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The general state vector linear model for sustainable ecodevelopment applied on illustrative basis to a sample valley village of Almora district

The present study attempts to develop a mathematical model for description of the village ecosystem within a larger perspective. However, on exemplary basis the application of the technique has been demonstrated for a sample valley village of Almora district with the hope that it should hold good for all other villages under almost similar natural and geographical conditions. The ecosystem has been defined with the help of distinct subsystems comprising spatial variables. Human resource, Household items, Land inventory, Farm machinery & implements, Energy consumption, Settlement and Livestock. Each subsystem has been further subdivided into distinct subsystems. Association or link between two or more entities has been defined with the help of entity-relationship of different types (one to one, one to many and many to one). The relationship of sustainable productivity with different state effective variables (inferences derived on the basis of different elementary quantification tools) have generated different set of equations during Rabi and Kharif seasons but with varying degree of efficiency. It has prompted us to apply assignment problem of linear programming in order to have the best assignment to attain the objectives of live together and guard together. Optimal solutions have been transmogrified into easily understandable terms. State of the system has been defined in terms of theoretical general state vector linear model and the empirically observed values have been compared with the theoretical values. The relative error values for different values of ‘t’ have made us to change the modeling parameter function by another polynomial function. This function has been also tested on computer by simulation process.