Agricultural Water Management, 8 (1984) 1--28
1
Elsevier Science Publishers B.V., Amsterdam -- Printed in The Netherlands MEASUREMENT
AND
AGRICULTURAL
J.B.
PREDICTION
OF
EVAPORATION
FROM
FORESTED
AND
CATCHMENTS
Stewart
Institute of Ht]drology, Crowmarsh Gifford, Wallingford, Oxon OXlO 8BB (Great Britain) ABSTRACT
The workshop on Land and Stream Salinity held in Perth, Western Australia in November 1980 recommended that remedies to the salinity problems of south-western Australia should be sought in the recharge areas, as opposed to the treatment of the saline discharge areas. In the climate of t h a t a r e a , v e g e t a t i o n c o u l d e v a p o r a t e a t much h i g h e r r a t e s t h a n o c c u r s a t p r e s e n t , e i t h e r from t h e a g r i c u l t u r a l c r o p s o r from t h e n a t i v e f o r e s t s ; i n t r o d u c t i o n o f such v e g e t a t i o n c o u l d t h e r e f o r e lower t h e w a t e r t a b l e and r e d u c e saline seepages. C a l c u l a t i o n s show t h a t t o a c h i e v e a s i g n i f i c a n t d e c r e a s e i n t h e h e i g h t o f t h e w a t e r t a b l e would r e q u i r e t h a t e i t h e r t h e r e p l a c e m e n t v e g e t a t i o n had a v e r y h i g h r a t e o f e v a p o r a t i o n o r a l a r g e p r o p o r t i o n o f t h e a g r i c u l t u r a l a r e a had t o be c o n v e r t e d t o t h e new v e g e t a t i o n . The major d i f f e r e n c e s i n m e t e o r o l o g i c a l and b i o l o g i c a l c h a r a c t e r i s t i c s between f o r e s t s and a g r i c u l t u r a l c r o p s a r e h i g h l i g h t e d . Methods o f m e a s u r i n g evaporation are briefly reviewed and compared. It i s e m p h a s i s e d that methods of measuring evaporation from large areas and over periods of years can only be used to determine the total evaporation. Whereas physically based methods used for smaller areas and shorter periods can measure the individual evaporation components and provide a sound basis for prediction of evaporation. It is concluded that the Monteith-Penman equation is most suitable for predicting the effects of changes in land use management. The necessary data collection and analysis for use with this equation are discussed.
INTRODUCTION
In by
t h e w h e a t b e l t of W e s t e r n
annual
agricultural
hydrological problem. as
the
perennial
crops
Australia
has
the
resulted
in
r e p l a c e m e n t of n a t i v e f o r e s t the
d e v e l o p m e n t of
a
major
It h a s b e e n o b s e r v e d o v e r t h e l a s t h a l f c e n t u r y t h a t ,
deep-rooted
native
vegetation
has
been
r e m o v e d a n d s h a l l o w - r o o t e d a n n u a l c r o p s g r o w n in i t s p l a c e ,
progressively the water table
h a s r i s e n a n d now h a s r e a c h e d t h e s u r f a c e in m a n y p l a c e s (Dimmock e t a l . , 1974;
Nulsen and Henschke,
shallow d e p r e s s i o n s ,
1981).
Also s a l i n e g r o u n d w a t e r h a s a p p e a r e d in
where high evaporation rates have rapidly generated the
f o r m a t i o n of s a l t p a n s .
With f u r t h e r
the
longer
land,
which
is
no
r i s e s in t h e w a t e r t a b l e t h e e x t e n t of
suitable
for
agriculture,
has
continued
to
i n c r e a s e a t t h e r a t e o f 7800 h a y r "1 s i n c e 1955 (Hillman, 1981). Since there this
area,
is no e v i d e n c e o f a c h a n g e in t h e i n p u t of p r e c i p i t a t i o n to
it is t h o u g h t
that
the
rise
in t h e w a t e r t a b l e is solely d u e to a
d e c r e a s e in e v a p o r a t i o n as a r e s u l t of t h e c h a n g e in v e g e t a t i o n . 0378-3774/84/$03.00
© 1984 Elsevier Science Publishers B.V.
Besides the
a g r i c u l t u r a l crops h a v i n g shallower roots than the n a t i v e v e g e t a t i o n , they are also annual r a t h e r of
the
r ai n y
than p e r e n n i a l species, and p a r t i c u l a r l y at the b e g i n n i n g
season
in
May,
there
is
i n u f f i ci en t
vegetation
to
prevent
considerable drainage to the water table. Further
ch a n g e s
in
the
occurring.
For some y e a r s
marginata),
has been u n d e r
leading to 'die b a c k ' .
remaining
areas of native v e g e t a t i o n are still
the predominant Eucalyptus species, J a r r a h attack from a f u n g u s
Phytophthora
(E_.
cinnamomi,
It has been estimated that 200,000 ha of J a r r a h f o r e s t s
h a v e already been a f f e c t e d (CSIRO,
1981).
bau x i t e mining which is continuing.
Also t h e r e has been open cast
The worked out areas are then r e p l a n t e d
with some species of n a t i v e a n d / o r exotic v e g e t a t i o n . To discuss a
Land
and
the salinity problems of the wheatbelt of Western Australia,
Stream
November 1980.
Salinity
Seminar and
Workshop
was
held
in the A u g u s t 1981 is s u e of A g r i c u l t u r a l Water Management. conclusions was
in
P er t h
in
The p a p e r s p r e s e n t e d at this Seminar have been p u b l i s h e d a 'general
endorsement
salinity problems in the r e c h a r g e areas
of the
One of the main
policy to seek solutions to
as opposed to the treatment of the
saline d i s c h a r g e a r e a s ' . T h e r e are a number of possible ways of c a r r y i n g out this recommendation with the object of lowering the water table in these a r e a s , o r p r e v e n t i n g the o c c u r r e n c e of saline s e e p s .
thereby reducing
Borehole pumping and artificial
d r a i n a g e are two of the possible e n g i n e e r i n g solutions, whereas i n c r e a s i n g the e v ap o r at i o n in t h e s e areas is a n o t h e r possible solution.
In this p a p e r only
the last solution will be c o n s i d e r e d in detail. Peck and Hurle (1973) have estimated the i n c r e a s e in annual r e c h a r g e r e s u l t i n g from the removal of the n a t i v e v e g e t a t i o n .
T h e y have found that on
a v e r a g e it is g e n e r a l l y small o of the o r d e r of 23 to 65 ram y r "1 r e l a t i v e to the annual rate of potential evaporation which is g r e a t e r than 1500 mm y r "1. Peck (1977) concluded from this that it was physically possible to p r e v e n t or e v e n reclaim d r y l a n d salinity in this region by a l t e r i n g the land management p r a c t i c e s so that the evaporation from the region is i n c r e a s e d . To a p p r e c i a t e the magnitude of the r e q u i r e d ch an g es in land u s e , it is u s e f u l to c a r r y out some calculations with estimated values of the e v a p o r a t i o n . These
calculations
can
show what
proportion
of the
c o n v e r t e d to v e g e t a t i o n with a h i g h e r evaporation r a t e , e v a p o r a t i o n from the
region
total area
has
to be
so that the a v e r a g e
is g r e a t enough to cause the lowering of the
w a t e r table t h a t is d e s i r e d . To p r e v e n t the w a t e r table r i s i n g any f u r t h e r the a v e r a g e e v a p o r a t i o n , E¢o, from the region must be equal to: E~
=
Ec + W
(1)
where E c = the evaporation from the existing crops, W = the depth of water which is generating the current rise in the water table.
X mm
If it is decided to try and lower the water table by an amount equal to -I yr , the average regional evaporation E N must be equal to: EN
=
Ec + W + X
(2)
where the subscript N refers to the n u m b e r of years it will take to lower the water table to the level it was Y years ago. N
=
N is given by:
YW/X
(3)
If portion A of the total area is r e p l a n t e d with vegetation h a v i n g a higher rate of evaportion Eh then E~ = AooEh + (1 - Aoo)Ec
(4)
EN
(5)
or =
ANE h + (I - AN)E c
Using Eqns. (i) and (2) given respectively: Am
=
W/(E h - E c)
(6)
AN
=
(W + X)/(E h - mc)
(7)
For these calculations, values of the rainfall, inflow to the water table and the crop evaporation were estimated from the data given by
Peck and
Hurle (1973), Hfllman (1981) and R.A. Nulsen (personal communication, 1981). It was assumed that the net inflow causing rises in the water table was proportional to the annual rainfall, and that runoff could be neglected. For Fig. i, an annual rainfall P of 450 m m , table W 405 m m
a net inflow to the water
of 45 m m yr -1 and an evaporation from the existing crops E of -I c was used. For Fig. 2, two sets of climatic data were used: P
yr
of 600 and 300 m m , respectively.
W of 60 and 30 m m
yr -1 and E c of 540 and 270 m m yr -I
Figure 1 shows the curve for the proportion of the total area
with enhanced
evaporation required to hold the water table at its present
level (N = 0o) and also the curves required to return the water table to its level of 60 years ago within 30, 15 and 7½ years. curves
over
Australia.
Figure 2 compares similar
the range of climates where wheat is grown
in south-western
In the left hand part of Fig. 2, the results are presented against
the absolute rate of evaporation from the replacement vegetation;
whereas in
the right hand part of Fig. 2, they are presented against the rate of evaporation from the replacement vegetation relative to the evaporation from the
ID
20001
C
1500
E
£
1000
uJ
=0
500
0 t~
-I c
0
20
40
60
80
100
Percentage of total area converted Fi 8. 1.
