Finite element tree crown hydrodynamics model (FETCH) using porous media flow within branching elements: A new representation of tree hydrodynamics

Water Resources Research

Volumn 41, Issue 11, 2005, Pages 1-17

  Bohrer, Gil ^a   Mourad, Hashem ^a   Laursen, Tod A ^a   Drewry, Darren ^a   Avissar, Roni ^a   Poggi, Davide ^b   Oren, Ram ^b   Katul, Gabriel G ^b  

^a Duke University   (United States)

^b DUKE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAPACITORS; FINITE ELEMENT METHOD; FLOW OF WATER; FRACTALS; HYDRAULICS; HYDROLOGY; POROUS MATERIALS; RESISTORS; TRANSPIRATION; TREES (MATHEMATICS); WATER RESOURCES;

BRANCHING ELEMENTS; FINITE ELEMENT TREE CROWN HYDRODYNAMICS (FETCH) MODELS; POROUS MEDIA FLOW; TRANSPIRATIONAL DYNAMICS;

HYDRODYNAMICS;

CANOPY; HYDRODYNAMICS; STOMATAL CONDUCTANCE; TRANSPIRATION;

EID: 29944435702     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2005WR004181     Document Type: Article

References (88)

1. Addington, R. N., R. J. Mitchell, R. Oren, and L. A. Donovan (2004), Stomatal sensitivity to vapor pressure deficit and its relationship to hydraulic conductance in Pinus palustris, Tree Physiol., 24, 561-569.
2. Alder, N. N., W. T. Pockman, J. S. Sperry, and S. Nuismer (1997), Use of centrifugal force in the study of xylem cavitation, J. Exp. Bot., 48, 665-674.
3. Arbogast, T., M. Obeyesekere, and M. F. Wheeler (1993), Numerical-methods for the simulation of flow in root-soil systems, SIAM J. Numer. Anal., 30, 1677-1702.
4. Aumann, C. A., and E. D. Ford (2002a), Modeling tree water flow as an unsaturated flow through a porous medium, J. Theor. Biol., 219, 415-429.
5. Aumann, C. A., and E. D. Ford (2002b), Parameterizing a model of Douglas fir water flow using a tracheid-level model, J. Theor. Biol., 219, 431-462.
6. 2 and sensible heat-flux densities and scalar profiles over and within a soybean canopy, Boundary Layer Meteorol., 61, 113-144.
7. Baldocchi, D., and T. Meyers (1998), On using eco-physiological, micrometeorological and biogeochemical theory to evaluate carbon dioxide, water vapor and trace gas fluxes over vegetation: A perspective, Agric. For. Meteorol., 90, 1-25.
8. Borchert, R. (1994), Soil and stem water storage determine phenology and distribution of tropical dry forest trees, Ecology, 75, 1437-1449.
9. Brodribb, T. J., and N. M. Holbrook (2004), Diurnal depression of leaf hydraulic conductance in a tropical tree species. Plant Cell Environ., 27, 820-827.
10. Campbell, G. S., and J. M. Norman (1998), An Introduction to Environmental Biophysics, 2nd ed., 286 pp., Springer, New York.
11. Chuang, Y., R. Oren, A. L. Bertozzi, N. Phillips, and G. Katul (2005), The porous media model for the hydraulic system of a tree: From sap flux data to transpiration rate, Ecol. Modell., in press.
12. Collatz, G. J., J. T. Ball, C. Grivet, and J. A. Berry (1991), Physiological and environmental regulation of stomatal conductance, photosynthesis and transpiration: A model that includes a laminar boundary layer, Agric. For. Meteorol., 54, 107-136.
13. Cruiziat, P., H. Cochard, and T. Améglio (2002), Hydraulic architecture of trees: Main concepts and results, Ann. For. Sci., 59, 723-752.
14. Domec, J. C., and B. L. Gartner (2003), Relationship between growth rates and xylem hydraulic characteristics in young, mature and old-growth ponderosa pine trees, Plant Cell Environ., 26, 471-483.
15. Ewers, B. E., R. Oren, N. Phillips, M. Strömgren, and S. Linder (2001), Mean canopy stomatal conductance responses to water and nutrient availabilities in Picea abies and Pinus taeda, Tree Physiol., 21, 841-850.
16. 2 assimilation in leaves of C-3 species, Planta, 149, 78-90.
17. Feild, T. S., T. Brodribb, and M. Holbrook (2002), Hardly a relict: Freezing and the evolution of vesselless wood in Winteraceae, Evolution, 56, 464-478.
18. Früh, T., and W. Kurth (1999), The hydraulic system of trees: Theoretical framework and numerical simulation, J. Theor. Biol., 201, 251-270.
