

Infrared photo of a flowering meadow: The significance of the thermal balance becomes apparent from this image of a meadow with flowers of Knautia arvensis (common name: field scabious). The thermal infrared camera measures the emitted thermal radiation, based on the Stefan–Boltzmann law, using a fixed thermal emissivity factor (here: 0.95). The average temperature of the vegetation is 21.6 °C, almost 4 K above the ambient air temperature (18 °C), with the temperature of green leaves ranging between 16 and 22 °C. Only the flower heads reach temperatures above 30 °C, which is in fact close to the optimal temperature of foraging bees (35 °C). The high temperature of the flowers results from absorption of incoming solar radiation (960 W m−2 when the picture was taken), sensible heat exchange with the surrounding air and low transpiration rates of the flowers compared with their surrounding vegetation tissues. While all of these physiological and biophysical processes contribute to the thermal balance of plants and their coupling to the atmosphere, temperature variations of >10 K are easily possible in apparently homogenous meadow vegetation. The science of the thermal balance is aimed at understanding and explaining this temperature variation. (Photos: T. Lanners)
The thermal relations of plants are part of a plant’s energy balance—that is, the sum of all radiative energy fluxes, the evaporation of water and sensible heat losses. Only about 1–2% of the incident solar energy is used for photosynthesis. The remainder of the energy (about 700–1000 W m−2 at full sunlight near the ground) has to be reflected or emitted again in order to keep the energy budget balanced. For example, plants can avoid the absorption of short-wave radiation by reflection, which depends on the reflectivity (the albedo) of their surface (e.g. waxes, hairs). Further ways to balance the incoming solar energy are the emission of long-wave radiation to the surrounding air (sensible heat) or the evaporation of water (i.e. transpiration, latent heat). The temperature of tissues results from the energy balance of incoming and outgoing radiation, heat and water fluxes, as well as from metabolic activity. Generally, the effect of metabolism on tissue temperatures (i.e. any process where energy is involved: photosynthesis, fluorescence, respiration, etc.; Chap. 4) is low in comparison with the magnitude of the sensible and latent heat fluxes (Oke and Christen 2015). To avoid damage, the temperature must be kept within certain physiological limits, even in an environment with variable incoming solar radiation. The energy balance must be regulated by the plant in such a way that damaging temperatures do not occur, even for short periods of time. Moreover, the temperature should be close to the range of the physiological optimum of metabolic processes or in a range that suits other purposes (e.g. pollination), which could be above or below the general temperature of the habitat. Some plants are able to influence their organ temperatures over a wide range, but they remain bound to biophysical processes such as reflection, absorption and transmission of radiation. For example, in the inflorescences of Araceae, temperatures of 20–40 K greater than in ambient air can be produced via cyanide-resistant electron transport in respiration in order to attract pollinators. In arid climates, leaf temperatures may be up to 17 K below the ambient temperature because of transpiration, thus reducing the risk of heat damage (Lange 1959). These examples nicely illustrate how the temperature of a plant or its tissues is the result of an energy balance and is regulated within certain limits by physiological processes.
In this book, the microclimatic environment of plants and communities is presented as well because the lower layers of the atmosphere—the so-called atmospheric boundary layer—are clearly part of a plant’s habitat. First, the concepts of radiation and energy balances are introduced, followed by a biophysical analysis of the energy balance of a leaf and its effects on a plant’s responses to the environment. The chapter finishes with a description of the adaptation of plants to extreme high and low temperatures. Molecular responses of plants at extreme temperatures are discussed in Chap. 4.
9.1 Energy Balance of the Atmospheric Boundary Layer
The energy balance of plants is closely connected to processes in the atmosphere, particularly to its radiation balance and to physical transport processes, which are typically studied in meteorology (see textbooks by Lutgens et al. (2013), Stull (1988) and Wallace and Hobbs (2006)). However, the absorption of solar energy used for metabolic processes, as well as the conversion into heat fluxes and the link to water vapour fluxes, take place close to the ground, where climate conditions may largely deviate from the conditions in the free troposphere. Gregor Kraus (1911) was the first scientist to describe this phenomenon quantitatively on limestone sites near Würzburg, Germany, and thus founded a new discipline of micrometeorology (see textbooks by Jones (2014), Monson and Baldocchi (2014) and Oke and Christen (2015)). Thus, micrometeorology focuses on the boundary layer of the atmosphere—the zone near the Earth’s surface where the mean wind speed is reduced in comparison with the free airstream in the upper atmosphere.
The radiation balance of the atmosphere and the energy balance at the ground surface—the habitat of plants—are strongly dependent on the composition of the atmosphere and the optical properties of its constituents. While many trace gases and air pollutants (e.g. ozone, nitrous oxide, ammonia, methane) affect plant life, water vapour (Box 9.1), CO2 and O2 are the most important gases for a plant, highly relevant for its distribution, growth and fitness. Here, we will focus on the energy balance at ground level, linking radiation and sensible heat to water vapour and CO2 in the atmosphere. Note: By definition, an energy balance is balanced (i.e. set to zero), while an energy budget can be out of balance (i.e. it can be positive or negative, or at zero).
-
Absorption and reflection of short-wave radiation in the atmosphere, affecting the solar radiation reaching the Earth’s surface.
-
Absorption and emission of long-wave radiation.
-
Density of the atmosphere and atmospheric transport processes, including precipitation, depending on water vapour saturation.
-
Evaporation from the Earth's surface, depending on saturation deficit and on plant cover.
-
Transpiration of vegetation.
-
The thermal budget of the lower atmosphere by absorption and emission of long-wave radiation.
-
Photosynthesis, as one of the key ingredients in this process.
Box 9.1: Water Vapour in the Atmosphere
The chemical composition of the lower atmosphere consists of the following gases: about 78% N2, 21% O2, 1% Ar, 0.6–4% H2O, 0.040% (= 400 parts per million (ppm)) CO2, and further trace and noble gases of natural and anthropogenic origin. For exact data on the composition of air, see List (1971) and the Intergovernmental Panel on Climate Change (IPCC) 5th Assessment Report (2013). Here, we focus on water vapour as the most abundant greenhouse gas.
Water vapour pressure: The amount of water vapour that can be retained by the atmosphere, termed the saturation pressure (e o), depends on air temperature and air pressure. The pressure of the atmosphere without water vapour, p a, is derived from the measured pressure of the atmosphere, p, and the actual vapour pressure, e, as (p a = p − e). At a constant air pressure, the vapour pressure rises almost exponentially with temperature.
Humid air is lighter than dry air, as determined by the relationship between the molecular weights of H2O and the main constituent of air N2, which is 0.64 (18/28). Thus, mixing of water vapour into dry air displaces some of the heavier constituents (when pressure is kept constant) and thus reduces the mass of this air volume. Hence, humid air in the lower atmosphere rises until water vapour condenses when cooling off, thus forming dew or fog at the ground or clouds in the atmosphere. For the same reason, condensation droplets form on the ceilings of humid rooms or on the lids of Petri dishes. This corresponds to dew formation in ecosystems.

