A Memoir on Mathematical Models of Crop Growth and Yield - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Memoir on Mathematical Models of Crop Growth and Yield write by Allen R. Overman. This book was released on 2008. A Memoir on Mathematical Models of Crop Growth and Yield available in PDF, EPUB and Kindle. This memoir is the eighth in a series related to Mathematical Models of Crop Growth and Yield. The series focuses on ideas which have been found useful in describing crop response to applied nutrients (N, P, and K) and accumulation of biomass and mineral elements with calendar time. No attempt has been made to survey the broad field of crop modeling. Results have evolved out of work with farmers and engineers over a period of nearly forty years. There has been extensive collaboration with other scientists in Florida as well as other regions within the USA. Analysis has been drawn from the large array of data from research conducted around the world over 150 years. While basic concepts from physics, chemistry, and biology have been incorporated, the models have been developed at the field scale for the sake of application. Methods of applied malthematics and statistics have been utilized to provide a more rigorous foundation to the models. Procedures from regression and analysis of variance have been borrowed from statistics. In fact this is the focus of the present memoir. As often occurs in research, the question is how to analyze a complex set of data. For example, response of biomass and mineral uptake to applied nutrients (N, P, and K) where some other management factor (such as intercropping) is varied as well. Is it appropriate to average over the response variables? Are there some parameters in the model which are common among different management factors? One can make such judgments based either on visual inspection of data or on statistical analysis. The goal is to simplify the analysis as much as can be justified. Throughout this analysis analytical functions have been used, in contrast to numerical procedures. A particular set of data for response of corn (Zea mays L.) to applied N, P, and K is used to illustrate the analytical procedures. The extended logistic model describes the data rather well. Coupling of biomass yield and plant N uptake is achieved with a hyperbolic phase relation. The memoir contains 36 pages, including 19 references, 21 tables, and 11 figures.
Mathematical Models of Crop Growth and Yield
Mathematical Models of Crop Growth and Yield - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Models of Crop Growth and Yield write by Allen R. Overman. This book was released on 2002-08-27. Mathematical Models of Crop Growth and Yield available in PDF, EPUB and Kindle. Highlighting effective, analytical functions that have been found useful for the comparison of alternative management techniques to maximize water and nutrient resources, this reference describes the application of viable mathematical models in data analysis to increase crop growth and yields. Featuring solutions to various differential equations,
A Memoir on Mathematical Models of Crop Growth and Yield
A Memoir on Mathematical Models of Crop Growth and Yield - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Memoir on Mathematical Models of Crop Growth and Yield write by Allen R. Overman. This book was released on 2007. A Memoir on Mathematical Models of Crop Growth and Yield available in PDF, EPUB and Kindle. Two mathematical models have been developed to couple plant biomass and mineral elements (N, P, and K). Both models use analytical functions (in contrast to numerical procedures). The growth model describes accumulation of biomass with calendar time due to photosynthesis. It contains a linear partition function between light-gathering and structural plant components, an exponential aging function, and a Gaussian energy driving function. Accumulation of plant nutrients is coupled to biomass through a hyperbolic phase relation. Accumulation of biomass appears to be the rate limiting process in the system. The seasonal model assumes logistic dependence of plant nutrient accumulation on applied nutrient. Biomass is coupled to plant nutrient through a hyperbolic relation. The model has been extended to cover response to multiple levels of N, P, and K. Both models have been shown to apply to annuals and perennial grasses. In this document the models are applied to a variety of examples to further confirm the general applicability. Data from the literature are used extensively.
A Memoir on Mathematical Models of Crop Growth and Yield
A Memoir on Mathematical Models of Crop Growth and Yield - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Memoir on Mathematical Models of Crop Growth and Yield write by Allen R. Overman. This book was released on 2008. A Memoir on Mathematical Models of Crop Growth and Yield available in PDF, EPUB and Kindle. Two mathematical models have been developed to couple plant biomass and mineral elements (N, P, and K). Both models use analytical functions (in contrast to numerical procedures). The growth model describes accumulation of biomass with calendar time due to photosynthesis. It contains a linear partition function between light-gathering and structural plant components, an exponential aging function, and a Gaussian energy driving function. Accumulation of plant nutrients is coupled to biomass through a hyperbolic phase relation. Accumulation of biomass appears to be the rate limiting process in the system. The seasonal model assumes logistic dependence of plant nutrient accumulation on applied nutrient. Biomass is coupled to plant nutrient through a hyperbolic relation. The model has been extended to cover response to multiple levels of N, P, and K. Both models have been shown to apply to annuals and perennial grasses. In this document the models are applied to field studies from several geographic locations and planting times to clarify values of model parameters. The phase relations for the growth model imply that biomass accumulation by photosynthesis is the rate limiting process in the field studies which have been analyzed, and that accumulation of mineral elements proceeds in virtual equilibrium.
Modeling Physiology of Crop Development, Growth and Yield
Modeling Physiology of Crop Development, Growth and Yield - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modeling Physiology of Crop Development, Growth and Yield write by Afshin Soltani. This book was released on 2012-01-01. Modeling Physiology of Crop Development, Growth and Yield available in PDF, EPUB and Kindle. Model studies focus experimental investigations to improve our understanding and performance of systems. Concentrating on crop modelling, this book provides an introduction to the concepts of crop development, growth, and yield, with step-by-step outlines to each topic, suggested exercises and simple equations. A valuable text for students and researchers of crop development alike, this book is written in five parts that allow the reader to develop a solid foundation and coverage of production models including water- and nitrogen-limited systems.