19. Goldstein, G., J. L. Andrade, F. C. Meinzer, N. M. Holbrook, J. Cavelier, P. Jackson, and A. Celis (1998), Stem water storage and diurnal patterns of water use in tropical forest canopy trees, Plant Cell Environ., 21, 397-406.
20. Hacke, U. G., J. S. Sperry, B. E. Ewers, D. S. Ellsworth, K. V. R. Schäfer, and R. Oren (2000), Influence of soil porosity on water use in Pinus taeda, Oecologia, 124, 495-505.
21. Herzog, K. M., R. Thum, G. Kronfuss, H. J. Heldstab, and R. Häsler (1998), Patterns and mechanisms of transpiration in a large sub alpine Norway spruce (Picea abies (L.) Karst.), Ecol. Res., 13, 105-116.
22. Hubbard, R. M., M. G. Ryan, V. Stiller, and J. S. Sperry (2001), Stomatal conductance and photosynthesis vary linearly with plant hydraulic conductance in ponderosa pine, Plant Cell Environ., 24, 113-121.
23. Hughes, T. J. R. (2000), The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, 682 pp., Dover, Mineola, N. Y.
24. Jones, H. G. (1992), Plant water relations, in Plants and Microclimate: A Quantitative Approach to Environmental Plant Physiology, edited by G. J. Hamlyn, pp. 72-105, Cambridge Univ. Press, New York.
25. Katul, G., R. Leuning, and R. Oren (2003), Relationship between plant hydraulic and biochemical properties derived from a steady-state coupled water and carbon ' transport model, Plant Cell Environ., 26, 339-350.
26. Köstner, B. (2001), Evaporation and transpiration from forests in central Europe: Relevance of patch-level studies for spatial scaling, Meteorol. Atmos. Phys., 76, 69-82.
27. Kumagai, T. (2001), Modeling water transportation and storage in sapwood: Model development and validation, Agric. For. Meteorol., 109, 105-115.
28. 2 exchange by a coupled Eulerian-Langrangian approach, Boundary Layer Meteorol., 95, 91-122.
29. 2 and water vapor turbulent flux distributions within a forest canopy, J. Geophys. Res., 105, 26,333-26,351.
30. Lai, C. T., G. Katul, J. Butnor, D. Ellsworth, and R. Oren (2002), Modeling nighttime ecosystem respiration by a constrained source optimization method, Global Change Biol., 8, 124-141.
31. Lefsky, M. A., W. B. Cohen, G. G. Parker, and D. J. Harding (2002), Lidar remote sensing for ecosystem studies, Bioscience, 52, 19-30.
32. Leonardo da Vinci (1970), Botany for painters and elements of landscape painting, in The Notebooks of Leonardo da Vinci Compiled and Edited From the Original Manuscripts, vol. 1, edited by J. P. Richter, pp. 203-240, Dover, Mineola, N. Y.
33. Leuning, R. (1995), A critical-appraisal of a combined stomatal-photosynthesis model for C-3 plants, Plant Cell Environ., 18, 339-355.
34. Leuning, R. (1997), Scaling to a common temperature improves the correlation between the photosynthesis parameters J (max) and V-cmax, J. Exp. Bot., 48, 345-347.
35. Leuning, R. (2002), Temperature dependence of two parameters in a photosynthesis model, Plant Cell Environ., 25, 1205-1210.
36. Leuning, R., F. M. Kelliher, D. G. G. Depury, and E. D. Schulze (1995), Leaf nitrogen, photosynthesis, conductance and transpiration: Scaling from leaves to canopies, Plant Cell Environ., 18, 1183-1200.
37. Liang, X., D. P. Lettenmaier, E. F. Wood, and S. J. Burges (1994), A simple hydrologically based model of land-surface water and energy fluxes for general circulation models, J. Geophys. Res., 99, 14,415-14,428.
38. Lindenmayer, A. (1968), Mathematical models for cellular interaction in development, J. Theor. Biol., 18, 280-315.
39. Lindenmayer, A. (1971), Development systems without cellular interaction, their languages and grammars, J. Theor. Biol., 30, 455-484.
40. Maherali, H., and E. H. DeLucia (2001), Influence of climate-driven shifts in biomass allocation on water transport and storage in ponderosa pine, Oecologia, 129, 481-491.
41. Mayr, S., F. Schwienbacher, and H. Bauer (2003), Winter at the alpine timberline: Why does embolism occur in Norway spruce but not in stone pine?, Plant Physiol., 131, 780-792.
42. McCulloh, K. A., J. S. Sperry, and F. R. Adler (2003), Water transport in plants obeys Murray's law, Nature, 421, 939-942.
