The model described in this paper, the three-dimensional model for the interaction of plants and soil (3DMIPS), was developed to explore how the growth and competitive ability of plants is affected by the interactions between the size and scaling properties of their root systems and the spatial properties of the resources they consume. The main characteristics of the model are as follows. (1) The soil model simulates the spatiotemporal dynamics of temperature, water and solutes (nutrients) in a heterogeneous, 3-dimensional (3-D) soil profile. (2) The plant model has a 3-D simulation of root architecture and plasticity (the ability of certain plants to redirect root growth to areas with high soil nutrient concentration). Plant root architecture is a key component in the simulation of plant nutrient uptake and transpiration. (3) The model simulates the spatiotemporal dynamics of live root, dead root, live shoot, standing dead, and litter biomass and nutrients of individual plants. It simulates the translocation of biomass and nutrients between roots and shoots as a function of plant growth, nutrient uptake, defoliation, regrowth, senescence, and changes in environmental condition. The author presents two set of simulation results. The first set consist of model validation experiments where the author compares model results with data from experiments designed to test the model's ability to predict plant growth and competition in a heterogeneous soil nutrient environment. Model and experimental results were statistically similar in 297 of the 408 variables analyzed. Experimental and modeled variables that were statistically different, were nevertheless highly correlated, with the difference between model and experimental results averaging ±28%. The second set of simulations was designed to assess how plant growth can be affected by an interaction between root lateral spread and the supply rate and spatial distribution of soil nutrients. Results showed that the competitive ability, distribution, and performance of plants could be linked in part to interactions among the size, uptake rates, and scaling properties of their root systems and the supply rate and spatial distribution of the nutrients they utilize. Comparisons are made with the SPUR, PHOENIX, CENTURY, and GEM grassland models. Computer codes and instructions for the implementation of 3DMIPS are available from the author.
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