Dependence of saturation vapour pressure, e o, on temperature, T. γ psychrometric constant, D a saturation deficit of air, e actual vapour pressure of the atmosphere, e o(a) saturation vapour pressure at air temperature, e o(L) saturation vapour pressure at leaf temperature (where e o (measured in pascals) can be approximated as e o = 613.75 exp (17.502 T/(240.97 + T)) with T (in degrees Celsius)), T a air temperature, T d dew point temperature, T L leaf temperature, T w wet bulb temperature
-
Absolute humidity: c w = (2.17/T) e, unit: grams per cubic metre. (Note: The volume of air is temperature and pressure dependent.)
-
Relative humidity: h = e/e o, normally given as a percentage. (Note: At constant vapour pressure, this is dependent on T.)
-
Water vapour saturation deficit of the atmosphere: D a = (e o − e), unit: kilopascals (often shortened to VPD (vapour pressure deficit)). (Note: The value is dependent on temperature, since e o changes with T.)
-
Water vapour saturation deficit between leaf and atmosphere: D L = e o(L) − e, where e o(L) is the saturation vapour pressure at leaf temperature and e is the actual vapour pressure in the atmosphere; this term is important as the modifying driving force for transpiration in plants (often also abbreviated as VPD or—better—WSD (water saturation deficit)).
-
Dew point temperature: T d for e = e o (the temperature, T, at which condensation temperature is reached and therefore condensation begins). This temperature is used for highly precise measurements of e.
-
Wet bulb temperature: T w. This temperature is measured to determine the actual vapour pressure (with a psychrometer): e = e o(Tw) − γ(T a − T w), where γ (the psychrometric constant) is 66.1 Pa K−1 for a ventilated thermometer at 100 kPa air pressure and 20 °C.

Energy distribution and the incident radiation balance of the Earth. a Spectral distribution of short-wave incident solar radiation and long-wave thermal radiation of the Earth (Mitchell 1989). b Spectral absorption of incident radiation by gases in the atmosphere. Note that ozone absorbs short-wave radiation and ultraviolet light (UV), while CO2 absorbs in the long-wave range. In addition, CO, N2O and chlorofluorocarbons absorb emitted (outgoing) long-wave radiation (Mitchell 1989). c Energy balance of the Earth: transformation of incident radiation to thermal radiation at the ground surface and in the atmosphere. The percentages given are based on the average global solar incident radiation of 340 W m−2. (Modified from Wild et al. (2013) and Hartmann et al. (2013))
Long-wave radiation follows the Stefan–Boltzman law (Eq. 9.1):

