ELSEVIER Agriculturaland Forest Meteorology 86 (1997) 17-31
AGRICULTURAL
AND
FOREST
METEOROLOGY
Aerodynamic conductances of trees in windbreaks
D. Mark Smith a,,, Paul G. Jarvis a, Julius C.W. Odongo b
a Insitute of Ecology and Resource Management, University of Edinburgh, Mayfield Road, Edinburgh EH9 3JU, UK
b ICRISAT Sahelian Centre, B.P. 12404, Niamey, Niger
Received 15 January 1996; revised 30 October 1996; accepted 11 November 1996
Abstract
A scheme for scaling leaf boundary layer conductances (gb) to tree crowns was developed for Azadirachta indica A.
Juss. trees in windbreaks in the Sahel. This scheme was derived from measurements of gb, made with heated leaf-replica
pairs mounted in the crowns of windbreak trees, and values of bulk aerodynamic conductances for whole trees (ga) in
windbreaks, which were determined from the rate of evaporation from two artificially wetted, excised trees, using the
hanging-tree technique.
Heated pairs of leaf replicas were constructed and tested in a wind tunnel before being deployed in the field. The effects
of wind speed (u) on gb in the wind tunnel agreed with expectations based on observations by others of the aerodynamic
properties of leaves. Similar responses to wind speed were found when the heated leaf-replica pairs were used in situ;
aggregated leaf boundary layer conductances (gbt), calculated by summing gb over the total leaf area of each tree as
conductances in parallel, were proportional to u z, where z varied between 0.5 and 0.8, the values expected for laminar and
turbulent boundary layers, respectively. In contrast, ga was proportional to u H and was much smaller than gbt, even if
effects of differences in leaf areas among trees were accounted for.
The differences between measured values of ga and gbt were used to derive an empirical model of gac, the conductance
for scalar transfer from the limits of the leaf boundary layers to the reference position outside the tree crown. This model can
be used to estimate gac from wind speed, so that g~ can be estimated by summing, as conductances in series, g~ and values
of gbt determined from in situ measurements of gb" Thus, at sites where trees are sparsely or non-homogeneously
distributed and the cutting of more than a few trees to measure g~ is not practicable, heated leaf-replica pairs and the
hanging-tree technique can be used together to develop a scheme for scaling gb to the whole tree. This approach should be
particularly useful in studies examining energy budgets in agroforestry, horticulture or other settings where trees are isolated
or do not form a closed canopy. © 1997 Elsevier Science B.V.
Keywords: Aerodynamic conductances; Leaf boundarylayer conductances; Windbreaks; Azadirachta indica A. Juss.
1. Introduction
Windbreaks are formed by long, thin lines of trees
that are taller than surrounding vegetation and planted
* Corresponding author now at: Institute of Hydrology, Crow-
marsh Gifford, WaUingford OXI0 8BB, UK.
across the prevailing wind direction. Windbreaks
thus form an abrupt change in surface roughness
with very little horizontal thickness in the direction
of the wind, so that equilibration between canopies
of windbreaks and the turbulent boundary layer does
not occur. Consequently, aerodynamic conductances
for windbreak canopies cannot be derived from one-
dimensional models in which a logarithmic wind
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