climate change after tropical deforestation: seasonal variability of

advertisement
CLIMATE CHANGE AFTER TROPICAL DEFORESTATION: SEASONAL
VARIABILITY OF SURFACE ALBEDO AND ITS EFFECTS ON PRECIPITATION
CHANGE
Marcos Heil Costa1, Meire L. C. Berbet1 and Silvia N. M. Santos1
Resumo: Este trabalho estuda os efeitos sazonais da mudança do albedo da superfície após um
desmatamento tropical no padrão sazonal de precipitação na Amazônia. Resultados do
experimento climático de Costa e Foley (Journal of Climate, 2000, p. 18-35) foram usados para
representar as mudanças de precipitação num cenário onde toda a floresta tropical foi substituída
por pastagem. Os albedos simulados da floresta e da pastagem foram comparados a ambos os
albedos de floresta e pastagem observados durante o projeto ABRACOS (Anglo-Brazilian
Amazonian Climate Observation Study). Nós verificamos, nas medições de albedo, que tanto o
albedo da floresta quanto o da pastagem apresentam variabilidade sazonal, com o albedo da
floresta assumindo valores mais altos durante a estação seca (Jun-Nov), e menores no período
chuvoso (Dez-Maio), enquanto o albedo da pastagem é menor na estação seca. A maior parte das
características das diferenças observadas no albedo estão presentes no albedo simulado também,
o que é em parte devido à habilidade da parametrização de superfície em representar a fenologia
da vegetação. Nós também verificamos que a variabilidade sazonal nas anomalias da radiação
refletida, causadas pelo desmatamento tropical, está associada a flutuações sazonais nas
anomalias de precipitação.
Abstract: This work studies the seasonal effects of the surface albedo change after a tropical
deforestation and its influence on the seasonal pattern of precipitation in Amazonia. Results of
the climate simulation study of Costa and Foley (Journal of Climate, 2000, p. 18-35) are used to
represent the precipitation changes in a scenario where all tropical forest was replaced by pasture.
The simulated forest and pasture albedo are compared to both the forest and pasture albedos
observed during the ABRACOS (Anglo-Brazilian Amazonian Climate Observation Study)
1
Departamento de Engenharia Agrícola e Ambiental, Universidade Federal de Viçosa, Av. P. H. Rolfs s/n, Viçosa,
MG, CEP 36570-000, tel (31) 3899-1899, fax (31) 3899 2735, e-mail mhcosta@ufv.br
project. We verified, in the surface albedo measurements, that both forest and pasture albedo
show seasonal variability, with the forest albedos higher in the dry period (Jun-Nov), and lower
values in the rainy period (Dec-May), while the pasture albedo decreases in the dry season. Most
of the characteristics of the observed differences in albedo are present in the simulated albedo
too, which is in part due to the ability of the land surface parameterization to represent vegetation
phenology. We also verified that the seasonal variability in the reflected radiation anomalies,
caused by the tropical deforestation, is associated with seasonal fluctuations in the precipitation
anomalies.
1. Introduction
In the past years, the climate change after a tropical deforestation has been studied using
several approaches, including global climate modeling, regional climate modeling, theoretical
approaches, and field observations. Considering only the global climate modeling efforts, it has
been learned that changes in surface albedo (') and vegetation roughness length (z0) are the two
most important biophysical properties that affect the local climate (Lean and Warrilow, 1989;
Hahmann and Dickinson, 1997), although the reduction in latent heat flux and atmospheric
feedback processes, like moist convection and cloud-radiative effects, are also important (Zeng
and Neelin, 1999). The change in surface albedo has long been considered the most important
driver of deforestation-induced climate change, so field efforts, like the ABRACOS project
(Anglo-Brazilian Amazonian Climate Observation Study – Gash et al., 1996), were conducted to
obtain realistic values of albedo of tropical forests and pastures, so that the climate models could
be driven by realistic parameters.