However, atmospheric gases, particularly water vapour (H2O) and CO2, have the effect that part of the incoming solar radiation in the short-wave range is absorbed and reflected (Fig. 9.2b). Thus, the incoming short-wave radiation is limited to a narrow radiation window, with a maximum in the visible range (0.4–0.7 μm). In addition, ultraviolet (UV) radiation of the short-wave spectrum is absorbed particularly by ozone. The emitted, outgoing long-wave radiation (far-infrared) is strongly absorbed by H2O vapour and CO2, making the Earth hospitable for life. However, CO2 and H2O have an absorption minimum (emission window) between 8 and 14 μm in wavelength, in which the Earth’s surface can lose thermal energy to space. However, with increasing greenhouse gas concentrations in the atmosphere, long-wave radiation is increasingly trapped in the Earth’s atmosphere, and global temperatures are rising (Chap. 21).
Energy balancea of the Earth (after Hartmann et al. 2013)
Input and processes contributing to radiation and energy balance |
Radiation (W m−2) |
Relative contribution [rounded] (%) |
|
---|---|---|---|
Radiation budget at top of atmosphere |
|||
Incident solar radiation (short-wave) |
I sA |
+340 |
100 |
– Reflection (short-wave) |
ρ sAI sA |
−100 |
−29 |
– From aerosols and clouds |
−76 |
22 |
|
– From land surface |
−24 |
7 |
|
– Emission (long-wave) |
I lA |
−240 |
−71 |
Net radiation budget at top of atmosphere |
R nA |
0 |
0 |
Radiation budget at ground surface |
|||
Incident solar radiation (short-wave) |
I sA |
+340 |
100 |
– Reflection (short-wave) |
ρ sAI sA |
−100 |
−29 |
– From aerosols and clouds |
−76 |
22 |
|
– From land surface |
−24 |
7 |
|
– Absorption in the atmosphere (short-wave) |
−79 |
−23 |
|
Net radiation input to ground (short-wave) |
I sG |
+161 |
+47 |
Emission from land surface (long-wave) |
I lG |
−398 |
−117 |
Radiation re-emitted to ground by clouds and atmosphere (long-wave) |
I lAtoG |
+342 |
+101 |
Net radiation budget at ground surface |
R nG |
105 |
31 |
Energy balance at ground surface |
|||
Net radiation budget at ground surface |
R nG |
105 |
31 |
Energy losses from ground surface |
|||
– By sensible heat (long-wave) |
H |
−20 |
−6 |
– By latent heat (evapotranspiration) |
λE |
−85 |
−25 |
Energy balance at ground surface |
ΦnG |
0 |
0 |

where R nA is the budget of radiation fluxes at the top of the atmosphere (Eq. 9.2). I sA is the short-wave incoming (incident) solar radiation at the upper boundary of the atmosphere (extraterrestrial global radiation), ρ sA is the ability of the atmosphere (clouds, gases) and the land surface to reflect incoming short-wave radiation, and I lA is the total long-wave emission from the atmosphere (clouds, gases) and the land surface. Thus, R nA can be calculated as 340 W m−2 minus 100 W m−2 minus 240 W m−2, resulting in 0 W m−2 at the top of the atmosphere.
The radiation budget at the ground surface may be expressed analogously. The “ground surface” is considered as the Earth’s surface, such as the soil surface or the top of a canopy. The net radiation budget at the Earth’s ground surface (R nG) is the sum of the net short-wave radiation input to the ground and the difference between outgoing long-wave emission from the land surface and back-radiation—that is, long-wave radiation re-emitted to the ground by clouds and the atmosphere (Eq. 9.3).

where R nG is the budget of the radiation fluxes at the ground surface. I sG is the net incoming short-wave radiation at the ground level, calculated as the difference between incident short-wave solar radiation (I sA), the short-wave radiation reflected by aerosols and clouds (ρ sAI sA), and the short-wave radiation absorbed in the atmosphere. This net short-wave radiation is also often just called light. I lG is the long-wave radiation emitted from the land surface, and I lAtoG is the long-wave radiation re-emitted to the ground by the clouds and the atmosphere, also called back-radiation. Thus, R nG can be calculated as 161 W m−2 minus 398 W m−2 plus 342 W m−2, resulting in 105 W m−2 at the ground surface. The net radiation budget, R nG, is measured with a radiometer with a polyethylene dome, which is also transparent to long-wave radiation.
Moreover, the energy balance at the ground surface (i.e. at the soil or canopy surface) also includes the heat fluxes into which the net radiation at the ground is dissipated, thus balancing the energy budget (Eq. 9.4).

where ΦnG is the energy balance at the ground surface (soil or canopy), and R nG is the net radiation budget at the ground surface. The sensible heat flux, H, is proportional to the specific heat capacity of air (c p = 1012 J kg−1 K−1) and the temperature difference ΔT between the ground surface and the atmosphere, ρ is the density of air: (1.1884 kg m−3 at 20 °C and 100 kPa of air pressure). H, the upward flux of sensible heat, is dependent on the coupling of the exchange from the surface to the atmosphere. This coupling is expressed by the boundary resistance for heat transfer, r b:

In Eq. 9.4, λE is the latent heat flux, whereby λ expresses the energy required for evaporation of water (2.454 MJ kg−1 at 20 °C) and E is the evaporation from the soil and the transpiration of vegetation (kg m−2 s−1). Furthermore, ΦnG also includes the soil heat flux—that is, the downward-oriented sensible heat flux, G (omitted in Table 9.1 because of its negligible magnitude at global level). Energy used in metabolism (M) is very small in comparison with all other energy balance components and thus is most often ignored (as in Table 9.1).

