Transcript Slide 1

Biophysical Ecology
An engineer’s view of the
thermal environment
Temperature of the Potentilla varies greatly within the plant, and
is mostly higher than air temperature.
A Physics review
1. Stefans Law
E
4
=
AεσT
lost
where
T = absolute temperature (degrees Kelvin)
ε = emissivity,
σ = Stefan-Boltzmann constant
A = surface area
2. Kirchoff’s Law
Absorptivity = emissivity for a given wavelength of radiation
3. Wein Displacement Law
λmax = c / T
The temperature of an object is a consequence of the balance
between energy absorbed and energy lost.
Energy Balance Equation
Esolar + Emetab =
Ethermal ± Econd ± Econv ± Eevap - Ephotos ± Estor
Direct solar + skylight + reradiation from environment
+ reflected solar radiation + Metabolism =
Reradiation +/- Convection +/- Conduction +
Evaporation +/- Storage
Qabs =
ASaSS + (AT/2)ass
+ (AT/2)agrgS + (AT/2)asgrgs
+ (AT/2)aT εσTg4 + (AT/2)aT εsσTs4
Why do turtles bask? The same reason you do!
Compass plants of the prairies orient their leaves so that
the broad surfaces face east and west.
Colias butterfly species in
the Rocky Mountains have
wing pigmentation that
varies with elevation.
3300-3600m, 27002900m, 1500-1700m. The
region of the wings
nearest the body make
the greatest contribution
to body temperature.
Absorptive versus
reflectance basking in
butterflies.
Pieris butterflies
are reflectance
baskers. The
butterflies on the
left hold wings in
a broad V whereas
the butterflies on
the left hold
winds in a narrow
V.
Why are arctic animals often white?
Conduction
C = (K/d )(T1-T2)
Convection
Free: C = hc[Ts-Ta]
Laminar: C = k(Vm/Dn)(Ts-Ta)
V = velocity, D = Dimension
The turkey oak of the Carolina sandhills has
deeply dissected leaves, and holds those
leaves at a 90 degree angle to the sky, both
adaptations to reduce heat load.
Ear size in rabbits varies
with the thermal
environment. Compare the
pica of the alpine with the
jackrabbit of the desert.
Evaporation
E = L ( sρiTi – sρaTa rh) / R
Figure 2.9
Desert plants have many adaptations to the thermal
environment. Note especially the limited leave
surface area visible in this photograph.
In high-elevation
tropical habitats
annual temperature
variation is low and
daily variation is
high. Plants in
these habitats
often have
conspicuously furry
leaves.