. New Phytologist 177 : 608 626.
8. Coomes D, Heathcote S, Godfrey ER, Shepherd JJ, Sack L. 2008. Scaling of xylem vessels and veins within the leaves of oak species. Biology Letters 4 : 302 306.
9. Edwards HC, Penney DE. 1998. Calculus with analytical geometry. Upper Saddle River, NJ, USA : Prentice Hall, 1020.
10. Ewers FW, Ewers JM, Jacobsen AL, Lopez-Portillo J. 2007. Vessel redundancy: modeling safety in numbers. IAWA Bulletin 28 : 373 388.
11. Givnish TJ. 1978. On the adaptive significance of compound leaves, with particular reference to tropical trees. In : Tomlinson PB, Zimmermann MH, eds. Tropical trees as living systems. Cambridge, UK : Cambridge University Press, 351 380.
12. Hacke UG, Sperry JS, Pockman WP, Davis SD, McCulloh KA. 2001. Trends in wood density and structure are linked to prevention of xylem implosion by negative pressure. Oecologia 126 : 457 461.
13. Horn HS. 2000. Twigs, trees and the dynamics of carbon in the landscape. In : Brown JH, West GB, eds. Scaling in biology. Oxford, UK : Oxford University Press, 199 220.
14. Jasienski M, Bazzaz FA. 1999. The fallacy of ratios and the testability of models in biology. Oikos 84 : 321 326.
15. McCulloh KA, Sperry JS. 2005a. Patterns in hydraulic architecture and their implications for transport efficiency. Tree Physiology 25 : 257 267.
16. McCulloh KA, Sperry JS. 2005b. The evaluation of Murray's law in Psilotum nudum (Psilotaceae), an analogue of ancestral plants. American Journal of Botany 92 : 985 989.
17. McCulloh KA, Sperry JS. 2006. Murray's law and the vascular architecture of plants. In : Herrel A, Speck T, Rowe NP, eds. Ecology and biomechanics. Boca Raton, FL, USA : Taylor and Francis, 85 100.
18. McCulloh KA, Sperry JS, Adler FR. 2003. Water transport in plants obeys Murray's law. Nature 421 : 939 942.
19. McCulloh KA, Sperry JS, Adler FR. 2004. Murray's law and the hydraulic versus mechanical functioning of wood. Functional Ecology 18 : 931 938.
20. Murray CD. 1926. The physiological principle of minimum work. I. The vascular system and the cost of blood volume. Proceedings of the National Academy of Sciences, USA 12 : 207 214.
21. Niklas KJ. 1994. Plant Allometry. Chicago: The University of Chicago Press.
22. Packard GC, Boardman TJ. 1988. The misuse of ratios, indexes, and percentages in ecophysiological research. Physiological Zoology 61 : 1 9.
23. Quinn GP, Keough MJ. 2002. Experimental design and data analysis for biologists. Cambridge, UK : Cambridge University Press, 537.
24. Sack L, Cowan PD, Jaikumar N, Holbrook NM. 2003. The 'hydrology' of leaves: co-ordination of structure and function in temperate woody species. Plant, Cell & Environment 26 : 1343 1356.
25. Sherman TF. 1981. On connecting large vessels to small: the meaning of Murray's law. The Journal of General Physiology 78 : 431 453.
26. Sherman TF, Popel AS, Koller A, Johnson PC. 1989. The cost of departure from optimal radii in microvascular networks. Journal of Theoretical Biology 136 : 245 265.
27. Sperry JS, Hacke UG, Pittermann J. 2006. Size and function in conifer tracheids and angiosperm vessels. American Journal of Botany 93 : 1490 1500.
28. Sperry JS, Meinzer FC, McCulloh KM. 2008. Safety and efficiency conflicts in hydraulic architecture: scaling from tissues to trees. Plant, Cell & Environment 31 : 632 645.
29. Weitz J, Ogle K, Horn HS. 2006. Ontogenetically stable hydraulic design in woody plants. Functional Ecology 20 : 191 199.
30. West GB, Brown JH, Enquist BJ. 1997. A general model of the origin of allometric scaling laws in biology. Science 276 : 122 126.