Global distribution of solar radiation and occurrence of frosts. a Solar radiation is given as short-wave incident radiation of the sun at the Earth’s surface. b Frosts are given as absolute minimum temperatures recorded. (Images by J. Kaplan)
About 342 W m−2 of the 398 W m−2 long-wave emissions from the Earth’s ground surface (I lG in Table 9.1) are re-emitted to the ground by clouds and the atmosphere (I lAtoG). This effect, also called the greenhouse effect, is due to clouds and trace gases and their effect on the outgoing long-wave radiation from the Earth. Water vapour, CO2, methane (CH4), nitrous oxide (N2O) and other trace gases such as ozone and anthropogenic chlorofluorocarbons (CFCs) absorb long-wave radiation (I lAtoG) and re-emit it towards the ground, affecting the temperature of the atmosphere of the Earth—that is, its climate (Stott et al. 2001). These trace gases are therefore called greenhouse gases. In particular, ozone and CFCs absorb exactly at the wavelength of the maximum long-wave emission by the Earth and are thus more effective than trace gases such as CO2, CH4 and N2O, which decrease the outgoing radiation at the edge of the absorption spectrum (Fig. 9.2b). Further details will be discussed in Part 5. Trace gases in the Earth’s atmosphere are to a certain extent analogous to the window glass of a greenhouse. As window or greenhouse glass is more permeable to short-wave radiation than to long-wave radiation, short-wave radiation passes through the window glass without resistance and is absorbed by the atmosphere and ground surfaces inside the greenhouse, leading to heating of this volume. At the same time, long-wave radiation is emitted at the temperature of this absorbing volume, but this long-wave radiation cannot pass through the glass. It is thus “trapped” in the greenhouse. As a consequence, the temperature in the greenhouse further increases by heat conduction from the absorbing surfaces, since energy enters (as short-wave radiation) but does not exit (as long-wave radiation). However, the greenhouse effect in a greenhouse is intensified in comparison with the Earth’s greenhouse gas effect, since convective transport of the heated air masses is prevented in a closed greenhouse but is possible in the environment outside confined buildings.
9.2 Microclimate Near the Ground Surface
9.2.1 Daily Changes in Temperature Near the Ground

Daily course of temperature. Above- and below-ground diurnal temperature profiles over bare ground during the course of a day. (After Gates (1965))
At midnight: The long-wave radiation budget is characterised by high outgoing radiation and low incoming radiation fluxes, which substantially cool the Earth’s surface. The negative radiation budget is partially compensated by heat conduction from the soil and by low heat exchange (via convection due to wind) with the air layers near the soil surface. Formation of dew and hoar frost may partially compensate this effect owing to heat released during condensation and freezing. During a cloud-free night, temperatures near the ground may fall more than 10 K below the temperature of the atmosphere 2 m above the ground. In the soil, the temperature increases with depth, reaching a time-lagged temperature minimum well after midnight, just before sunrise. At greater depths, the mean temperatures are almost constant (Scheffer 2002). This night-time cooling can limit the distribution of plant species, particularly at sites where diel temperature differences (i.e. over 24 h) can be very large—for example, at alpine elevations or in semi-deserts and deserts.
At sunrise: Incoming solar radiation quickly compensates outgoing net long-wave radiation from the soil surface. Because of the net emission to the atmosphere at night (see above) and the heat transfer into the soil, soil temperatures initially still decrease with depth during the early morning before they rise quickly at shallow depths, driven by air temperature changes, while they approach the mean temperatures of the season at greater soil depths.
At midday: Temperatures at the ground may rise up to 20 K above air temperatures measured 2 m above the ground. Heat transfer is via convection (heating of the atmosphere and development of turbulence) and heat conductance into the soil. The temperature decreases with soil depth and still shows a minimum dependent on the previous night, before reaching the mean temperature of the season at greater depth. These potentially very high temperatures during the day may impair plant regeneration at open sites—for example, after a clear-cut, in a natural forest gap or right after sowing at arable sites.
At sunset: The soil surface temperature decreases with the decreasing incoming radiation, but the temperature within the soil still rises because of the heatwave reaching the deeper soil with a time lag.
9.2.2 Modification of Environmental Radiation and Temperature by Abiotic Factors
Daily variations of temperature at the soil surface and average annual temperatures are affected by the soil conditions and site exposure (Chap. 18).
Heat conductivity and heat storage in soil: Dry soils have low heat conductivity and warm substantially faster at the surface during the day, because of incoming short-wave solar radiation, and cool greatly during the night, as the incoming (re-emitted) long-wave radiation is mainly balanced by the outgoing long-wave radiation from the soil. Moreover, in dry soils, heat exchange is limited to a small volume. On limestone near Würzburg, Germany, maximum surface temperatures of 60 °C have been measured (Kraus 1911). In contrast, wet soils have high heat conductivity and heat capacity, and thus lower daily amplitudes of temperature. Because of the higher evaporation and thus larger evaporative cooling effects on wet soils, their annual average temperatures are lower than those of dry soils.
Optical characteristics of surfaces: Absorption of incoming radiation is increased on black surfaces of rock or humus; reflection is increased on white mineral soils and with snow cover. With black organic cover, soil surface temperatures of more than 50 °C have been observed even in alpine climates. On organic soil exposed to the sun, the temperature tolerance of seedlings is often exceeded (e.g. beech seedlings are damaged at the soil surface and collapse).

