Optimal weed population control using nonlinear programming

Abstract

A dynamic optimization model for weed infestation control using selective herbicide application in a corn crop system is presented. The seed bank density of the weed population and frequency of dominant or recessive alleles are taken as state variables of the growing cycle. The control variable is taken as the dose-response function. The goal is to reduce herbicide usage, maximize profit in a pre-determined period of time and minimize the environmental impacts caused by excessive use of herbicides. The dynamic optimization model takes into account the decreased herbicide efficacy over time due to weed resistance evolution caused by selective pressure. The dynamic optimization problem involves discrete variables modeled as a nonlinear programming (NLP) problem which was solved by an active set algorithm (ASA) for box-constrained optimization. Numerical simulations for a case study illustrate the management of the Bidens subalternans in a corn crop by selecting a sequence of only one type of herbicide. The results on optimal control discussed here will Communicated by Natasa Krejic.

Water Stress Affect Germination, Seed Vigor and Seedlings Growth of Bidens subalternans

“…Is a specie invasive highly competitive in annual and perennial crops, with great adaptability on farm soils, which is due to high seed production combined with dormancy mechanisms (Stiegelmeier, Oliveira, Silva, & Karam, 2015). In addition, the beggartick is an alternative host of pests and diseases (Moreira & Bragança, 2011).…”

Weed infestation control using a p-fuzzy model

“…The weed management aims to avoid losses due to competition, to benefit crop conditions, to avoid further infestation and to protect the environment. The main method of weed control is the use of herbicide (Stiegelmeier et al, 2017;Stiegelmeier et al, 2020). Conventionally, herbicides are uniformly applied to all parts of a farm even if there are no weeds in some certain parts of the farm (Bakhshipour & Zareiforoush, 2020).…”

Espaço E Forma: A Formação Do Pedagogo E a Legislação Para O Ensino De Geometria Nas Séries Iniciais Do Ensino Fundamental

“…Visando reduzir as perdas causadas pelas plantas daninhas e os impactos econômicos causados pelo uso de herbicidas diversas estratégias de controle têm sido propostas (JONES E CACHO, 2000;JONES et al, 2006;BERTOLUCCI et al, 2013;STIEGELMEIER et al, 2017). Em Jones e Cacho (2000) e Jones et al (2006) técnicas de programação dinâmicas são utilizadas para encontrar a estratégia ótima que maximiza o lucro em termos da aplicação de um único herbicida.…”

“…Em Bertolucci et al (2013) técnicas de programação dinâmicas são utilizadas para obter a estratégia ótima do problema de controle de plantas daninhas em face a resistência. Já em Stiegelmeier et al (2017) é proposto um modelo de otimização do manejo de plantas daninhas usando estratégias de programação não linear (PNL) considerando a dinâmica da resistência à herbicidas, resultados numéricos considerando o uso de dois herbicidas são comparados com o método tradicional de controle mostrando resultados promissores. O uso da estratégia de controle ótimo mostra que com a aplicação de doses reduzidas pode-se controlar o banco de sementes e, ainda, contribuem para a lucratividade do produtor.…”