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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 Stefans Law E lost = AεσT 4 where T = absolute temperature (degrees Kelvin)
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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 • Stefans Law • E lost = AεσT4 • 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
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, 2700-2900m, 1500-1700m. The region of the wings nearest the body make the greatest contribution to body temperature.
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.
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
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.