Eltahir (1996) theoretically explained the changes in precipitation patterns after the
conversion of tropical forests to pastures. According to him, the increase in the surface albedo
after deforestation causes a reduction in the net surface radiation, which cools the upper
atmosphere over the deforested area, inducing a thermally-driven circulation that results in
subsidence. Zeng and Neelin (1999) described the feedback mechanisms that affect the water and
energy balance of an atmospheric column in response to a scenario of increased surface albedo,
which include feedbacks related to moisture convergence, evaporation and cloud cover,
concluding that the precipitation change (P') could be explained as a linear function of the change
in surface albedo (').
Most of the studies about the climate change caused by tropical deforestation analyzed
annual mean data, or one specific season. However, analysis of the results of tropical
deforestation experiments indicates that the differences in precipitation are seasonal. In addition,
the precipitation change over the deforested area is not uniform, and an explanation about the
spatial heterogeneity has not been proposed yet. Our goal in this paper is to contribute to the
discussion of the climate change after a large-scale tropical deforestation, analyzing the seasonal
precipitation changes. In this paper, we evaluate how seasonal variations in surface albedo and
reflected radiation affect the changes in precipitation. First, we analyze the observed seasonal and
spatial variability in surface albedo and discuss the reasons for the variability. Then, we do a
simple analysis relating the seasonal change in precipitation to the seasonal changes in albedo
and to the seasonal variability in incoming solar radiation.
2. Seasonal variability in the albedo of tropical vegetation
We can group the most important causes of albedo variability throughout the year in four
major categories: (a) temporal variations in soil and leaf reflectance, (b) changes in the fraction of
soil covered by vegetation, (c) factors that affect multiple reflections within the canopy, and (d)
partition of the solar radiation in direct and diffuse components.
In this paper, we will consider that reflectance is the ratio of reflected to incident radiation
at a single wavelength, while albedo is the integration of reflectance through the solar radiation
spectrum. Within a vegetation type, the leaf reflectance can vary due to different vegetation
species, to leaf water stress, to presence of water on leaf surfaces (leaf wetness), to the nutritional
status of the plant and to the age of the leaf (Bégué et al., 1996; Bremer and Ham, 1999). Soil
moisture affects soil albedo and leaf water stress, so it is also linked to surface albedo. Except for
leaf water stress, soil moisture and leaf wetness, which are all dependent on the precipitation
patterns, all the additional above-mentioned causes of albedo variability are not likely to be
important at the large-scale.
If the albedo of the soil surface is significantly different from the vegetation albedo,
changes in vegetation cover that expose the soil can be important. Tropical rainforests are usually
evergreen or semi-deciduous, and the exposure of the soil surface underneath a tropical rainforest
is rare. On the other hand, pasture grasses and crops that usually replace the tropical rainforest
provide a poor cover of the soil surface. Therefore, in agricultural ecosystems, a small seasonality
in the leaf area index may cause important variations in the surface albedo (Rosset et al., 1997;
Giambelucca et al., 1999; Nouvellon et al., 2000).
The phenomenon of multiple reflection of the solar radiation by the canopy can also
introduce a significant seasonal variability in the surface albedo. For a surface covered by a dense
tropical forest, the solar beam has a low probability of penetration into the canopy and the albedo
of the canopy is close to the albedo of the individual leaves. However, in partially opened
canopies, solar beams penetrate the canopy, being reflected multiple times by branches, stems,
soil surface, and lower part of leaves, until a fraction finally leaves the canopy. When multiple
reflections happen, the absorption of energy increases, and albedo decreases. Multiple reflections
are only important when the vegetation cover is intermediate, i.e., it is small enough to let direct
sunlight penetrate the canopy, but high enough to reflect back a substantial portion of the upward
reflected solar radiation. Multiple reflections are more common if the solar elevation angle is
higher, and if the leaf orientation is more vertical than horizontal. A detailed description of the
radiative transfer in vegetative canopies can be found in Suits (1972), Kimes (1984), and Sellers
(1985).
