Abstract
Previous experimental results show that planting spacing has significant effects on root distribution and soil suction (negative pore water pressure) due to inter-plant competition. However, there is a lack of theoretical study on this aspect. This study proposes a new physically based mathematical model to capture planting spacing effects on root growth and soil suction considering three key factors, namely hydrotropism, soil mechanical impedance and inter-plant competition. The model is mainly composed of four parts: (i) extension of root zone front; (ii) increase in root density; (iii) root water uptake and (iv) water flow in soil matrix. Root growth and root water uptake are fully coupled. In order to validate the model, laboratory and field tests were conducted on one tree (Schefflera heptaphylla) and one shrub species (Schefflera arboricola), respectively, with different planting spacings. Even though the investigated tree and shrub species had different values of leaf area index and root length density, consistent conclusions on planting spacing effects can be drawn. When planting spacing became smaller, the size of root system decreased while root density increased, hence causing higher soil suction. The model can capture the root distributions as well as induced soil suction during both evapotranspiration and rainfall events quite well for both tree and shrub species.
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