43. Meinzer, F. C., S. A. James, G. Goldstein, and D. Woodruff (2003), Whole-tree water transport scales with sapwood capacitance in tropical forest canopy trees, Plant Cell Environ., 26, 1147-1155.
44. Murray, C. D. (1926), The physiological principle of minimum work: I. The vascular system and the cost of blood volume, Proc. Natl. Acad. Sci. U. S. A., 12, 207-214.
45. Nishida, K., R. R. Nemani, S. W. Running, and J. M. Glassy (2003), An operational remote sensing algorithm of land surface evaporation, J. Geophys. Res., 108(D9), 4270, doi:10.1029/2002JD002062.
46. Oren, R., K. S. Werk, and E. D. Schulze (1986), Relationships between foliage and conducting xylem in Picea abies (L.) Karst, Trees Struct. Funct., 1, 61-69.
47. Oren, R., R. Zimmermann, and J. Terborgh (1996), Transpiration in upper Amazonia floodplain and upland forests in response to drought-breaking rains, Ecology, 77, 968-973.
48. Oren, R., N. Phillips, G. Katul, B. E. Ewers, and D. E. Pataki (1998), Scaling xylem sap flux and soil water balance and calculating variance: A method for partitioning water flux in forests, Ann. For. Sci., 55, 191-216.
49. Oren, R., N. Phillips, B. E. Ewers, D. E. Pataki, and J. P. Megonigal (1999a), Sap-flux-scaled transpiration responses to light, vapor pressure deficit, and leaf area reduction in a flooded Taxodium distichum forest, Tree Physiol., 19, 337-347.
50. Oren, R., J. S. Sperry, G. G. Katul, D. E. Pataki, B. E. Ewers, N. Phillips, and K. V. R. Schäfer (1999b), Survey and synthesis of intra- and inter-specific variation in stomatal sensitivity to vapor pressure deficit, Plant Cell Environ., 22, 1515-1526.
51. Oren, R., J. S. Sperry, B. E. Ewers, D. E. Pataki, N. Phillips, and J. P. Megonigal (2001), Sensitivity of mean canopy stomatal conductance to vapor pressure deficit in a flooded Taxodium distichum L. forest: Hydraulic and non-hydraulic effects, Oecologia, 126, 21-29.
52. Pataki, D. E., R. Oren, and W. K. Smith (2000), Sap flux of co-occurring species in a western subalpine forest during seasonal soil drought, Ecology, 81, 2557-2566.
53. Phillips, N., R. Oren, and R. Zimmermann (1996), Radial patterns of xylem sap flow in non-, diffuse- and ring-porous tree species, Plant Cell Environ., 19, 983-990.
54. Phillips, N., A. Nagchaudhuri, R. Oren, and G. Katul (1997), Time constant for water transport in loblolly pine trees estimated from time series of evaporative demand and stem sap-flow, Trees Struct. Funct., 11, 412-419.
55. Phillips, N., R. Oren, R. Zimmermann, and S. J. Wright (1999), Temporal patterns of water flux in trees and lianas in a Panamanian moist forest, Trees Struct. Funct., 14, 116-123.
56. Phillips, N., J. Bergh, R. Oren, and S. Linder (2001), Effects of nutrition and soil water availability on water use in a Norway spruce stand, Tree Physiol., 21, 851-860.
57. Phillips, N. G., R. Oren, J. Licata, and S. Linder (2004), Time series diagnosis of tree hydraulic characteristics, Tree Physiol., 24, 879-890.
58. Pielke, R. A., et al. (1992), A comprehensive meteorological modeling system - RAMS, Meteorol. Atmos. Phys., 49, 69-91.
59. Poggi, D., A. Porporato, L. Ridolfi, J. D. Albertson, and G. G. Katul (2004), The effect of vegetation density on canopy sub-layer turbulence, Boundary Layer Meteorol., 111, 565-587.
60. Prusinkiewicz, P., and A. Lindenmayer (1990), The Algorithmic Beauty of Plants (The Virtual Laboratory), 228 pp., Springer, New York.
61. Prusinkiewicz, P., M. Hammel, J. Hanan, and R. Mech (1997), Visual models of plant development, in Handbook of Formal Languages, vol. 3, edited by G. Rozenberg and A. Salomaa, pp. 535-597, Springer, New York.
62. Rayment, M. B., D. Loustau, and P. G. Jarvis (2000), Measuring and modeling conductances of black spruce at three organizational scales: Shoot, branch and canopy, Tree Physiol., 20, 713-723.
63. Ryan, M. G., B. J. Bond, B. E. Law, R. M. Hubbard, D. Woodruff, E. Cienciala, and J. Kucera (2000), Transpiration and whole-tree conductance in ponderosa pine trees of different heights, Oecologia, 124, 553-560.