It is also expected that the albedo would be smaller under cloudy conditions. The diffuse
radiation is more absorbed than the direct radiation, so, the higher the proportion of the diffuse
radiation, the less important the solar angle is (Pereira, 1997; Song, 1998; Nouvellon et al.,
2000).
Here, we describe the seasonal variations of the surface albedo of tropical forests and
ranchland and review the major factors that are important to the variability. Our discussions are
based mainly on the data collected during the ARME (Amazon Region Micrometeorological
Experiment) and ABRACOS (Anglo-Brazilian Amazonian Climate Observation Study)
experiments.
Figure 1 shows a typical seasonal variability of observed tropical vegetation surface albedo
(solid lines). Figure 1a shows values measured at Reserva Ducke (forest) and at Fazenda Dimona,
a nearby pasture, both at about 2S, while Figure 1b shows the data collected at Reserva Jaru
(forest) and at Fazenda Nossa Senhora, a nearby pasture, both at around 10S (data from the
ABRACOS project, collected between 1991 and 1993 – Culf et al., 1996). The forest albedo
shows some seasonal variability, with higher values in the dry period (Jun-Nov), and lower
values in the rainy period (Dec-May). On the other hand, the pasture albedo presents a more
strong variability throughout the year, especially in Ji-Paraná (Figure 1b), with albedo values
decreasing in the dry season, a consequence of the decrease in the leaf area index in the dry
period (Wright et al., 1996). In Figure 1, the combined effects of four of the most important
sources of variability of surface albedo can be observed: leaf and soil moisture, leaf area index,
partition of solar radiation in direct and diffuse components, and solar elevation angle.
Culf et al. (1995) discuss these results. They found a strong relationship between surface
albedo and soil moisture, although most of it is probably related to soil moisture correlated
variables: the decrease in forest albedo in the rainy season is probably a consequence of smaller
soil exposure, darker leaves (associated with the leaf water potential), higher leaf wetness, and
darker humid soils, in both forest and pasture, although darker soils would be important only in
the pasture.
Although Culf et al. (1995) did not find an important relationship between albedo and solar
elevation angle in ABRACOS data, other studies indicate that albedo shows daily and seasonal
cycles associated with changes in the solar elevation angle. Higher angles allow the deeper
penetration of light inside a canopy, contributing to a higher absorption of the incident solar
radiation, causing the albedo to be typically smaller in mid-latitude summers (Giambelucca et al.,
1999). Shuttleworth et al. (1984), analyzing ARME data, verified that the mean albedo () of the
tropical rainforest depends on the solar elevation angle , according to  = 15.09 – 0.136  +
0.00123 2 ( in percent,  in ). Pereira (1997) reports that, when the solar elevation angle is
greater than 60°, there is a significant increase in the frequency of solar rays that penetrate deep
in the canopy of a tropical rainforest, with consequent decrease in the albedo.
3. Seasonal variability in precipitation
To analyze the effects of the seasonal variability in surface albedo in the precipitation
patterns, we use the results of the climate experiment of Costa and Foley (2000), hereinafter
referred to as CF. This study is performed using the National Center for Atmospheric Research
GENESIS climate model (version 2), coupled to the Integrated Biosphere Simulator (IBIS).
GENESIS also includes an ocean model, in the form of a 50-m slab mixed-layer ocean model
with sea-ice. Although the original experiment studied the combined effects of deforestation and
double CO2 concentrations on the climate of Amazonia, only the results of the control run, that is,
original vegetation cover (forest) (F) and Amazonian deforestation experiment (D), in which the
forest is replaced by a grassland, both at 1xCO2, are considered in the present study. The readers
can refer to Costa and Foley (2000) for more details about the models and the experiment.