Proportion of total area to be converted to vegetation with a high evaporation rate, Eh, (i) to keep the water table at its present level (N = ~); (ii~ to restore it to its level of 60 years ago after N = 30, 15, 7~ years. Assumed conditions ~ annual rainfall 450 mm; evaporation from existing crops 405 mm yr ; recharge to groundwater 45 mm yr
2000
i/ I\
~x ,\
~/ \\\
1500
4
- - P = 300 mm - - P = 600 mm
h p = 300& 600 mm
J 3 o
£m
1ooo
t "\~
"'.
N=15yr ~5
2
.o_
;
50o
o
0
20
40
60
80
100
o
2'o
8'o
lOO
Percentage of total area converted to vegetation with higher evaporation, Eh F i 8 . 2.
Proportion of total area to be converted to vegetation with a high evaporation rate, Eh, (i) to keep the water table at its present level (N = ~); (ii~ to restore it to its level of 60 years ago after N = 15 years. Two sets of assumed conditions - annual r~infall 600 mm; evaporation from ~xisting crops, E C , 540 am yr ; recharge . to ground-water 600 mm yr- ; recharge to groundwater 60 mm yr- and ann~al rainfall 300 mm; evaporation fromlexisting crops, Ec, 270 mm yr ; recharge the groundwater 30 mm yr
existing
crops.
In
the l a t t e r p a r t of the f i g u r e ,
the r e s u l t s
for the two
climates are identical b e c a u s e the assumed value of W is p r o p o r t i o n a l to the rainfall. The o v er al l r e s u l t from t h e s e calculations is to show that e i t h e r the p r o portion of the area c o n v e r t e d to enhance the evaporation has to be l a r g e , or the rate of evaporation from the replacement v e g e t a t i o n has to be h i g h ; more than twice the e v a p o r a ti o n from the e x i s t i n g c r o p s , water table is to be significantly r e d u c e d .
i.e.,
if the level of the
To maintain t h ese high r at es of
evaporation will r e q u i r e e i t h e r i r r i g a t i o n or the p l a n t i n g of a species of v e g e tation which can d i r e c t l y take up water from the s a t u r a t e d soft zone. An es s en t i al p a r t of any i n v e s t i g a t i o n into u s i n g ch an g es in land management to r e d u c e the o c c u r r e n c e of saline s e e p a g e s , is to measure the evaporation of the new v e g e t a t i o n in comparison to the e x i s t i n g v e g e t a t i o n . The main p u r p o s e of this p a p e r is the g e n e r a l evaluation of methods of m eas u r i n g
evaporation in relation to this r e q u i r e m e n t .
evaluation
the
meteorological and
Preparatory
biological c h a r a c t e r i s t i c s
of
to this
evaporating
s u r f a c e s will be d e s c r i b e d , and the c o n s t r a s t s between f o r e s t s and a g r i c u l t u r a l crops high-lighted.
The evaporation components will be c o n s i d e r e d s e p a r a t e l y
and, u s i n g data for s o u t h - w e s t e r n Australia, an estimate of the r e l a t i v e importance of the v a r io u s components will be made.
The final p a r t of the p a p e r
will be a review of the c u r r e n t methods of m easu r i n g and p r e d i c t i n g e v a p o ration.
CHARACTERISTICS OF EVAPORATING SURFACES E v a p o r a t i n g s u r f a c e s can be s e p a r a t e d , categories;
i.e.,
f o r c o n v e n i e n c e , into f o u r main
tall and s h o r t v e g e t a t i o n , bare soil and open water.
The
emphasis in this Section will be on those s u r f a c e c h a r a c t e r i s t i c s which account for
the
main d i f f e r e n c e s in evaporation between f o r e s t s ,
a g r i c u l t u r a l crops
and bare soft.
Meteorological Characteristics Radiational e n e r g y balance The r a t e of evaporation d e p e n d s primarily on the i n p u t of e n e r g y . radiational
e n e r g y i n p u t is usually divided into two main components:
The the
s h o r t wave radiation r e c e i v e d from the sun and sky and the long wave r ad i ation from the E a r t h ' s atmosphere. reflected
portion
of
the
emitted from the s u r f a c e .
shortwave
T h e s e two components are o f f - s e t by the radiation
and
the
l o n g - w a v e radiation
On the local scale the i n p u t radiation is i n d e p e n -
d e n t of t h e u n d e r l y i n g
surface;
balance
by
are
shortwave
influenced
radiation depends
cent for most agricultural 15 a n d
60 p e r
(Monteith,
t u r e of r o u g h fore
the
of t h e s u r f a c e .
on t h e a l b e d o of t h e s u r f a c e , about
The reflected
b e i n g a b o u t 25 p e r
10 p e r c e n t f o r f o r e s t s ,
soil d e p e n d i n g
on organic content
and between and wetness
As s h o w n in t h e n e x t s e c t i o n t h e d a y t i m e s u r f a c e t e m p e r a -
vegetation
daytime
agricultural
characteristics
crops,
cent for bare
1973).
b u t t h e o u t g o i n g c o m p o n e n t s of t h e r a d i a t i o n
the
will b e l o w e r t h a n t h a t of s m o o t h e r s u r f a c e s ,
long-wave
crops.
emmission
will
be
less
from f o r e s t s
there-
than
from
T h e e m m i s s i o n of b o t h s h o r t a n d l o n g - w a v e r a d i a t i o n will
t h e n b e l e s s d u r i n g t h e d a y from f o r e s t s t h a n f r o m a g r i c u l t u r a l t h e r a d i a t i o n i n p u t to a f o r e s t is g r e a t e r
crops,
a n d so
than for smoother surfaces.
Surface roughness A f t e r t h e i n p u t of e n e r g y , of e v a p o r a t i o n
the most important factor governing
is t h e e f f i c i e n c y of r e m o v a l of w a t e r v a p o u r f r o m t h e s u r f a c e .
For a given wind speed and vapour water
vapour
depends
on
the
blowing over the roughness bare
soil t h e
much
greater;
extremes.
turbulence for
The
surface
conductance
be
estimated
(Monteith,
and using
1 =
ga
d
constant
= the and
calculations
ra
least, crops,
transfer ga or its a
whilst over
s e t off b y Over
rough
the turbulence height
reciprocal
forests
formula
based
on
it will b e
between
the
atmosphere,
the
aerodynamic
the
wind
will b e b e t w e e n t h e s e
in t h e f r e e the
the
relatively smooth
coefficient for water vapour
some r e f e r e n c e
U of
=
resistance
logarithmic
wind
{in(z-d)/Zo}2 k2U
zero plane, = wind the
(1968) r e l a t i o n s h i p s for
turbulence
t h e r a t e of r e m o v a l of
ra
profile
1965) :
--
where
gradient
atmospheric
agricultural
evaporating
pressure
e l e m e n t s of t h e s u r f a c e .
will b e
integrated
aerodynamic can
the rate
z°
speed
the
=
at
aerodynamic
the
(8)
roughness
length,
reference
l e v e l z.
resistance
and
of d a n d z ° to t h e h e i g h t ,
four typical surfaces.
These
calculations
k
= yon
Karman's
Table 1 presents
conductance
using
Cowan's
h , of t h e r o u g h n e s s
elements
s h o w t h a t t h e r a t e of t r a n s f e r
of w a t e r v a p o u r i n c r e a s e s r a p i d l y as t h e s u r f a c e r o u g h n e s s
increases.
Now t h e f l u x of w a t e r v a p o u r is g i v e n b y :
E = g a A Aq z where
(9)
Aq
is the
difference
difference
of Az.
Therefore
in
specific humidity
measured
over
a height
for a given evaporation rate, Aq/Az must be
small, for
if g a is l a r g e f o r a p a r t i c u l a r
surface,
a n a r e a w h o s e v a l u e of g a is small.
over
forests
are
smaller
than
those
meteorological
conditions.
must
t h a n t h a t of o t h e r
be
less
Similarly the temperature
over
Therefore
c o m p a r e d to t h e v a l u e of A q / a z
smoother
the
surfaces
surface
surfaces
during
gradients
under
temperature
t h e same
of
a forest
the daytime and greater
at
night.
Table 1. The aerodynamic resistance and conductance for a wind speed of 2 m s"1 above bare soil, above grass, above agricultural crop and above forest.
Soil Grass Crop Forest
h (m)
d (m)
zo (m)
0.01 0.1 1 10
0.006 0.064 0.64 6.4
0.0013 0.013 0.13 1.3
The greater to t h a t dence
either
e f f i c i e n c y of t r a n s f e r
from
shorter
of t h e e v a p o r a t i o n
case
of t r a n s p i r a t i o n
related
z-d (m)
ra (s m "l )
2 2 3 5
160 75 29 5
of w a t e r v a p o u r from f o r e s t s c o m p a r e d
vegetation
or from bare
soil a f f e c t s t h e d e p e n -
rate on meteorological and surface
from v e g e t a t i o n ,
the surface
factors.
resistance
Whilst
for
evaporation
from
bare
soil,
the
r e l a t e d to t h e l e n g t h of t h e d i f f u s i o n p a t h w a y t h r o u g h For
aerodynamically
evaporation
VPD
0.006 0.013 0.03 0.18
In the
r s is p r i m a r i l y
to l e a f a r e a a n d t h e b i o l o g i c a l l y c o n t r o l l e d o p e n i n g a n d c l o s i n g of t h e
stomata.
the
qa ( m s "l )
of t h e
radiation equation
rate
to
n can
the
be
surfaces
is p r i m a r i l y
air passing
R
rough
over
separated
controlled
the
surface.
surface
The
into
with by
than
side
term
is
t h e soil.
the vapour
rather
energy
resistance
small a e r o d y n a m i c
right-hand
an
surface
by
resistances
pressure the
input
deficit of n e t
of t h e M o n t e i t h - P e n m a n
and
aerodynamic
term
as
follows :
hE =
where
hE
AR n A + y(1 + r s / r a)
= the
pressure
curve
( 0 . 6 7 mb
°c-l),
constant
latent at
pressure.
aerodynamic
terms
annual temperature
the
(10) A + y(1 + r s / r a)
heat
flux,
mean
temperature,
p = the Table for
pep(VPD)/r a +
density 2 shows
typical
short
A = the of a i r , the and
slope
of t h e
saturated
¥ = the
psychrometric
Cp = t h e
specific heat
difference
between
tall v e g e t a t i o n ,
the
using
vapour constant
of a i r
energy the
at and
average
and relative humidity index for Perth and Merredin given
in
the
Vol. 13
of
average
annual
net
For
the short
World
Survey
radiation
vegetation
for
under
than
energy
6 per
cent.
