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Faculty of Agriculture, Food and Natural Resources, The Univ. of Sydney, NSW 2006, Australia
* Corresponding author (d.field{at}usyd.edu.au).
RASMUSSEN ET AL. (2005) and Rasmussen and Tabor (2007) present a quantitative pedologic energy model for predicting soil properties across the USA. Their model calculated the energy expanded for soil genesis based on energy used in transfer of water, net primary production, and mineral weathering and in doing so have provided a quantitative approach of Runge's energy model. In this letter we would like to bring to the attention of the above authors that a quantitative energy model for soil formation had been proposed earlier by V.R. Volobuyev and detailed in his book, "Ecology of Soils" (Volobuyev, 1964). Volobuyev (1964, p. 174) defined the energy balance for soil formation as follows:
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Q is the energy involved in soil formation
w1 is the energy of physical rock weathering
w2 is the energy for chemical weathering
b1 is the energy accumulating in soil organic matter
b2 is the energy for soil organic matter transformation
i1 is the energy for evaporation from soil surface
i2 is the energy for transpiration
g is the energy losses in leaching of salts and fine materials
v is the energy expended by the process of heat exchange between the soil and atmosphere (usually negligible).
When identifying data that can be used to populate this model, Volobuyev (1964, p. 172–190) concentrated on energy parameters describing climate (i1, i2), production of biological material (b1, b2), and the weathering of parent material (w1, w2). These parameters share similarities with those identified in Rasmussen's et al. (2005) model. To populate the climate parameter, Volobuyev (1964, p. 174–176) develops a relationship estimating the amount of precipitation (R) relative to evaporation (En) and uses this to estimate expenditure of energy of total evaporation represented in Fig. 33 (Volobuyev, 1964, p. 176). The relationship is conditioned by the development of hydro- and thermo-sequences which describe the climatic areas of the main soil types on earth (Volobuyev, 1964, p. 94). Similarly, Rasmussen et al. (2005, p.1268) present an equation taking into account the relationship between precipitation and evaporation, which is conditioned using mean annual temperature (MAT).
Volobuyev (1964, p. 175) continues by developing his production of biological material relationship, which mirrors what Rasmussen et al. (2005, p. 1268–1269) names Net Primary Production (NPP). Similar to Rasmussen et al. (2005) in their use of Lieth's (1975) findings in NPP, Volobuyev (1964, p. 123–125) identifies the amount of organic matter produced in different ecosystem types (Table 22, p. 123–124) and relates this to his defined hydro- and thermo-sequences (Fig. 16, p. 125). Using a chemical equation of photosynthesis, Volobuyev (1964, p. 175) converts the amount of vegetative matter to energy, then relates this to his hydro- and thermo-sequences in Fig. 34 (p. 178), whereas Rasmussen et al. (2005) assign a single average energy value to each gram of dry matter input.
When considering weathering of parent material, Volobuyev (1964, p. 175–179) concentrates his efforts on knowing the energy required to decompose particular minerals and regulating this with the amount of water and range in temperatures, from which was developed the energy relationship expressed in Fig. 35 (p. 179). In the more recent treatment by Rasmussen et al. (2005), a parent material index is used to describe weathering susceptibility of a wide range of rock types.
The total energy for soil formation is calculated by summing energy for evapotranspiration, biomass production, and mineral weathering. We have converted Volobuyev's graph into SI units and present it in Fig. 1 . The soil forming energy is largely allocated to evapotranspiration (95–99.5% of total energy). The energy for biological processes is only 0.5–5% of the total energy. The energy for mineral weathering comprises only 0.01% of the total energy required for soil formation. Volobuyev (1964, p. 181) showed the energy of soil formation is variable for different climatic regions: in humid tropical wet areas, the annual energy is around 2000 MJ/m2, as compared with 40–100 MJ/m2 for tundras and 500 to 1000 MJ/m2 for forests and steppes. We note that the energy calculated by Volobuyev (1964) is one order of magnitude larger than that presented in Fig. 2 of Rasmussen et al. (2005) and Rasmussen and Tabor (2007).
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Received for publication December 11, 2007.
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