Impact of slopes on incident solar radiation. a Influence of the orientation of a slope on the potential incident radiation (excluding clouds) at 55° latitude (after Jones (2014)). b Subalpine vegetation (2500–3000 m above standard zero) in the northerly Fergana mountain range (41°N in Sari Chilek, Kyrgyzstan) with a differentiation of the vegetation on the north- and south-facing slopes: Picea schrenkiana on the north slope, meadows on the south slope. The shrub vegetation (Rosa, Lonicera, Berberis) of the valley is a consequence of the increased snow and soil moisture. (Photo: E.-D. Schulze)
Depth and moisture of soil profile: Temperatures are much more constant within the soil than at the soil surface (see above). Depending on soil moisture, which determines the soil heat capacity, there is a clear seasonal shift of changes in soil temperature in comparison with air temperatures, with soils being generally cooler than the air during spring and early summer but warmer in autumn and early winter.
9.2.3 Modification of the Radiation Budget and Temperature by Biotic Factors
The radiation climate and temperature at the soil surface are highly affected by the vegetation cover.
Radiation reflection: The vegetation type determines its reflection. The reflection coefficient varies between 20% (e.g. for birch forests) and 12% for conifers. The low reflection of conifer forests affects the climate at the limit of boreal forests; more radiant energy is absorbed and thus more energy is kept as heat in the stand than in forest-free areas. The occurrence of evergreen conifers at high latitudes may thus accelerate a shift of the conifer treeline to the north. However, the effect is compensated by the shading of the forest floor by the evergreen canopy, which delays the snowmelt in spring and thus shortens the growing season.

Relationships of the stand leaf area index (LAI) and light attenuation. a Reduction of photosynthetically active radiation (PAR) with an increasing LAI for herbs (rather horizontal leaf position, extinction coefficient k = 0.7), deciduous forests, wheat field and grass meadows (vertical leaf position, extinction coefficient k ≤ 0.5) (after Larcher (2003)). b Relative reduction of the light intensity of near-infrared light (near-IR), the net radiation budget (Eq. 9.2; incoming short-wave radiation minus short-wave reflection minus long-wave emission) and PAR (400–700 nm) with an increasing LAI in a wheat crop. (Jones 2014)

Effect of vegetation on snowmelt. This is a typical phenomenon during winter when snow around vegetation—here, a pine trees in Siberia (Photo: E.-D. Schulze) and b grasses in Switzerland. (Photo: N. Buchmann)—melts much faster (because of radiation absorption by plant tissues and heat conductance along the stem) than the continuous snow cover


Microclimate within vegetation stands. Energy transformation changes the meteorological variables during day and night a in a wheat field (Modified from Monteith and Unsworth (2013)) and b in a coniferous forest (measured by C. Rebmann). c CO2 concentration, e actual water vapour pressure, R n net radiation budget, T air temperature, u wind speed. During the day, absorbed radiation leads to a rise in temperature and an increase in water vapour pressure. The CO2 concentration is minimal at the height of the assimilating layer of leaves, particularly when turbulence is impaired (in the wheat field). The wind speed inside the canopy is strongly reduced. During the night, there is a net loss of energy. This leads to the minimum temperature at leaf height. The CO2 concentration is maximal at the soil surface because of high soil respiration fluxes and stable conditions (no wind). From the rise in the profile, the energy and mass balance can be calculated. Note the different absolute scales of the canopy profiles, presented here relative to the vegetation height

Coupling of forests to the atmosphere. Diel course of a CO2 concentrations at different canopy heights, b canopy CO2 gradient and c soil and air temperatures within an open riparian maple stand before new deciduous foliage emerges (Buchmann et al. 1996). The decrease in CO2 concentrations after sunrise, and particularly at midday, of up to 50 parts per million (ppm) CO2 is due to turbulent exchange with the overlying atmospheric boundary layer, not due to photosynthesis (with no new foliage present). With the heating of the atmosphere after sunrise, atmospheric air with low CO2 concentrations (around 365 ppm CO2 in 1994) is mixed with canopy air with comparably higher CO2 concentrations, which have built up during the night because of respiration of vegetation and the soil
In addition, canopy profiles vary with time on both daily and seasonal time scales. During the night, the gradients of temperature, humidity and CO2 concentration are reversed, reflecting different physiological processes at work (e.g. respiration instead of photosynthesis), as well as differences in the coupling of the vegetation to the overlying atmosphere (Fig. 9.8). Overall, differences in microclimate within canopies and among vegetation covers depend both on their physiological activity and on the roughness of their surfaces, and thus on the coupling to the atmosphere (Chap. 18).