Climatology
whereas
From Eqn.
10 it c a n
be
deficit
affected
by
itself
the
evaporation
depends
proportion
rather
of
strongly the
than heating
and
the
1975).
term contributes
seen
that
on t h e
net
net
radiation
the air,
the
of t h e s u r f a c e
on t h e r a t i o of n e t r a d i a t i o n to v a p o u r p r e s s u r e
pressure
1971), (Paltridge,
f o r t h e tall v e g e t a t i o n it c o n t r i b u t e s
to t h e a e r o d y n a m i c t e r m is i n d e p e n d e n t
depends
(Gentilli, Australia
these conditions the energy
41 p e r c e n t of t h e e v a p o r a t i o n , less
of
south-western
r a t i o of t h e
resistance
deficit.
The vapour
radiation;
which
but
but
is u s e d
is also
to p r o m o t e
a n d h e n c e is a f f e c t e d b y t h e a v a i l -
a b i l i t y of soft w a t e r .
Table 2. The relative dependence of transpiration from short and tall vegetation on the net radiation, Rn, and vapour pressure deficit, VPD.
Vegetation
Temp
Rn
(°C)
VPD
ra
(Wm "2) (rob)
Energy term
Aerodynamic term (Wm "2) (Wm "2)
rs
( s m "l) (sin "1)
Latent heat flux (Wm "2)
short
18
112
8.5
50
75
49.2
69.8
119.0
tall
18
112
8.5
5
150
• 6.6
94.1
100.7
of w a t e r
vapour
the
evaporating
The
efficiency
surface
also
of t r a n s f e r
determines
the
degree
c h a n g e s in t h e s u r f a c e r e s i s t a n c e .
away from
of r e s p o n s e
of t h e
The transpiration
evaporation
rate
to
f r o m tall v e g e t a t i o n w i t h
a small a e r o d y n a m i c r e s i s t a n c e is m o r e s e n s i t i v e to a c h a n g e in t h i s biologically. controlled Eqn.
10
changes same
resistance to
calculate
the
in the surface
the
In general,
surface
resistance
of i n c r e a s i n g
resistance
to f o r e s t s . tation
short
vegetation,
used
case
this
Using
dependence
a n d tall v e g e t a t i o n . table
as f o r
the
on The
previous
(Monteith,
1981) so t h i s t a b l e s h o w s t h e e f f e c t
from 75 to 150 s m -1 w h i c h is m o r e a p p r o p r i a t e
calculations show that the transpiration
twice as s e n s i t i v e to a c h a n g e in s u r f a c e vegetation.
This
reduced
sensitivity,
from t h e tall v e g e resistance
in t h e
case
as t h a t of s h o r t
is c a u s e d b y t h e i n i t i a l l a r g e r e d u c t i o n in e v a p o r a t i o n b e i n g o f f s e t
by an increase the
in
vegetation. this
a r a b l e c r o p s w i t h a g o o d s u p p l y of soil w a t e r h a v e a l o w e r
in s u r f a c e
temperature
a n d h e n c e a n i n c r e a s e in t h e g r a d i e n t
of a t m o s p h e r i c h u m i d i t y d e f i c i t b e t w e e n In
short shows
as well as from 150 to 300 s m - 1 , w h i c h is m o r e a p p r o p r i a t e
These
is n e a r l y the
from
Table 3
for typical short
were
than forests
this resistance
to a r a b l e c r o p s ,
transpiration
evaporation,
clAmatological c o n d i t i o n s
table.
from
than
of a f o r e s t
the increase
t h e i n s i d e a n d o u t s i d e of t h e l e a v e s .
in s e n s i b l e h e a t f l u x to c o m p e n s a t e f o r
t h e r e d u c t i o n in e v a p o r a t i o n can be s e t up b y o n l y a v e r y small i n c r e a s e in s u r f a c e t e m p e r a t u r e a n d h e n c e a v e r y small i n c r e a s e in t h e g r a d i e n t of atmospheric deficit. For
the
same
reason
trees
can
reduce
their
evaporation
rate
by
i n c r e a s i n g t h e i r s u r f a c e r e s i s t a n c e w i t h o u t i n c u r r i n g t h e p e n a l t y of v e r y h i g h surface temperatures,
as can o c c u r with low v e g e t a t i o n u n d e r h i g h r a d i a t i o n ,
low e v a p o r a t i o n , c o n d i t i o n s .
Table 3. The effect of changes in the surface resistance on the evaporation from short and from tall vegetation.
Vegetation
Aerodynamic resistance (s m "1 )
Surface resistance (s m "1)
50 50 50
75 150 300 75 150 300
short
tall
5
5 5
Another atmosphere
result
is t h a t
atmospheric
of t h e h i g h understorey
humidity
rate
Latent heat flux (W m "2 )
Percentage reduction
119 89 59 185 101 53
of e x c h a n g e
25 34 45 47
between
forests
and
the
is likely to be e x p o s e d to air h a v i n g similar
d e f i c i t s to t h o s e
that the tree crowns experience,
and
h e n c e can make a s i g n i f i c a n t c o n t r i b u t i o n to t h e total e v a p o r a t i o n ( R o b e r t s et al.,
1980).
generated
Therefore primarily
i n p u t of e n e r g y .
evaporation
by
from this
the atmospheric
understorey
humidity
vegetation
deficit rather
will be
t h a n b y the
As an e x a m p l e , c o n s i d e r t y p i c a l s u n n y c o n d i t i o n s in summer
in T h e t f o r d F o r e s t ,
U.K.
U s i n g d a t a f o r 1300 to 1400 on 10 J u n e 1976, n e t
r a d i a t i o n was 368 W m -2 a n d a t m o s p h e r i c h u m i d i t y deficit a b o v e t h e f o r e s t was 8.2 g k g -1.
T h e a v e r a g e n e t r a d i a t i o n a b o v e the u n d e r s t o r e y
been
to
found
estimated ground
below
be
13 p e r
canopy
cent
net
of
that
radiation
above
the
was 48 W m -2.
forest
of b r a c k e n has canopy,
so t h e
At 1.25 m a b o v e t h e
the measured
a t m o s p h e r i c h u m i d i t y d e f i c i t was 8.6 g k g -1, w h e r e a s -2 f o r a r a d i a t i o n l e v e l of 48 W in t h e e x p e c t e d v a l u e would h a v e b e e n a b o u t 1 g k g -1. ration
from
Therefore, the
e v e n with a l a r g e a e r o d y n a m i c r e s i s t a n c e
bracken
is
dominated
rather than by the net radiation.
by
the
atmospheric
the e v a p o -
humidity
deficit
10
Biological C h a r a c t e r i s t i c s
Agricultural
crops
logically
simpler
majority
of c a s e s .
their
life
than for
cover
the
ground
cover
Pruitt,
1977). forests
forests, grass
rainfall
and
either
latitudes
or
native
are
evaporation
During
the first
from
generally
10 to
they
stage
80 p e r
are
and
are
due
decreases
to i n s u f f i c i e n t
and
The the
becomes
canopy
harsher.
comes from
in
as
Even
exotic
progressively much
of
in a r e a s of h i g h
environment
closure
the and
T h e m a j o r i t y of
becomes
to low t e m p e r a t u r e s
forests
the understorey
the
canopy
becomes In o p e n
growth
often have an understorey
rainfall or
variation
they
(Doorenbos
multi-storied.
to b e m o n o c u l t u r e s and
growing
of t h e i r cent
much more complex.
species
radiation,
altitudes.
forests,
environment
during
time
T h e c o m p l e x i t y of n a t i v e f o r e s t s is g r e a t e s t
high
harsher,
c o v e r of a n n u a l c r o p s v a r i e s of
the
shallow
bio-
the ground
numerous
which are intended
or ferns.
therefore
two
thirds
are
are
in t h e
typically
forests
They
and
rooting
ground.
have
monocultures
vegetation.
about
increases
In contrast native
generally
Though
span,
completely
are mixed
is
in h i g h
very
more
of t h e
great
open water
as
in the
lost by
a n d from t h e s o i l - l i t t e r l a y e r w h e n -
e v e r i t is w e t .