The CF tropical deforestation experiment has a unique characteristic that differs from other
experiments of its genre. While most land surface parameterizations use prescribed albedos
(either fixed or variable according to the calendar year), IBIS simulates the leaf phenology of the
deciduous/semi-deciduous vegetation according to the climate. Thus, the effective albedo of the
vegetation is calculated, rather than prescribed, and depends on the leaf area index, on the
orientation and reflectance of leaves, and on the partition between direct and diffuse solar
radiation (a detailed description of the albedo calculation in IBIS is given in Appendix A).
However, additional sources of variability of the surface albedo in the real world are not included
in the computation of albedo in the model: the leaf reflectance does not vary with soil moisture,
and the level of leaf wetness does not affect radiation transfer and reflection processes.
The annual mean simulated albedos, both for the forest and pasture areas, are close to the
observed values (Table 1). The observed annual mean albedos are 0.133 and 0.176, for the sites
of forest and pasture, respectively (Culf et al., 1996). The CF simulated values are 0.131 and
0.167, respectively. The annual mean forest albedo varies between 0.122 and 0.147 for the three
experimental sites of ABRACOS, while the simulated albedo varied spatially between 0.127 and
0.138. The spatial variability for the three pasture sites range from a minimum of 0.169 to a
maximum of 0.193, while the variability of the simulated albedos throughout the deforested grid
cells range from 0.163 to 0.190. In both cases, although the annual mean of the simulated albedo
is close to the observed, the spatial variability of the simulated albedo is smaller than the
observed one.
Table 1 -- Comparison between the annual mean simulated and observed albedos, for forest and
pasture areas, and range of spatial variability
Observed
Average
Range of variability among
experimental sites
Simulated
Average
Range of variability
among grid cells
Forest (F)
0.133
0.122–0.147
0.131
0.127–0.138
Pasture (D)
0.176
0.169–0.193
0.167
0.163–0.190
In Figure 1, it is shown that the simulated values of albedo usually reproduce correctly the
observed values between August and November, when the canopy is dry and the LAI is low.
During the wet season, forest albedo is overestimated, and pasture albedo is underestimated. This
implies that the misrepresentation of albedo during this part of the year is related to the
incomplete representation of the solar radiation processes associated with a wet canopy/soil.
Uncertainties in the partition of the solar radiation in direct and diffuse components by the
climate model can also affect these results. Simple model improvements that can enhance the
representation of the vegetation albedo include the incorporation of a dependence of the leaf
reflectance to leaf water stress and to the presence of water on leaf surfaces (leaf wetness), the
representation of dead leaves (with remarkably different radiative properties) in the canopy
(Wright et al., 1996), and the incorporation of the effect of wind in the orientation of leaves
(Song, 1998).
0.25
0.20

0.15
0.10
0.05
(a)
0.00
1
2
3
4 5
6
7
8 9 10 11 12
2
3
4 5
6
7
8 9 10 11 12
0.25

0.20
0.15
0.10
0.05
(b)
0.00
1
Forest (Observed)
Pasture (Observed)
Forest (Simulated)
Pasture (Simulated)
Figure 1: Monthly values of surface albedo (), measured at (a) Reserva Ducke (forest) and
Fazenda Dimona (a nearby pasture), and (b) Reserva Jaru (forest) and Fazenda Nossa Senhora (a
nearby pasture), during the ABRACOS project (data from Culf et al., 1996). The figure also
shows simulated albedo values for the band of grid cells with the same latitude of the
experimental site. The uncertainties in the estimates are on the order of 0.005 for simulated
values, and 0.006 for observed values (Wright et al. 1996)
Figure 2 presents the monthly observed variability of the difference between the pasture and
forest albedos ('D–F), for two ABRACOS sites (Manaus, at 2.6S, and Ji-Paraná, at 10.4S),
and the difference in the surface albedo simulated by the GENESIS/IBIS climate model, for the
grid cells centered at latitudes 2.25°S and 11.25°S. Three characteristics are evident in the
observed values in Figure 2: strong seasonality of the albedo difference, greater differences for
higher latitudes and, for each paired site, the smallest differences happened in the months of
September and October. Although the average simulated ' is smaller than the average observed
', the same characteristics are present in the albedos simulated by CF. However, since the IBIS
parameterization does not include all sources of variability of surface albedo, and only represents
the average characteristics for a whole grid cell, it cannot simulate as much heterogeneity as in
reality, and therefore the variability of the simulated surface albedo is much smaller than the
variability of the observed albedo.