Radiation budgets of a beech forest in spring and summer. a About 40% of the incident radiation reaches the forest floor in spring. About one third of the incident radiation is absorbed by the litter layer, which leads to a marked rise in temperature in the litter layer, thereby activating the spring geophytes and triggering organic matter mineralisation and thus nutrient supply. In summer, the leaf canopy absorbs about 80% of the incident radiation (for metabolic processes such as photosynthesis (1–2%), warming up, evapotranspiration, etc.) and less than 10% reaches the forest floor. Thus, the litter layer remains cool and damp (after Schulze (1982)). b Spring geophytes in a deciduous forest (close to Schweinfurt, Lower Franconia, Germany), with Anemone nemorosa. (Photo: E.-D. Schulze)
9.3 Energy Balance of Leaves

Energy budget of a leaf. Incident short-wave radiation (I sA) from the sun is reflected and absorbed in the atmosphere, resulting in a net short-wave radiation input to the ground and the leaf surfaces (I sG). The long-wave radiation (I lAtoG) re-emitted to the surfaces by clouds and the atmosphere, as well as long-wave radiation emitted from the ground (I lG), comprise the thermal radiation fluxes to which a leaf is subjected. The net radiation at the leaf surface is then dissipated into the latent heat flux (λE) from the leaf via evapotranspiration, into the sensible heat flux from the leaf (H) and into the energy used in leaf metabolism (M). Any change in heat storage in the leaf is ignored here
Since I sG represents the net radiation flux to a horizontally oriented surface, but leaves have different angles, the leaf orientation has to be taken into account when describing the short-wave incoming radiation at leaf level I L (Eq. 9.7):

The energy balance of a leaf, Φnleaf, can then be estimated, taking into account the net radiation budget at leaf height, R nL (defining “ground surface” as the leaf surface; Eq. 9.3), as well as sensible and latent heat fluxes (H and λE, respectively), energy used in metabolism (M) and the change in heat storage in the leaf (S, often ignored; Eq. 9.8).


Ignoring the boundary layer of the leaf and assuming the leaf is well coupled to the atmosphere (Chap. 16, Sect. 16.1), the latent heat flux is proportional to the vapour pressure deficit between the leaf and the atmosphere (D L) and to stomatal conductance (g s):