COMPONENTS OF THE EVAPORATION FROM VEGETATION Before considering the processes controlling evaporation it is useful to divide the evaporation into its three components as follows. E v a p o r a t i o n of I n t e r c e p t e d Whenever there branches occur.
of t h e
Precipitation
is w a t e r p r e s e n t
vegetation
Commonly t h e m o s t f r e q u e n t
w e t t i n g of t h e s u r f a c e s
on the surface
direct evaporation
can
s o u r c e of t h i s w a t e r is p r e c i p i t a t i o n ,
but
c a n also o c c u r as t h e
interception
of m i s t o r c l o u d d r o p l e t s .
surface
of
vegetation
physical
process
period
has
precipitation assumed
The
soil
and the
that
been
reaching
rather
involves
sum of t h e
of i n t e r c e p t e d
than fewer
soil
throughfall
precipitation
beneath factors
precipitation
measured the
r e s u l t of c o n d e n s a t i o n of dew o r
Since the evaporating
total intercepted
most frequently
to b e
evaporation
and/or
of e v a p o r a t i o n
soil e v a p o r a t i o n .
of t h e l e a v e s , s t e m s o r
a n d o n t h e soil o r l i t t e r ,
as
the
(which and
during
w a t e r is o n t h e
the
than
the or
over a storm or longer
difference in
surface,
transpiration
the
stemflow).
between
case
of
gross
forests
To m e a s u r e
individual rainstorms
is the
is m u c h
11 more difficult, b e c a u s e the wet conditions cause i n c r e a s e d i n s t r u m e n t a l e r r o r s and the r a t e s of evaporation u n d e r the cloudy conditions are low. Detailed studies of evaporation of i n t e r c e p t e d p r e c i p i t a t i o n from f o r e s t s in
the
UK have
shown
the
following.
Firstly,
on
average
the
rate
of
e v ap o rat i o n ex ce e d s that which could be s u p p o r t e d by the i n p u t of radiational e n e r g y alone ( S t e w a r t , 1977); were
considerably
Stewart,
1975).
whereas the rates of t r a n s p i r a t i o n from f o r e s t s
smaller than
the
input
of radiational e n e r g y
(Gash and
The additional e n e r g y is primarily supplied by a downward
flux of sensible h e a t,
since the e v a p o r a t i n g su r f ace is at a lower t e m p e r a t u r e
than
over
the
sensible Secondly,
air heat
passing has
been
the f o r e s t .
found
to be
On occasions, maintained
a downward flux of
for many
hours
on
end.
it has been found that the total i n t e r c e p t i o n a v e r a g e d o v e r many
rainstorms can be divided into r o u g h l y equal components ° from storms which do not s a t u r a t e the canopy, from the s a t u r a t e d canopy while rain is falling, and from the s a t u r a t e d canopy a f t e r rainfall has ceased (Gash, 1979). The rate of evaporation of i n t e r c e p t e d rainfall from a s a t u r a t e d canopy primarily
d ep en d s
on
the
aerodynamic c o n d u ct an ce and on the atmospheric
humidity close to the s u r f a c e .
The atmospheric humidity deficit is determined
by the i n t e r a c t i o n between the evaporation from the su r f ace and the t em p er a t u r e and humidity of the air p a s s i n g o v e r it.
For example, e n h a n c e d evapo-
ration due to an i n c r e a s e in wind speed o v e r the s u r f a c e ,
and a c o n s e q u e n t
i n c r e a s e in the aerodynamic c o n d u c t a n c e , will be rapidly o f f s e t by a r ed u ct i o n in the atmospheric humidity deficit as the enhanced evaporation r e s u l t s in a f u r t h e r r ed u ct i o n in the s u r f a c e t e m p e r a t u r e ( S t e w a r t , 1978). For v e g e t a t e d s u r f a c e s with smaller aerodynamic r o u g h n e s s than f o r e s t s , the r at es of evaporation of i n t e r c e p t e d p r e ci p i t at i o n will be lower in relation to the i n p u t of radiational e n e r g y and more similar to t h e i r r a t e s of t r a n s piration u n d e r the same levels of radiation in p u t ( S t e w a r t ,
1978).
Transpiration In p l a n t s , along
a
w a t e r p a s s e s from the soil to the air s u r r o u n d i n g the leaves
gradient
encountered.
of
water
potential,
the p r e s e n c e of p o r e s , the atmosphere.
still has air.
several
resistances
are
At the final stage of the liquid water pathway, water v a p o r i z e s
off the mesophyll cell walls and p a s s e s into
along which through
the r e s i s t a n c e s imposed by
the stomata, which r e s t r i c t the flow of water v a p o u r After passing through
the stomata the w at er v a p o u r
to overcome the aerodynamic r e s i s t a n c e in its p a s s a g e t h r o u g h the
A small amount of w a t e r v a p o u r can pass directly t h r o u g h the leaf wall,
the cuticle, b u t the q u a n t i t i e s are g e n e r a l l y r e g a r d e d as small ( e . g . , 1972), the c u t i c u l a r r e s i s t a n c e b e i n g v e r y l a r g e (Monteith, 1981).
Rutter,
12 The o p en i n g and closing of the stomata o c c u r s in r e s p o n s e to a number of
en v i ro n m en t al
v a r i a b le s
-
the
most important
being
light,
atmospheric
humidity deficit, soil mositure deficit and carbon dioxide c o n c e n t r a t i o n .
The
e x a c t mechanism of this r e s p o n s e is as y e t poorly u n d e r s t o o d and q u an t i f i ed . The minimum stomatal r e s i s t a n c e seems to depend on age and position of the leaves ( h e i g h t in the canopy,
s u n n y or s h a ded ) among o t h e r f act o r s ( J a r v i s ,
1976). Evaporation from Soil Evaporation from bare and soil f a c t o r s .
soil depends
on a combintation of meteorological
The e v a p o r a t io n d u r i n g the period immediately a f t e r rainfall
or i r r i g a t i o n o c c u r s at close to the potential rate
(ASCE, 1973).
A f t e r an
e v a p o r a t i v e loss of about 12 mm from sandy soils or 20 mm from h e a v i e r soils, the h y d r a u l i c c o n d u c t i v i t y of the soil s u r f a c e falls r a p i d l y , cau si n g a marked re d u ct i o n
in
its
evaporation
rate
(Winter,
1974).
Measurements
of
soil
moisture depletion b e n e a th
fields in C e n tr a l India a f t e r h a r v e s t i n g of wheat
and
that
other
crops
0.5 ram d -1
or
showed
le s s ,
when
the
the
evaporation
potential
from
ev ap o r at i o n
t h ese
dry
soils was
was
about
6 m m d -1
(Wallace et al. 1981). EVAPORATION FROM THE NATIVE FOREST AND WHEATLANDS OF SOUTHWESTERN AUSTRALIA To obtain components e v ap o rat i o n probably a r ea,
a better
feel for
transpiration,
the
relative
contributions
from n a t i v e f o r e s t and wheatlands,
worthwhile.
some v e r y
of the v a r i o u s
i n t e r c e p t i o n and soil evaporation to -
the total
even c r u d e calculations are
Given the s c a r c i t y of detailed measurements
gross
assumptions
had to be made;
for this
in p a r t i c u l a r it was
assumed that t h e r e was no r u n o f f from the area. For
the
wheatlands,
it was assumed that the t r a n s p i r a t i o n
E c can be
calculated from the Penman potential evaporation modified by the crop f act o r s k
g i v e n by Dor r e n b o s and P r u i t t (1977). It was assumed that the growth of c the wheat crop o c c u r r e d in the following s t a g e s : - initial s t a g e , 15-30 May; crop
development
S ep t em b er
and
stage,
late
1 June-10
season
stage,
July;
mid- season
21 September-31
stage,
October.
11 Ju l y - 2 0 During
the
period when the area was fallow the soil e v ap o r at i o n E s was also calculated from the potential e v a p o r a ti o n u s i n g soil factors k s which d e p e n d on the rate of potential ev a p o r a t io n and the f r e q u e n c y of significant r ai n , Doorenbos and P r u i t t
(1977).
as g i v e n by
D u r i n g periods of high p o t en t i al evaporation
and low rainfall, all the rainfall falling on the soft was assumed to e v a p o r a t e .
13
The
e f f e c t of i n t e r c e p t i o n
of r a i n f a l l
by
the
w h e a t is a s s u m e d to b e i n c o r -
porated into the crop factors. For the forest
a r e a it was a s s u m e d
c a n o p y was 50 p e r c e n t of t h e g r o u n d and
evaporates
evaporation
area,
that the forest canopy intercepts
20 p e r c e n t of t h e a n n u a l r a i n f a l l f a l l i n g o n it a n d t h a t soil
occurs
from
from t h e u n c o v e r e d from the forest
50 p e r
cent
of t h e
ground
area.
a r e a was d e t e r m i n e d as p r e v i o u s l y
are no crop factors
ration terms
t h a t t h e p r o j e c t e d a r e a of t h e f o r e s t
a v a i l a b l e from t h e l i t e r a t u r e
was t a k e n as t h e d i f f e r e n c e
(intercepted
The evaporation
described.
for forests,
Since there
the transpiration
b e t w e e n t h e sum of o t h e r e v a p o -
r a i n f a l l a n d soil e v a p o r a t i o n )
a n d t h e local p r e c i p i -
tation. According
to
Hlllman
(1981)
clearing
of
native
forests
for
farming
c o m m e n c e d in t h e 500 to 600 mm r a i n f a l l r e g i o n a n d d e v e l o p e d e a s t w a r d s i n t o the lower rainfall regions. two a r e a s
So t h e f o l l o w i n g c a l c u l a t i o n s w e r e c a r r i e d o u t f o r
- o n e w i t h a n a n n u a l r a i n f a l l of 600 mm a n d t h e o t h e r w i t h 300 ram.