0.10
0.08
'
0.06
0.04
0.02
0.00
1
2
3
4
5
Manaus (2.6ºS)
Simulated 2.25ºS
6
7
8
9
10
11
12
Ji-Paraná (10.4ºS)
Simulated 11.25ºS
Figure 2: Monthly values of difference in surface albedo ('= D – F), observed at Manaus and
Ji-Paraná, and the correspondent values simulated by the GENESIS/IBIS climate model.
Uncertainties in the differences between albedos are on the order of 0.01.
We then examine the role that the seasonal variability of albedo might have in the local
climate after a tropical deforestation. In our analysis, seasonal changes in precipitation are not
correlated with seasonal changes in albedo (=0.005). However, the incident radiation varies
considerably at the seasonal scale and also spatially. To represent both the variability in incident
radiation (S0) and in surface albedo (), we then plot in Figure 3 the precipitation changes after
deforestation (P') against changes in reflected radiation after deforestation (Sr'), where Sr = S0..
In Figure 3, each point represents an average of three months over a band of latitude. The
regression analysis between P' and Sr' shows that 28% of the variance in the precipitation change
after a tropical deforestation in Amazonia is explained by the variance in reflected radiation.
The climate change after a tropical deforestation (represented here by P') is linked to Sr' by
biophysical, dynamical and radiative mechanisms. Deforestation is characterized by an increment
in albedo, a decrease in atmospheric turbulence (lower z0), a decrease in leaf area index (LAI),
and a decrease in root depth (zR). Initially, consider only the non-radiative effects of deforestation
(which is equivalent to assume '=0): Decreases in z0, LAI and zR all contribute to a decrease in
latent heat flux, and an increase in surface temperature, atmospheric instability, cloudiness and
precipitation.
P' (mm/day)
6
4
2
0
-2
-4
2
R = 0.28
-6
0
10
20
30
40
50
60
Sr' (W.m-2)
Figure 3: Relationship between the change in the precipitation pattern (P'), in mm/day, and the
change in energy reflected by the surface [Sr' = (S0.']. Each point represents an average of three
months over a band of latitude. For more details, refer to Costa and Foley (2000).
As the reflected radiation increases (due to increases in surface albedo and to cloudradiative feedbacks), surface temperature does not change, but surface latent and sensible heat
fluxes decrease due to reduced radiation absorbed by the surface, resulting in a cooling of the
atmospheric column, which induces a thermally-driven circulation that results in subsidence, with
subsequent reduction in convection, cloudiness and precipitation. The cloud-radiative feedback is
an important component of the entire process, as it modulates the amount of incident solar
radiation at the surface.
Our results agree with the theoretical ideas of Zeng and Neelin (1999), who proposed that
the precipitation change after a tropical deforestation (P') could be explained by a linear function
of the product of the incident solar radiation (S0) and albedo change ('), being proportional to
other parameters related to feedback mechanisms. Their equations, however, do not anticipate an
increase in the precipitation for small increments in the product S0., as our results demonstrate.
Our results also agree with the conclusions of Dirmeyer and Shukla (1994). Modeling the
influence of the magnitude of surface albedo change on the climate, they demonstrated that the
precipitation increases for ' smaller than 0.03, and decreases for ' greater than this threshold.
Our study extends their results, showing that there is also a threshold in reflected radiation that
separates positive from negative anomalies in precipitation.