-
Short-term (modulated) responses at the leaf level: changes of leaf angle, regulation of stomata and thus cooling by transpiration.
-
Modified responses at the plant individual level: changes in leaf size (e.g. slitting of banana leaves with high irradiation) and the LAI.
-
Evolutionary (genotypic) responses at the species level: changes in the spectral characteristics of the leaf—for example, hairs and pigment composition.
However, the leaf energy balance also shows that saving water (by reducing transpiration) leads to an increased heat flux, depending on the temperature difference between the exchanging leaf surface and the surrounding air. This in turn will lead to increased leaf temperatures and might impose temperature stress (Sect. 9.4 and Chap. 4).
9.4 Acclimation and Adaptation to Temperature Extremes
The temperature limit of plant resistance to temperature extremes is generally beyond the maximum and minimum temperatures as measured in their organs under natural conditions (Chap. 4). This difference between “normal” conditions and the limits of resistance is important, as temperatures depend on incident radiation and may fluctuate rather quickly. Temperature ranges for metabolism and tolerance limits should not be exceeded, even for a short time, to avoid damage. Seedlings are particularly vulnerable to extreme temperatures, as are organs in direct contact with their surrounding boundary layer. The sequence of life forms according to Raunkiaer (trees, shrubs, herbaceous plants, annuals and geophytes; Chap. 20), with dominance of trees in the tropical regions but herbaceous plants in the cold regions of the Earth, can nevertheless not be interpreted as adaptation to temperature. There are many additional factors promoting or suppressing the growth of trees. The coldest place on Earth with vegetation (−70 °C: Oimikon, in eastern Siberia) is dominated by extensive forests of Siberian larch, and in hot climates, trees grow if water is available (e.g. palm trees in an oasis). At well-drained sites in Siberia (Chertskii), the forests extend almost up to the Arctic Ocean. The tree limit in alpine and boreal regions is caused by other factors (growing season length, frost drought, anaerobic conditions in the bogs of the tundra, fire).
Often, habitat limitation for plants is a consequence of temperature and water conditions. One example of such distribution limits is the deciduous beech (Fagus sylvatica). At the eastern borders, beech distribution is limited by the resistance of buds to the winter cold. The northern and western limits are caused by late frosts, which may damage young leaves, while the southern limit is due to drought. Moreover, “death from cold” or “death from heat” might often not be distinguishable from “death from drought” under field conditions (Chaps. 6 and 10). Nevertheless, there are many possible means of adaptation. The following examples may represent also many other species and situations.
9.4.1 Acclimation and Adaptation to High Temperatures
-
Changes of leaf surface (wax, hair): The genus Encelia comprises several species characterised by variable densities of epidermal hairs (Fig. 9.12) (Jones 2014). These hairs reflect the incoming energy to different degrees (Ehleringer 1980), thus increasing survival, although at a large carbon cost (up to 70% of the annual C uptake).
-
Change in leaf size: In habitats with high solar radiation, species often build smaller leaves (microphylly) (Fig. 9.13). In response to radiation stress, the same plant individual may produce small sun leaves and large shade leaves (Smith 1978). A famous exception to this rule, and therefore a clear example for adaptation, is Welwitschia mirabilis of the Namib Desert. It forms only two very large leaves, which may be up to 3 m long and 1 m wide, despite the high incoming radiation. Here, the leaf temperature is regulated by convection and long-wave radiation from the cooler soil (Schulze et al. 1980).
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Changes in leaf angle: For some plant species, particularly in the Fabaceae family, movement of the leaf plays an important role; the leaf blade moves either towards the sun to obtain maximum photon flux, or away from the incoming radiation to minimise absorption (Fig. 9.14). Classical examples are the cow pea (Vigna unguiculata) and the purple bush bean (Macroptilium purpureum). They turn their leaves to the sun or away from it, depending on the water supply. In extreme cases, they turn their leaves so that the leaf does not cast a shadow (Shakel and Hall 1979). This leaf movement changes the leaf temperature and thus the vapour pressure gradient between the leaf and the surrounding atmosphere. This in turn affects transpiration (Eq. 9.11) and thus the water relations of the plant. However, even without leaf movement, the leaf angle is an important factor in the energy balance of vegetation (Chap. 3). The hanging leaves of Eucalyptus are well known, resulting in eucalypt forests hardly creating any shadow.
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Changes of transpiration. Citrullus colocynthis is a pumpkin, which grows near the ground in desert regions of North Africa (Lange 1959). The intact leaf transpires heavily and may have a temperature of about 40 °C when the surrounding temperature of the air layer near the ground is about 53 °C (Fig. 9.15) (Larcher 2003). This is the greatest transpirational cooling that has been measured in the field. If the leaf is cut off (abscised) and thus prevented from transpiring, its temperature rises to more than 60 °C and thus exceeds the upper limit for temperature tolerance, which is around 46 °C for this plant species (Chap. 4). However, transpirational cooling can result in leaf temperatures being lower than air temperatures only at rather high air temperatures and low relative humidities, rH (e.g. at an air temperature >22 °C and an rH value of about 30%, or at 33 °C and an rH of 60%) (Jones 2014). Irrespective of the special situation of transpirational cooling below air temperature, transpiration always reduces the temperature below the level of a non-transpiring surface.
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Shading: In a free-standing tree, branches and leaves protect the stem from direct radiation. This applies particularly to subtropical dry regions, where (e.g. in Acacia reficiens) the broad canopy shades the base of the stem (Fig. 9.16). Alternatively, there is also “antenna growth” (Acacia mellifera), where shoots extend high up, as far as possible, out of the hot air layer near the ground. However, in this case, the hypocotyl still requires protection from radiation. Even in a temperate forest, gaps exist where high temperatures may occur around stems, causing damage (e.g. sunburn on beech stems in the leafless state). Thus, while having leaves or needles is a clear benefit in terms of shading (i.e. lowering temperatures within a stand), there is also a drawback of shading (i.e. preventing radiation from penetrating deep into a canopy and warming the ground, which is particularly disadvantageous in boreal and alpine climates) (Fig. 9.10).

Changes of leaf surfaces to adapt to high temperatures. a Effect of leaf hairs on radiation absorption of plants of three species of the genus Encelia. With increasing numbers of hairs on the surface, leaves absorb less and less radiation in the visible range. While green Encelia californica occurs in coastal regions or where there is a good water supply, Encelia farinosa, with white leaves, grows on dry slopes and in the Sonoran Desert (after Ehleringer (1980)). b Encelia farinosa in the Sonoran Desert, south Nevada. (Photo: E.-D. Schulze)

Leaf morphology of plants growing in the Namib Desert: a Pinnate leaves: Acacia detinens (Mimosaceae); b Small leaves: Boscia foetida (Capparidaceae); c Large leaves: Welwitschia mirabilis (Welwitschiaceae); d Photosynthetically active shoots: Acanthosicyos horrida (Curcurbitaceae). (Photos: E.-D. Schulze)

Changes of leaf angles to acclimate to high temperatures. a Daily movement of a leaf with changes in the incident radiation (calculated for 50°N): a vertical to the incident radiation and tracking the sun during the day (e.g. beans); b fixed horizontal position (e.g. clover); c constant vertical position to the south or to the north (e.g. Lactuca seriola); d parallel to the incident radiation in the later afternoon (water-stressed Vigna unguiculata (from Jones (2014); Vigna: from Shakel and Hall (1979)). b Macroptilium purpureum (Leguminosae), a cultivar of Australian pastures, in a time of good water availability with leaves that follow the sun. c During drought, Macroptilium leaves are parallel to the sun and have no shadow (experimental farm, Narryen, Queensland, Australia). (Photo: E.-D. Schulze)