Table 4 presents
t h e main c l i m a t o l o g i c a l d a t a u s e d f o r t h e c a l c u l a t i o n s .
monthly
distribution
o~sed
rainfall on
the
rainfall data
and for
frequency
Perth
of
significant
and Merredin.
The
rainfall
Penman
The were
potential
e v a p o r a t i o n was c a l c u l a t e d u s i n g m o n t h l y c l i m a t o l o g i c a l d a t a f o r P e r t h ( G e n t i l l i , 1971).
M~,uthly
wind
runs
for Merredin
calculations could not be carried out. evaporation
were
not
available
so t h e
Penman
H o w e v e r i t is t h o u g h t t h a t t h e P e n m a n
f o r M e r r e d i n s h o u l d b e s i m i l a r to t h a t of P e r t h ,
because the lower
wind speeds inland should compensate for the larger vapour pressure
deficits.
Table 4. Climatological data used for calculations of the evaporation components. Month
January February March April May June July August September October November December Annual
Penman ET (mm) 254 220 198 132 87 63 65 81 108 155 198 236 1799
High rainfall area Amount Frequency* (mm) (days) 7 12 19 37 84 120 118 89 46 36 19 13 600
* Mean interval between rainfalls.
>30 >30 30 20 8 3 3 4 8 20 30 >30
Low rainfall area Amount Frequency* (mm) (days) 7 12 16 20 40 47 52 40 21 18 16 11 300
>30 >30 >30 >30 16 6 6 8 16 >30 >30 >30
14
In
both
areas
it
was
assumed
that
the
net
b e n e a t h n a t i v e f o r e s t s was z e r o o v e r t h e y e a r . communication,
1981)
has
found
that
recharge
to g r o u n d w a t e r
While R . A . N u l s e n ( p e r s o n a l
the
d i f f e r e n c e in e v a p o r a t i o n °1 u n c l e a r e d a n d c l e a r e d a r e a s to b e of t h e o r d e r of 20 to 100 mm y r
between
Table 5. Calculated monthly and annual evaporation components (mm) for areas with an annual rainfall of 600 mm with native forests or wheat/fallow land usage. Forested area* soil evap. ks Es
Month
January February March April May June July August September October November December
Cropped area soil evap. ks
3 6 14 17 26 26 29 24 19 16 15 7
.15 .25 .06 .09 .09 .06 .35 .02 .15
crop evap. kc Ec
Es 7 12 19 34 26 0 0 0 0 0 19 13
.25 .06 n/a n/a n/a n/a n/a
0 0 0 0 26 52 73 93 120 90 0 0
.06 .82 1.12 1.15 1.11 .58
Annual totals Rainfall Soil evaporation Forest interception Forest transpiration Crop evaporation Total evaporation Drainage
600 204 60 336
600 130 454 584 16
600 0
50 per cent forest, 50 per cent bare soil.
The
results
show that
of t h e s e
calculations
are
given
here,
interception
insignificant. low
The
particularly
equation
(36)
transpiration 1973).
In
240 s m -1
in the
of
rainfall
by
estimated transpiration the
drier
6.
They
average
area.
surface
By
On t h e b a s i s of t h e a s s u m p t i o n s
these
sparse
from t h e
rearranging
resistance
can
native
forests
f o r e s t was f o u n d
be
the
was to b e
Monteith°Penman
calculated
when
the
a n d t h e climatological c o n d i t i o n s a r e k n o w n ( S t e w a r t a n d Thorn,
the and
wetter area for
the
consequent
this
drier
values appear very large, the
5 and
t h e e v a p o r a t i o n from b a r e soil was an i m p o r t a n t c o m p o n e n t of t h e
total evaporation, c o n t r i b u t i n g about a t h i r d . used
in T a b l e s
calculation
area
about
gave
an a v e r a g e
1200 s m -1.
At f i r s t
but remembering the sparseness
low leaf a r e a
index,
v a l u e of a b o u t sight
these
of t h e f o r e s t a n d
t h e s e v a l u e s do n o t imply e x c e p t i o n a l l y
h i g h v a l u e s of s t o m a t a l r e s i s t a n c e ( E q n .
(33)).
15
T h e e s t i m a t e s of t r a n s p i r a t i o n on the only
use
of p u b l i s h e d
crop
10 p e r
greater
about
drainage the
cent
in t h e w h e a t c r o p in t h e w e t t e r a r e a b a s e d
factors
with Penman potential evaporation
than
those
needed
to
give
the
( a s s u m i n g t h e e s t i m a t e s of soil e v a p o r a t i o n a r e c o r r e c t ) .
drier
area
twice
the
would
have
the
expected to b e
estimates
of t r a n s p i r a t i o n
values. less
than
To half
rectify the
from
this
values
the
are
expected
H o w e v e r in
wheat are more than
discrepancy
the
crop
factors
given by Doorenbos and Pruitt
(1977).
Table 6. Calculated monthly and annual evaporation components (mm) for areas with annual rainfall of 300 mm with native forest or wheat/fallow land usage. Forested area* soil evap. ks Es
Month
January February March April May June July August September October November Annual totals
Cropped area soil evap. ks
3 6 8 10 15 20 21 18 16 9 8
.35 .65 .65 .45 .03
Rainfall Soil evaporation Forest interception Forest transpiration Crop evaporation Total evaporation Drainage
crop evap. Es
kc
7 12 16 20 15 0 0 0 0 0 11
.35 n/a n/a n/a n/a n/a
Ec
.35 .66 1.12 1.15 1.11 .58
300 139 30 131
0 0 0 0 15 41 73 93 120 90 0
300 97 432 529 -229
300 0
* 50 per cent forest, 50 per cent bare soil.
METHODS OF MEASURING EVAPORATION Only here.
a brief
and Burtsaert the
summary
More e x t e n s i v e individual
limitations.
(1982). methods
of t h e m e t h o d s
reviews
have
Later papers in
more
been
currently prepared
presented
detail
a v a i l a b l e will b e g i v e n by Shuttleworth
(1979a)
a t t h e W o r k s h o p will d e s c r i b e
emphasising
their
advantages
and
16
Micrometeorological Methods
Aerodynamic technique Using
the
relationship
between
vertical humidity gradient, E
=
to
of
water
vapour
E and
the mean
(11) transfer
c o e f f i c i e n t f o r w a t e r v a p o u r a n d is u s u a l l y
to t h a t f o r m o m e n t u m Kin, w h i c h c a n b e d e r i v e d from m e a s u r e m e n t s
the mean vertical one
flux
-pK v 0 q / 0 z
w h e r e K v is t h e t u r b u l e n t related
the
~q/Sz
one
gradients
relationship
of w i n d s p e e d .
between
the
To allow f o r d e p a r t u r e s
two t r a n s f e r
coefficients,
f a c t o r ¢ v r e l a t e d to a t m o s p h e r i c s t a b i l i t y is i n t r o d u c e d ,
an
of
from a empirical
i.e.,
E = - PKm ~ ~v
(12)
E q u a t i o n (12) c a n also b e e x p r e s s e d
in t e r m s of r e s i s t a n c e s
C
E
p p - ~ {ew(Ts) - e } / ( r s + r a)
=
where ew(T s) = the saturated and e = vapour pressure
vapour pressure
at the surface temperature
T s,
of t h e a i r a t t h e r e f e r e n c e l e v e l z.
Energy budget T h e l a t e n t h e a t f l u x c a n b e o b t a i n e d from m e a s u r e m e n t s of t h e e n e r g y of t h e s u r f a c e , R
-
t h e o n e - d i m e n s i o n a l form of t h e e q u a t i o n hE
-
H
-
G -
S
-
P
=
budget
is:-
0
(14)
n
where H = sensible heat flux,
G = soil h e a t f l u x ,
in the air and the biomass between and
P = energy
with
the other
fully.
absorbed terms,
for photosynthesis.
certainly
S = c h a n g e in e n e r g y
t h e l e v e l s of m e a s u r e m e n t
over
a day,
stored
of G a n d R n ,
S a n d P a r e small c o m p a r e d and can be estimated success-
G is small ( a few p e r c e n t of R n ) u n d e r
a d e n s e c o v e r of v e g e t a t i o n
b u t c a n b e l a r g e o n a n h o u r l y b a s i s f o r b a r e soil, t h o u g h t h e n e t v a l u e of G over
24 h o u r s
is n e g l i g i b l e .
It can be measured
its importance.
