The challenge of our generation is to produce enough food to feed the present and future global population. This is no simple task, as the world population is expanding and becoming more affluent, and conventional agriculture often degrades the environment. Without a healthy and functional environment, agriculture as we know it will fail. Therefore, we must equally balance our broad goals of sustainability and food production as a single system. Multi-objective optimization, algorithms that search for solutions to complex problems that contain conflicting objectives, is an effective tool for balancing these two goals. In this dissertation, we apply multi-objective optimization to find optimal management practices for irrigating and fertilizing corn. There are two areas for improvement in multi-objective optimization of corn management: existing methods run burdensomely slow and do not account for the uncertainty of weather. Improving run-time and optimizing in the face of weather uncertainty are the two goals of this dissertation. We address these goals with four novel methodologies that advance the fields of biosystems & agricultural engineering, as well as computer science engineering.In the first study, we address the first goal by drastically improving the performance of evolutionary multi-objective algorithms for sparse large-scale optimization problems. Sparse optimization, such as irrigation and nutrient management, are problems whose optimal solutions are mostly zero. Our novel algorithm, called sparse population sampling (SPS), integrates with and improves all population-based algorithms over almost all test scenarios. SPS, when used with NSGA-II, was able to outperform the existing state-of-the-art algorithms with the most complex of sparse large-scale optimization problems (i.e., 2,500 or more decision variables). The second study addressed the second goal by optimizing common management practices in a study site in Cass County, Michigan, for all climate scenarios. This methodology, which relied on SPS from the first goal, implements the concept of innovization in agriculture. In our innovization framework, 30 years of management practices were optimized against observed weather data, which in turn was compared to common practices in Cass County, Michigan. The differences between the optimal solutions and common practices were transformed into simple recommendations for farmers to apply during future growing seasons. Our recommendations drastically increased yields under 420 validation scenarios with no impact on nitrogen leaching.The third study further improves the performance of sparse large-scale optimization. Where SPS was a single component of a population-based algorithm, our proposed method, S-NSGA-II, is a novel and complete evolutionary algorithm for sparse large-scale optimization problems. Our algorithm outperforms or performs as well as other contemporary sparse large-scale optimization algorithms, especially in problems with more than 800 decision variables. This enhanced convergence will further improve multi-objective optimization in agriculture. Our final study, which addresses the second goal, takes a different approach to optimizing agricultural systems in the face of climate uncertainty. In this study, we use stochastic weather to quantify risk in optimization. In this way, farmers can choose between optimal management decisions with full understanding of the risks involved in every management decision.
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