4. Conclusions
This study arrives at two different conclusions. Initially, we verified that there are seasonal
and spatial variations in the difference between the surface albedo of the pasture and of the forest.
While the forest albedo has a relatively small variability throughout the year, showing little
sensitivity to the solar elevation angle and the leaf and soil moisture, the pasture albedo is more
sensitive to these factors, showing strong variability throughout the year. Reasons that could
explain the higher variability in pasture albedo include height or density of vegetation, proportion
of bare soil exposed and the leaf elevation angle.
In addition, we verified that the seasonal and spatial fluctuations in the precipitation
anomalies caused by the tropical deforestation are linearly related to seasonal and spatial
variability in the differences of the reflected radiation. The decrease of the precipitation over the
deforested area is proportional to the reflected radiation increment, consistent with the results of
Dirmeyer and Shukla (1994) and Zeng and Neelin (1999). Since the incident solar radiation and
the change in surface albedo depend on the latitude, our analysis helps explain the regional
patterns of precipitation changes over the deforested area.
At the seasonal scale, we observed that precipitation increases when the change in surface
reflected radiation is smaller than a threshold, and decreases when the change in reflected
radiation is greater than the threshold. Dirmeyer and Shukla (1994) arrived at a similar
conclusion analyzing annual mean results. Our results are more generic, though, because the
variability in the reflected radiation includes not only the variability in surface albedo, but also
the variability in incident solar radiation related to time of the year, latitude, and cloud feedbacks.
The conclusions of this work indicate that climate models that incorporate a module of
dynamical vegetation have the potential to realistically represent seasonal and spatial variations
in the patterns of precipitation associated with tropical deforestation. The inclusion of
parameterizations that allow the leaf reflectance and scattering coefficients to vary with soil
moisture and with the level of leaf wetness may improve the simulations of the seasonal
variability of the surface albedo.
Acknowledgements
This research was supported by the Brazilian agency CNPq and by the US agency NASA.
Appendix A – Determination of surface albedo in IBIS
The solar radiation model in IBIS is solved every time step to provide the solar heating
rates of the upper and lower canopy leaves and stems, and soil surface. All calculations are
performed separately for two different bands: visible and near infrared.
Within each vegetation layer, a two-stream approximation is used for solar radiation. This
plane-parallel approach accounts for multiple reflections by leaves and stems, and radiation
trapping by dense canopies. The formulation follows Dickinson (1983), Sellers et al. (1986) and
Pollard and Thompson (1995). The equations that represent the radiative transfer through the
canopy are solved analytically for the two layers underlain by the soil, considered to be a nonspecular surface of known albedo, using prescribed incoming downward direct and diffuse
radiation fluxes as boundary conditions. The canonical solution is applied first to the lower story
underlain by soil to obtain the effective albedo of the lower story+soil system, and then to the
upper story underlain by the lower story+soil system, yielding the overall surface albedo needed
for the atmospheric model radiation computations.
Although complex, the representation of the solar radiation processes in the canopy by IBIS
is still incomplete. For example, the leaf/stem scatter and backscatter coefficients depend on the
fraction of the leaves and stems that is covered by snow, but is independent of the level of leaf
wetness. A rigorous incorporation of leaf wetness in the model would increase its complexity
considerably, because of the specular reflective properties of the liquid water.
References
Bégué, A, Roujean, J. L., Hanan, N. P., Prince, S. D., Thawley, M., Huete, A., Tanré, D., 1996:
Shortwave radiation budget of Sahelian vegetation: 1. Techniques of measurement and results
during HAPEX – Sahel. Agric. For. Meteor., 79, 79-96.
Bremer, D. J., Ham, J. M., 1999: Effect of spring burning on the surface energy balance in a
tallgrass prairie. Agric. For. Meteor., 97, 43-54.