For vegetated
R
into the sensible and latent heat fluxes.
n flux
is c o n v e r t e d can
be measured
technique i.e.,
directly
surfaces
or estimated depending
by
the
m o s t of t h e a b s o r b e d aerodynamic
or
radiant
on
energy
The sensible heat the
eddy
correlation
17
AE
=
R
-
H
-
G
-
S
-
(15)
P
n
30 H
=
pCp Km 3zz CH
(16)
or
H
=
- pcp(T s - T ) / r a
(17)
or
H
=
- pCp w'T'
(18)
with
where
30/3z=
mean
vertical
potential-temperature
factor relating the turbulent Ts
= surface
temperatue,
f l u c t u a t i o n of t e m p e r a t u r e Alternatively flux
to t h e
difference
heat
= temperature
H
and
temperature
at
can
height,
and
w' =
be obtained by measuring
C
_
p h
~_00
(19)
Aq
l a t e n t h e a t of v a p o u r i s a t i o n
R
the vertical
A0 a n d t h a t of s p e c i f i c h u m i d i t y Aq o v e r
of w a t e r E, c a n b e u s e d to a p p o r t i o n
a v a i l a b l e e n e r g y i n t o t h e two m a j o r c o m p o n e n t s ,
=
reference
i.e.,
hE
hE
OH = e m p i r i c a l
about its mean value. flux
in p o t e n t i a l
_
T
gradient,
c o e f f i c i e n t f o r h e a t to t h a t of m o m e n t u m ,
t h e B o w e n r a t i o 13, w h i c h is t h e r a t i o of t h e s e n s i b l e h e a t
latent
t h e same h e i g h t r a n g e ,
where
transfer
the
giving:
- G - S - P
n
(20)
1+~
Eddy correlation technique By mean
making
values
frequency
of
measurements
of
vertical
speed
to o b t a i n
the
wind
the
contributions
instantaneous w',
and
of
f r o m all t h e
fluctuations humidity
q'
about at
their
sufficient
s i g n i f i c a n t s i z e s of e d d y
a n d s u m m i n g t h e i r p r o d u c t o v e r a p e r i o d of h a l f a n h o u r o r m o r e , t h e f l u x of water vapour can be obtained from: E
=
-pw'q'
(21)
Water Balance Methods T h e w a t e r b a l a n c e of a n a r e a is g i v e n b y : P=Q+E+AS+D
(22)
18
where
P = precipitation,
content
of t h e soil,
size
the
of
area
Q = runoff,
E = evaporation,
AS = c h a n g e
a n d D = t h e d r a i n a g e to g r o u n d w a t e r .
and
the
time s c a l e o v e r
which
in w a t e r
Depending on the
the balance
is
determined
d i f f e r e n t m e t h o d s of m e a s u r i n g o r e s t i m a t i n g t h e c o m p o n e n t s c a n b e e m p l o y e d . W a t e r b a l a n c e of c a t c h m e n t a r e a For a catchment area, same
(usually
capacity')
times
at
b e t w e e n t i m e s w h e n t h e soil m o i s t u r e d e f i c i t is t h e
which
the
soil
profile
is
assumed
to
be
at
'field
t h e e v a p o r a t i o n is g i v e n b y : E
=
P
-
Q - D
(23)
and for a water-tight catchment this further reduces to E
=
P
-
Q
(24)
These calculations are usually only applicable to periods of one or more years.
For
shorter periods
the changes
in soil moisture storage become
important and have to be measured, usually using a neutron probe.
So again
for a water-tight catchment, E
=
P
-
Q - AS
(25)
Using these equations the total evaporation, i.e., the sum of the interception,
transpiration
and
soil evaporation,
is measured.
However
during
long dry periods Eqn. (20) reduces to: E = - Q - AS when
the measured
(26)
evaporation is then
evaporation components only. drainage
the sum
of transpiration and soil
In flat areas, where there is no runoff and the
to groundwater can be estimated or assumed negligible, over dry
periods, E=-AS Zero flux plane method In areas where measured
if the
drainage is not negligible the evaporation can still be
depth
of
the
zero
flux plane z z can
be
obtained from
measurements of the soil tension profile (Giesel et al., 1970), then the evaporation can be obtained from measurements of changes in soil moisture content between z z and the surface s i.e.,
19
Z
E
=
f s z - A.q dz
(28)
Lysimeters On
a much
smaller
scale,
a lysimeter
can be constructed
t h e c o m p o n e n t s of t h e w a t e r b a l a n c e c a n b e m e a s u r e d In the simplest version deficit
is
allowed
neglected,
- t h e d r a i n a g e l y s i m e t e r - no s i g n i f i c a n t soft m o i s t u r e
build
up
so
changes
in soil m o i s t u r e
content
can be
then E
where
to
f o r w h i c h all
with comparative ease.
=
P + I - D
(29)
I is the irrigation required to maintian a m i n i m u m soil moisture deficit.
For the most sophisticated systems,
the lysimeter is intermittently or contin-
uously weighed, then E
=
P
-
M - D
(30)
where M = change in mass of the lysimeter. The
most
sensitive lysimeters can measure
the evaporation over periods
as short as an hour, so that periods of evaporation of intercepted rainfall can be separated from periods of transpiration and soil evaporation.
Cut tree method The
evaporation
obtained amount
from i n d i v i d u a l
by cutting the trunk of w a t e r
which the trunk Ew
Wt r e q u i r e d sits,
under
trees
under
water (Roberts,
to m a i n t a i n
rainless conditions can be 1977) a n d m e a s u r i n g
then
(31)
= Wt
T h e cut tree generally experiences less resistance to water-uptake the uncut
the
a f i x e d w a t e r l e v e l in t h e t a n k in
than
trees, because any root resistance has been eliminated and so its
transpiration m a y be greater than soil-rooted trees.
Penman-Monteith Equation This equations at
the
equation (Eqns.
surface
e q u a t i o n is :
by
13, or
combining
14 a n d at
the
aerodynamic
flux
and
energy
budget
17), e l i m i n a t e s t h e n e e d f o r m e a s u r e m e n t s
several
heights
above
the
surface.
The
either
resulting
20
P) + pclo{ew(T ) - e } / r a
A(Rn - G - S KE
where
=
ew(T)
(32)
A + ~'(1 + r s / r a
= the
saturated
vapour
pressure
at
can
be measured
the
temperature
of
the
air, T. The
aerodynamic
or obtained
from m e a s u r e m e n t s
the literature. vegetation this
The
or
surface
can
directly using Eqn.
of t h e w i n d p r o f i l e o v e r t h e s u r f a c e
resistance
.off a r e w e t d u r i n g
resistance
Eqn.
resistance
be obtained
o r from
is z e r o w h e n all t h e s u r f a c e s
and shortly by
direct
after rainfall.
measurements
(35), of t h e
At other
using Eqn.
times
(33) o r
( 3 6 ) o r from t h e l i t e r a t u r e .
Sap Flow M e t h o d s Sap flow m e a s u r e m e n t s All t h e w a t e r t h a t is t r a n s p i r e d sap
flow.
A number
m o v e m e n t of t h e for
a pulse
separated Roberts,
of
sap.
The
of e i t h e r
points
the
have
been
developed
methods involve measurements
heat
on
from a t r e e h a s to p a s s u p t h e t r u n k
techniques or
radio-activity
tree
trunk
to p a s s
(Lassoie
et
to
measure
of t h e time t a k e n
between al.,
as this
two v e r t i c a l l y
1977;
Waring
and
1979).
Dendrometer measurements Another trunk
variation
diameter
measurements calibrated
by
on this
obtained into
those
measurements
method (Wronski,
by
technique a
of
is
dendrometer. transpiration,
to m e a s u r e
diurnal
To
convert
they
have
of s a p flow o r t r a n s p i r a t i o n
the to
be
variation
in
dendrometer previously
m a d e b y some o t h e r
1980).
Chamber Methods Porometry A small c h a m b e r is c l a m p e d o v e r a leaf o r a g r o u p of l e a v e s a n d t h e r a t e of flow of w a t e r from t h e p l a n t m a t e r i a l is m e a s u r e d . the resistance
p e r u n i t l e a f a r e a to t h e flow of w a t e r v a p o u r from t h e i n s i d e
of t h e l e a f to t h e a t m o s p h e r e , made the assumption be considered from :
By suitable calibration
the stomatal resistance
that the stomatal resistances
as a c t i n g in p a r a l l e l ,
r S T is o b t a i n e d .
Having
of t h e i n d i v i d u a l l e a v e s c a n
the canopy resistance
r c can be calculated
21
rST r
c
=
-LAI
(33)
where LAI is the total area of the leaves in the canopy p e r unit g r o u n d area. When the canopy is the only source of evaporation (none from bare soil or an u n d e r s t o r e y ) the canopy r e s i s t a n c e is the same as the su r f ace r e s i s t a n c e . Cuvettes By m e a s u r i n g the i n c r e a s e with time of the concentration of water v a p o u r in chambers ( c u v e t t e s ) enclosing shoots or small b r a n c h e s ,
the t r a n s p i r a t i o n
from the plant can be deduced. Ventilated chamber On a l a r g e r scale, whole t r e e s h a v e been enclosed in v e n t i l a t e d chambers and again the i n c r e a s e in water v a p o u r measured
to give the t r a n s p i r a t i o n
from the plant (Greenwood et a l . , 1981). O t h e r Methods B e n d i n g b r a n c h method To measure the rate of evaporation of i n t e r c e p t e d rainfall from individual b r a n c h e s or t r e e s ,
two methods h a v e been developed.
Hancock and C r o w t h e r
(1979) have d ev e l o p e d i n s t r u m e n t a t io n to measure the b e n d i n g of an individual b r a n c h as its mass i n c r e a s e s as the r e s u l t of water being s t o r e d on the leaves d u r i n g rain.
Besides indicating the total mass of water s t o r e d on the v e g e -
tation d u r i n g rainfall, the measurements g i v e the rate of d e c r e a s e in mass and therefore
the evaporation of the i n t e r c e p t e d p r eci p i t at i o n when rainfall and
dripping
cease.
This method is unable
to measure the evaporation d u r i n g
rainfall b ecau s e of the unknown gains and losses due to rainfall and d r i p p i n g respectively. y - r a y method An o t h er method of m e a s u r i n g the mass of w at er s t o r e d on the v e g e t a t i o n and
its
changes
over
s h o r t periods of time,
was developed u s i n g a y - r a y
a b s o r p t i o n system (Olszyczka and C r o w t h e r , 1981). Excised shoots A further precipitation
or
method
of m e a s u r i n g
transpiration
involves
either
the
measuring
ev ap o r at i o n the
of i n t e r c e p t e d
changes
of mass
of
22 excised shoots. an
B y c o m p a r i n g t h e r a t e s of loss of m a s s of a d r y s h o o t a n d of
artificially
cepted
wetted
shoot,
the
water and transpiration
be measured
(Rutter,
comparative
under
rates
of e v a p o r a t i o n
of i n t e r -
t h e same m e t e o r o l o g i c a l c o n d i t i o n s ,
can
1967).