Changes of leaf transpiration to acclimate to high temperatures. a Changes over 24 h in leaf temperature of Citrullus colocynthis in North Africa (Lange 1959). In natural conditions, a strongly transpiring leaf has a temperature about 12 °C below that of the air temperature. Cut the leaf off, and the temperature rises 10 °C above the air temperature because of the loss of the cooling effect of transpiration. The limit of heat tolerance for Citrullus is about 46 °C, so the cooling effect of transpiration prevents death by overheating. b Wild Citrullus colocynthis, Omaruru, Namibia. It can be clearly seen that the edges of the feathery leaves roll up at midday and also position themselves facing the sun, and so minimise the incident radiation absorbed—that is, they have reduced their shadow. (Photo: E.-D. Schulze)

Shading in habitats with high temperatures. a Shading of the trunk by the umbrella-like crown of Acacia reficiens (near Uis, Namibia). The protection of the base of the trunk is a common phenomenon in subtropical savannas. Light sensitive, shrubby dicotyledonous plants colonise the shade area surrounding the trunk, whereas the shrub-free area is colonised by C4 grasses with vertical leaves. b “Antenna” growth of Acacia mellifera (near Khorixas, Namibia), which avoids high temperatures close to the ground by tall slender stems. The hypocotyl remains protected by dense, shrub-like sprouts close to the ground. In both cases, weaver birds nest only in the cooler upper layer of the tree crown. (Photos: E.-D. Schulze)
9.4.2 Acclimation and Adaptation to Low Temperatures
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Rosette plants in alpine climates use the warming of the soil below the rosette and the more favourable conditions on slopes. Similarly, cushion plants and so-called thorny cushions provide their own internal climates, temperature and humidity, because they minimise the surface area, and thus outgoing long-wave radiation, due to their spherical form. Branches emerging from the surface experience less favourable conditions and thus stop growth (Chap. 10). This often leads to thorny short shoots at the surface.
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Leaf inclination: The angle of the leaf (or the angle of the bud) determines not only the reflection and absorption of short-wave radiation, but also the long-wave radiation flux of a leaf, particularly during the night.
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Bud scales are a morphological adaptation for changing the radiation balance. They raise the surface from which energy is re-radiated away from the bud meristem. Because of the low heat and water vapour conductances of the scales, this protects the bud not only against cold but also against drying out (Chap. 6). In addition, the bud is a round surface, not a flat surface, thus minimizing the surface for heat loss to the atmosphere.
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Heat storage: In tropical alpine regions, the length of night frosts is limited and the days are warm. Species of Lobelia have a large store of free water, and this provides sufficient heat capacity so the growing point does not freeze (Chap. 4).
9.5 Summary
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The temperature of the Earth results from an equilibrium between short-wave solar radiation and long-wave emissions. The short-wave radiation reaching the Earth’s surface is in the visible light range. Solar radiation is reduced by cloud cover and by biogenic or anthropogenic aerosols and gases in the atmosphere. Long-wave thermal emissions occur in a long-wave “window” where water vapour, CO2 and other trace gases have an absorption minimum. This emission window is increasingly being closed by rising concentrations of anthropogenic trace gases (called greenhouse gases), especially chlorofluorocarbons, ozone, methane, nitrous oxide and CO2. As a result, the Earth’s temperature has increased with anthropogenic use of fossil fuels since industrialisation.
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Climate close to the ground differs by about −10 to +20 K from measurements 2 m above the ground, where climatic variables are measured to determine meteorological climate. At the ground, the radiation budget is closely linked to the energy balance, including latent and sensible fluxes. Thus, vegetation not only is affected by climate but also feeds back on climate. The microclimate the vegetation experiences is a result of gas exchange and canopy structure, interacting with the overlying atmosphere—for example, in terms of atmospheric turbulence and solar radiation. Vegetation can affect the amount of incident radiation that is absorbed through the leaf area index (LAI), depending on the available visible light and leaf inclination. The LAI changes with the season and determines the type of vegetation on the forest floor. Temporal variations of climate variables within canopies are much smaller than over bare ground.
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Temperature regulation of plants is possible within certain limits—for example, by changing the leaf inclination, leaf size, reflection, surface area, transpiration, and insulation. These aspects determine a leaf’s energy balance and thus helping to avoid heat and cold stress. Structural modifications and regulation of transpiration via stomatal opening are usually sufficient to keep the temperature of the plant within the physiologically tolerable range. The critical period for a plant is germination and seedling establishment. Although global vegetation models use—to a large extent—temperature as the major factor determining plant distribution (Chap. 4), other factors (salt stress, drought, fire, length of vegetation periods, imbalance between temperatures in the soil and in the atmosphere, drought because of freezing) limit species distributions as well and should not be ignored (Part 5, Chap. 21).
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Temperature acclimation and adaptation of plants include changes in leaf position (direction of organs as energy-absorbing and energy-emitting surfaces) and the LAI (shading), leaf size and surface properties (avoidance of the laminar boundary layer and regulation of the sensible heat flux, waxes, hairs), insulation (bud scales, bark) and evapotranspiration (regulation of the latent heat flux). Heat dissipation and storage of heat have an additional function under particular climatic conditions (tropical alpine rosette plants, cacti). Similarly, warming by increased respiration is important under special conditions (flower spadices of Araceae).