Costa, M. H., Foley, J. A., 2000: Combined effects of deforestation and doubled atmospheric
CO2 concentrations on the climate of Amazonia. J. Clim., 13, 18-34.
Culf, A. D., Fisch, G., Hodnett, M. G., 1995: The albedo of Amazonian forest and ranch land. J.
Clim., 8, 1544-1554.
Culf, A. D., Esteves, J. L., Marques Filho, A. O., Rocha, H. R., 1996: Radiation, temperature and
humidity over forest and pasture in Amazonia. In: Amazonian Deforestation and Climate. Gash,
J. H. C., Nobre, C. A., Roberts, J. M., Victoria, R. L. John Wiley & Sons, 1st ed., 175-191.
Dirmeyer, P. A., Shukla, J., 1994: Albedo as a modulator of climate response to tropical
deforestation. J. Geophys. Res., 99, 20863-20877.
Eltahir, E. A. B., 1996: Role of vegetation in sustaining large-scale atmospheric circulations in
the tropics. J. Geophys. Res., 101, 4255-4268.
Gash, J. H. C., Nobre, C. A., Roberts, J. M., Victoria, R. L. Amazonian Deforestation and
Climate. John Wiley & Sons, 1st ed. 611 p.
Giambelluca, T. W., Fox, J., Yarnasarn, S., Onibutr, P., Nullet, M. A., 1999: Dry-season
radiation balance of land covers replacing forest in northern Thailand. Agric. For. Meteor., 95,
53-65.
Hahmann, A. N., Dickinson, R. E., 1997: RCCM2-BATS model over tropical South America:
applications to tropical deforestation. J. Clim., 10, 1944-1964.
Kimes, D. S., 1984: Modeling the directional reflectance from complete homogeneous vegetation
canopies with various leaf orientation distribution. J. Opt. Soc. Am., A1, 725-737.
Lean J., Warrilow D. A., 1989: Simulation of the Regional Climatic Impact of Amazon
Deforestation. Nature, 342, 411-413.
Nouvellon, Y., Bégué, A., Moran, M. S., Seen, D. L., Rambal, S., Luquet, D., Chehbouni, G.,
Inoue, Y. 2000: PAR extinction in shortgrass ecosystems: effects of clumping, sky conditions and
soil albedo. Agric. For. Meteor, 105, 21-41.
Pereira, A. R., 1997: Radiation regime of tropical rain forest. Revista Brasileira de
Agrometeorologia, 5, i-viii .
Rosset, M., Riedo, M., Grub, A., Geissmann, M., Fuhrer, J., 1997: Seasonal variation in radiation
and energy balances of permanent pastures at different altitudes. Agric. For. Meteor., 86, 245258.
Sellers, P. J. Canopy reflectance, photosynthesis, and transpiration, 1985: Int. J. Remote Sensing,
6, 1335-1372.
Shuttleworth, W. J., Gash, J. H. C., Lloyd, C. R. et al., 1984: Observations of radiation exchange
above and below amazonian forest. Q. J. R. Meteorol. Soc., 110, 1163-1169.
Song, J., 1998: Diurnal asymmetry in surface albedo. Agric. For. Meteor., 92,181-189.
Suits, G. H., 1972: The calculation of the directional reflectance of a vegetative canopy. Rem.
Sens. Envir., 2, 117-123.
Wright, I. R., C. A. Nobre, J. Tomasella, H. R. da Rocha, J. M. Roberts, E. Vertamatti, A. D.
Culf, R. C. S. Alvalá, M. G. Hodnett, 1996: Torwards a GCM surface parameterization for
Amazonia. In: Amazonian Deforestation and Climate. J. H. C. Gash, C. A. Nobre, J. M. Roberts
and R. L. Victoria, Eds. John Wiley and Sons, 1st ed. p. 473-504.
Zeng, N., Neelin, J. D., 1999: A land-atmosphere interaction theory for the tropical deforestation
problem. J.Clim., 12, 857-872.
Download