COMPARISON OF METHODS OF MEASURING EVAPORATION It
is
accuracy
very
difficult,
often required
differences
if n o t
impossible,
by hydrologists.
of 20 p e r c e n t o r l e s s .
to m e a s u r e
Thus,
for measuring
have
able
we w o u l d
e f f e c t of r e p l a c i n g
still not
have
to t h e
if a t t h e b e g i n n i n g Of t h i s c e n t u r y
we h a d h a d t h e k n o w l e d g e a n d t e c h n i q u e s now,
evaporation
It is u n r e a l i s t i c to h o p e to m e a s u r e
been
e v a p o r a t i o n t h a t we
to p r e d i c t
t h e n a t i v e v e g e t a t i o n in s o u t h - w e s t e r n
quantitatively
the
Australia by wheat.
All t h a t c o u l d h a v e b e e n d o n e would h a v e b e e n to s u g g e s t
t h a t r e p l a c e m e n t of
perennial vegetation by annual crops would probably reduce the annual evaporation. T h e m e t h o d s of m e a s u r i n g should
be
divided
the
various
and
are
into
methods
not,
have
therefore,
between
primarily plants.
used
the surface
to f u l f i l v e r y
comparable.
One
water
section since
different objectives
s e t of m e t h o d s h a s b e e n
t h e t r a n s f e r of e n e r g y a n d
governing
and the atmosphere.
the
in t h e p r e v i o u s
before they are compared,
developed
the processes
to s t u d y
These
been
presented
categories
strictly
d e v e l o p e d to u n d e r s t a n d matter
evaporation
different
Another
s e t of m e t h o d s a r e
r e l a t i o n s of i n d i v i d u a l p l a n t s o r p a r t s
m e t h o d s also a r e o f t e n u s e d
to m e a s u r e
the evaporation
of
from
d i f f e r e n t p a r t s of t h e s y s t e m , f o r e x a m p l e from t h e t r e e s a n d f r o m t h e u n d e r storey
of a f o r e s t
to q u a n t i f y previous
separately.
the evaporation over a long period,
groups
methods
up
space.
I t is i m m e d i a t e l y to
to
of
minutes used
measurements
corner
months or years,
concerned
the methods
are
apparent
that,
in g e n e r a l ,
evaporation
over
short
of t h i s
time
classification
sight
that
of t h i s t a b l e a r e r e l e v a n t . the current
annual crops choose
primarily
T a b l e 7,
at first
with
whereas the
time
classified
by
scales
of
time a n d
the methods which are scales
are
confined
to
the
between
different
measure
vegetation over shorter
of t h e o b j e c t i v e s of t h e
t h e m e t h o d s in t h e t o p r i g h t
T h i s is c e r t a i n l y t r u e if i t is w i s h e d
if t h e aim is to m e a s u r e
increase
in e v a p o r a t i o n
by more water-demanding
which
and
only
s i t u a t i o n o r to c h e c k t h e e f f e c t of v e g e t a t i o n c h a n g e s
However,
time o r p r e d i c t
methods
are
o v e r small a r e a s a n d v i c e v e r s a .
in the long-term.
to
the
it a p p e a r s
to m e a s u r e short
In
a consideration
Workshop, hand
days.
measure
From
T h e l a s t s e t of m e t h o d s a r e p r i m a r i l y i n t e n d e d
types
evaporation
perennial of
from
it
is
individual
over a
b y r e p l a c e m e n t of
vegetation,
vegetation, the
the evaporation
caused
o r in p a r t i c u l a r necessary
components
time p e r i o d s a n d on s m a l l e r s p a c e s c a l e s .
to
use
of t h e
23
O
i i t
~7 i Q o
o
~
~7 t t t t
i i
i i
t
>
~
t
o
~7~7
~7~7
~ o~
o
~7
24
Methods of measuring evaporation can only be usefully compared when the specific objectives and locations of the studies have been decided upon. The relevance and accuracy of a particular method depends critically on the circumstances under which it used.
For example,
a lysimeter is very poor
for measuring the evaporation from a forest;
but for measuring some of the
components of the evaporation, it is ideal.
Similarly measurement of the
water balance of a catchment can give a very accurate determination of the average evaporation from the area over a year or longer period;
however
this method provides no information about the components that make up the total evaporation and therefore the measurements would provide a rather poor basis for modelling the effects of changes in vegetation. PREDICTION OF EVAPORATION
To d r a w u p p r o p o s a l s f o r a l a n d m a n a g e m e n t s c h e m e in o r d e r to a l l e v i a t e the
salinity
predict
problems
the
requirements, rather
of
evaporation it
is
south-western from
the
essential
to
Australia,
replacement
use
methods
with
than an empirical or statistical approach.
method
uses
the Monteith-Penman
equation
it
will b e
vegetation. a
necessary To
sound
At present
to
meet
these
physical
basis
the most suitable
with measurement
o r e s t i m a t e s of
the resistances. The Monteith-Penman equation treats single
surface.
particularly stringent
This
a
any evaporating
considerable
a r e a as if it was a
over-simplification
in t h e c a s e of a m u l t i - l a y e r e d f o r e s t c a n o p y . analysis,
However
is
the
Shuttleworth
theoretical
(1976)
advantages
has
developed
of t h e S h u t t l e w o r t h
of
reality ;
U s i n g a m u c h more a multi-layer
model.
model are more than
o f f s e t b y t h e p r a c t i c a l d i f f i c u l t i e s of d e v e l o p i n g s u f f i c i e n t l y a c c u r a t e m o d e l s of the resistances
f o r all t h e l e v e l s .
So in p r a c t i c e t h e s i m p l e r M o n t e i t h - P e n m a n
m o d e l is p r e f e r a b l e . To u s e t h e M o n t e i t h - P e n m a n e q u a t i o n f o r p r e d i c t i n g a particular
area requires
h o u r l y m e a s u r e m e n t s of t h e m e t e o r o l o g i c a l v a r i a b l e s
a n d v a l u e s of t h e r e s i s t a n c e s tation
and
discussed of
the
climate. earlier).
resistances
The
which are appropriate
resistances
depend
to t h e a r e a a n d i t s v e g e -
on a n u m b e r
of v a r i a b l e s ,
(as
To model t h e r e l a t i o n s h i p s w h i c h d e s c r i b e t h e d e p e n d e n c e on
these
variables,
the
resistances
factors must be measured over a representative There
t h e e v a p o r a t i o n from
and
the
controlling
r a n g e of c o n d i t i o n s .
a r e a n u m b e r of m e t h o d s of m e a s u r i n g t h e a e r o d y n a m i c r e s i s t a n c e .
T h e m o s t u s u a l m e t h o d is b y m a k i n g m e a s u r e m e n t s of t h e w i n d p r o f i l e o v e r a n extensive and
the
difficult
uniform surface roughness to m e a s u r e
length
and deriving values for the zero plane displacement for
accurately.
use
in E q n .
Also t h i s
8.
However
equation
d a n d zo a r e v e r y
t a k e s n o a c c o u n t of t h e
25
effects of stability.
Monteith (1965) points out that this results in the aero-
dynamic resistance being over-estimated in unstable conditions, during which most transpiration occurs.
Another method is to measure the evaporation
from a completely wet surface, then r
S
is zero and the aerodynamic resistance
can be determined from Eqn. (13) or from the rearranged Monteith-Penman equation, i . e . ,
pCp{ew(T) - e} ra
When
=
(A+y)XE - (Rn - G - S - P)
(34)
the evaporating surface is completely wet the temperature of the
surface is often less than the air temperature,
so the atmosphere is stable
and the aerodynamic resistance will again be over-estimated.
The only method
that
under
allows
conditions
measurements requires
of
the
measurements
aerodynamic of
the
resistance
sensible
heat flux by
unstable the eddy
correlation technique (see Eqn. 17) and of the surface temperature Ts, then ra
=
pCp(T s - T)/H
Measurements porometry
of the
measurements
(35)
surface
resistance
can
of stomatal resistance
either be obtained
or by measuring
from
the evapo-
ration and using the rearranged Monteith-Penman equation, i.e., =
rs
(Aft/'/ - 1)r a + pCp{ew(T) - e ) / ( y ~kE)
with values of the aerodynamic previous paragraph. minimised
by
The
using
resistance
(36)
determined
as described in the
effect of errors in aerodynamic resistance can be
the
same
method
to determine
ra for calculating
the
surface resistance from Eqn. (36) as for calculating the evaporation from the Monteith-Penman equation (32). CONCLUDING REMARKS
Over
the l a s t
understanding the
major
two d e c a d e s
there
has
been
a g r e a t i m p r o v e m e n t in the
of t h e e v a p o r a t i o n p r o c e s s and in p a r t i c u l a r which f a c t o r s h a v e
control
over
t y p e s of v e g e t a t i o n .
the
evaporation
and
how t h e s e
d i f f e r with v a r i o u s
F o r t e m p e r a t e climates t h e r e l a t i v e and a b s o l u t e m a g n i -
t u d e s of t h e c o m p o n e n t s of t h e e v a p o r a t i o n from d i f f e r e n t t y p e s of v e g e t a t i o n have
been
very
little i n f o r m a t i o n e v e n a b o u t t h e r e l a t i v e m a g n i t u d e s of t h e e v a p o r a t i o n
components. factors,
satisfactorily During
represented
quantified.
this
period
H o w e v e r f o r t r o p i c a l climates t h e r e it
also
became
appreciated
b y t h e s u r f a c e and a e r o d y n a m i c r e s i s t a n c e ,
that
is
surface
h a v e a much
26 greater
influence
implying that
on
there
the is
e v a p o r a t io n
considerable
than
had
variation
been
in
previously
thought,
evaporation from d i f f e r e n t
t y p e s of v e g e t a t i o n e x p e r i e n c i n g the same climate ( S h u t t l e w o r t h and Calder, 1979). To enable a land management scheme to alleviate the salinity problems of south-western
Australia to be chosen on scientific g r o u n d s ,
the evaporation
from d i f f e r e n t combinations of v e g e t a t i o n and areas wiU have to be calculated. This will r e q u i r e models d e s c r i b i n g ,
for example, the d e p e n d e n c e of su r f ace
resistance
on climatic and soil v a r i a b le s for all the t y p es of v e g e t a t i o n of
interest.