64. Schäfer, K. V. R., R. Oren, and J. D. Tenhunen (2000), The effect of tree height on crown level stomatal conductance, Plant Cell Environ., 23, 365-375.
65. 2 concentration, Global Change Biol., 8, 895-911.
66. 2 atmosphere alters carbon assimilation and allocation in a pine forest ecosystem, Global Change Biol., 9, 1378-1400.
67. Schulte, P. J., and J. R. Brooks (2003), Branch junctions and the flow of water through xylem in Douglas-fir and ponderosa pine stems, J. Exp. Bot., 54, 1597-1605.
68. Schulte, P. J., and D. G. Costa (1996), A mathematical description of water flow through plant tissues, J. Theor. Biol., 180, 61-70.
69. Sellers, P. J., S. O. Los, C. J. Tucker, C. O. Justice, D. A. Dazlich, G. J. Collatz, and D. A. Randall (1996a), A revised land surface parameterization (SiB2) for atmospheric GCMs: 2. The generation of global fields of terrestrial biophysical parameters from satellite data, J. Clim., 9, 706-737.
70. Sellers, P. J., D. A. Randall, G. J. Collatz, J. A. Berry, C. B. Field, D. A. Dazlich, C. Zhang, G. D. Collelo, and L. Bounoua (1996b), A revised land surface parameterization (SiB2) for atmospheric GCMs: 1. Model formulation, J. Clim., 9, 676-705.
71. Siau, J. F. (1983), A proposed theory for non-isothermal unsteady state transport of moisture in wood, Wood Sci. Technol., 17, 75-77.
72. Sperry, J. S. (1986), Relationship of xylem embolism to xylem pressure potential, stomatal closure, and shoot morphology in the palm Rhapis excelsa, Plant Physiol., 80, 110-116.
73. Sperry, J. S. (2000), Hydraulic constraints on plant gas exchange, Agric. For. Meteorol., 104, 13-23.
74. Sperry, J. S., J. R. Donnelly, and M. T. Tyree (1988), A method for measuring hydraulic conductivity and embolism in xylem, Plant Cell Environ., 11, 35-40.
75. Sperry, J. S., K. L. Nichols, J. E. M. Sullivan, and S. E. Eastlack (1994), Xylem embolism in ring-porous, diffuse-porous, and coniferous trees of northern Utah and interior Alaska, Ecology, 75, 1736-1752.
76. Sperry, J. S., F. R. Adler, G. S. Campbell, and J. P. Comstock (1998), Limitation of plant water use by rhizosphere and xylem conductance: Results from a model, Plant Cell Environ., 21, 347-359.
77. Sperry, J. S., U. G. Hacke, R. Oren, and J. P. Comstock (2002), Water deficits and hydraulic limits to leaf water supply, Plant Cell Environ., 25, 251-263.
78. Sperry, J. S., V. Stiller, and U. G. Hacke (2003), Xylem hydraulics and the soil-plant-atmosphere continuum: Opportunities and unresolved issues, Agron. J., 95, 1362-1370.
79. Stenberg, P. (1995), Penumbra in within-shoot and between-shoot shading in conifers and its significance for photosynthesis, Ecol. Modell., 77, 215-231.
80. Szilard, A. L., and R. E. Quinton (1979), An interpretation for DOL systems by computer graphics, Sci. Terrapin, 4, 8-13.
81. Tanaka, S., and T. Sugimura (2001), A new frontier of remote sensing from IKONOS images, Int. J. Remote Sens., 22, 1-5.
82. Tyree, M. T. (2003), The ascent of water, Nature, 423, 923.
83. Tyree, M. T., and F. W. Ewers (1991), The hydraulic architecture of trees and other woody-plants, New Phytol., 119, 345-360.
84. Tyree, M. T., and J. S. Sperry (1989), Vulnerability of xylem to cavitation and embolism, Annu. Rev. Plant Physiol. Plant Mol. Biol., 40, 19-38.
85. Walko, R. L., et al. (2000), Coupled atmosphere-biophysics-hydrology models for environmental modeling, J. Appl. Meteorol., 39, 931-944.
86. Wood, E. F., D. P. Lettenmaier, and V. G. Zartarian (1992), A land-surface hydrology parameterization with subgrid variability for general-circulation models, J. Geophys. Res., 97, 2717-2728.
87. Zweifel, R., H. Item, and R. Häsler (2001), Link between diurnal stem radius changes and tree water relations, Tree Physiol., 21, 869-877.
88. Zweifel, R., J. P. Bohm, and R. Häsler (2002), Midday stomatal closure in Norway spruce: Reactions in the upper and lower crown, Tree Physiol., 22, 1125-1136.