However s c r u t i n y of the world scientific l i t e r a t u r e shows that for
forests,
even in temperate climates, t h e r e are v e r y few suitable models (Gash
and S t e w a r t , Black,
1975;
1981);
for
Tan and Black,
1976;
tropical
there
forests
Calder, are
1977;
none.
Spittlehouse and
Therefore
the
first
r e q u i r e m e n t is to make measurements of the e v a p o r a t i o n , of the aerodynamic and
surfaces
resistances
and
of
the
concurrent
meteorological and
soil
conditions f o r all the major ty p e s of v e g e t a t i o n which may be grown in this region of Australia. be
d ev el o p ed and
S u b s e q u e n t l y , u s i n g this data b ase, suitable models can used
with
the
Monteith-Penman
equation
to p r e d i c t
the
evaporation. When the Ylonteith-Penman equation is used to p r e d i c t the evaporation from an area c o v e r e d by one type of v e g e t a t i o n , the t h eo r et i cal assumptions u s e d are well u n d e r s t o o d .
However to p r e d i c t the ev ap o r at i o n from a m i x t u r e
of v e g e t a t i o n , t h e r e is less c e r t a i n t y about how to use the r e s u l t s and models obtained
from
studies
of
individual
species.
measurements made on individual t r e e s ation
from
necessary
the to
complex
native
undertake
some
forests
calculating
the
e v a p o r a t io n
of
Western
th e o r e t ic a l
S h u t t l e w o r t h m u l t i - l a y e r models (1976, from areas
For
example,
how
should
be combined to estimate the e v a p o r -
1979b),
Australia?
studies,
starting
It may be from
the
to determine which method of
of e i t h e r
mixed v e g e t a t i o n
or from
combinations of v e g e t a t i o n and bare soil are valid. REFERENCES ASCE, 1973. Consumptive use of water and irrigation water requirements. American Society of Civil Engineers, New York, 215 pp. Brutsaert, W.H., 1982. Evaporation into the atmosphere. D. Reidel Publ. Co., Dordrecht, 299 pp. Calder, I.R., 1977. A model of transpiration and interception loss from a spruce forest in Plynlimon, central Wales. J. Hydrol., 33: 24-265. CSIRO, 1981. Institute of Earth Resources, Annual Report 1980/81. CSIRO: Melbourne, 111 pp. Cowan, I.C., 1968. Mass, heat and momentum exchange between stands of plants and their atmospheric environment. Q.J.R. Meteorol. Soc., 94: 523-544.
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Dimmock, G.M. Bettenay, E., and Mulcahy, M.J., 1974. Salt content of lateritic profiles in the Darling Range, Western Australia. Aust. J. Soil Res., 12: 63-69. Doorenbos, J. and Pruitt, W.O., 1977. Crop water requirements. Irrigation and Drainage Paper 24, F.A.O., Rome, 144 pp. Gash, J.H.C., 1979. An analytical model of rainfall interception by forests. Q.J.R. Meteorol. Soc., 105: 43-55. Gash, J.H.C. and Steward, J.B., 1975. The average surface resistance of a pine forest derived from Bowen ratio measurements. Boundary-Layer Meteorol., 8: 453-464. Gentilli, J., 1971. Climates of Australia and New Zealand. Vol. 13, World Survey of Climatology, Elsevier, Amsterdam, 405 pp. Giesel, W., Lorch, S., Renger, M. and Strebel, O., 1970. Isotope hydrology. Proc. Symp., Vienna, 1970. IAEA, Vienna, pp. 663-672. Greenwood, E.A.N., Beresford, J.D. and Battle, J.R., 1981. Evaporation from vegetation in landscapes developing secondary salinity using the ventilated chamber technique. III. Evaporation from a Pinus radiata tree and the surrounding pasture in an agroforestry plantation. J. Hydrol., 50: 155-166. Hancock, N.H. and Crowther, J.M., 1979. A technique for the direct measurement of water storage on a forest canopy. J. Hydrol., 41: 105-122. Hillman, R.M., 1981. Land and stream salinity in Western Australia. Agric. Water Manage., 4: 11-18. Jarvis, P.G., 1976. The interpretation of the variations in leaf water potential and stomatal control found in canopies in the field. Phil. Trans. R. Soc., Lond. B., 273: 593-610. Lassoie, J.P., Scott, D.R.M. and Fritscben, L.J., 1977. Transpiration studies in Douglas-fir using the heat pulse technique. Forest Sci., 23: 377-390. Monteith, J.L., 1965. Evaporation and the environment. Symp. Soc. Expt. Biol., 19: 205-234. Monteith, J.L., 1973. Principles of environmental physics. Edward Arnold, London, 241 pp. Monteith, J.L., 1981. Evaporation and surface temperature. Q.J.R. Meteorol. Soc., 107: 1-27. Nulsen, R.A. and Henschke, C.J., 1981. Groundwater systems associated with secondary salinity in Western Australia. Agric. Water Manage., 4: 173-186. Olszyczka, B. and Crowther, J.M., 1981. The application of gamma-ray attenuation to the determination of canopy mass and canopy surface water storage. J. Hydrol., 49: 355-368. Paltridge, G.W., 1975. Net radiation over the surface of Australia. Search, 6: 37-39. Peck, A.J., 1977. Development and reclamation of secondary salinity. In: A.J. Rixon (Editor), Soil factors in crop production in a semi-arid environment. Univ. Queensland Press, St. Lucia, pp. 301-319. Peck, A.J. and Hurle, D.H., 1973. Chloride balance of some farmed and forested catchments in southwestern Australia. Water Resour Res., 9: 648-657. Roberts, J.M., 1977. The user of tree-cutting techniques in the study of the water relations of Pinus sylvestris L.I. the techniques and survey of the results. J. Expt. Bot., 28: 751-767. Roberts, J.M., Pymar, C.F., Wallace, J.S. and Pitman, R.M., 1980. Seasonal changes in leaf area, stomatal and canopy conductances and transpiration from bracken below a forest canopy. J. Appl. Ecol., 17: 409-422. Rutter, A.J., 1967. An analysis of evaporation from a stand of Scots pine. In: W.E. Sopper and H.W. Lull (Editors), Forest Hydrology. Pergamon Press, Oxford, pp. 403-416. Rutter, A.J., 1972. Transpiration. Oxford Uni. Press, London, 15 pp. Shuttleworth, W.J., 1976. A one-dimensional theoretical descripton of the vegetation-atmosphere interaction. Boundary-Layer Meteorol, 10: 273-302.
28
Shuttleworth, W.J., 1979a. Evaporation. Institute of Hydrology Rep. No. 56, NERC, Swindon, 61 pp. Shuttleworth, W.J., 1979b. Below-canopy fluxes in a simplified onedimensional theoretical description of the vegetation-atmosphere interaction. Boundary-Layer Meteorol. 17: 315-331. Shuttleworth, W.J. and Calder, I.R., 1979. Has the Priestley-Taylor equation any relevance to forest evaporation? J. Appl. Met., 18: 639-646. Spittlehouse, D.L. and Black, T.A., 1981. A growing season water balance model applied to two Douglas fir stands. Water Resour. Res., 17: 1651-1656. Stewart, J.B., 1977. Evaporation from the wet canopy of a pine forest. Water Resour. Res., 13: 915-921. Stewart, J.B., 1978. A micrometeorological investigation into the factors controlling the evaporation from a forest. Ph.D. Thesis, Univ. of Reading, 211 pp. Stewart, J.B. and Thom, A.S., 1973. Energy budgets in pine forest. Q.J.R. Meteorol. Soc., 99: 154-170. Tan, C.S. and Black, T.A., 1976. Factors affecting the canopy resistance of a Douglas-fir forest. Boundary-Layer Meteorol., I0: 475-488. Wallace, J.S., Batchelor, C.H. and Hodnett, M.G., 1981. Crop evaporation and surface conductance calculated using soil moisture data from central India. Agric. Meteorol., 25: 83-96. Waring, R.H. and Roberts, J.M., 1979. Estimating water flux through stems of Scots pine with tritiated water and phosphorus-32. J. Exp. Bot., 30: 459-471. Winter, E.J., 1974. Water, soil and the plant. Macmillan Press, London, 141 pp. Wronski, E.B., 1980. Hydrometeorology and water relations of Pinus radiata. Ph.D. Thesis, Flinders Univ. of South Australia, 317 pp.