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Ruminant Nutrition System, Vol. II – Tables of Equations and Coding
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About the Book
This is Volume II of a two-volume set. Volume I is available here.
This book accompanies The Ruminant Nutrition System: Volume I – An Applied Model for Predicting Nutri-ent Requirements and Feed Utilization in Ruminants (RNS). It shows the equations and code used to implement the RNS model for use by advanced teaching courses and research by faculty and graduate stu-dents at the master or doctoral levels in life sciences, animal science, wildlife and fisheries sciences, vet-erinary medicine, and biology and zoology, as well as any others who wish to understand the execution of the RNS model.
Since we started writing the first edition of the Ruminant Nutrition System, we planned to include the computer model’s equations and the calculation logic. The book, however, quickly became a comprehen-sive document of the published research used to identify essential equations and variables for the under-lying calculation logic of the RNS model. It was a rich, dense source of information about the biology and nutrition of ruminants and the mathematical modeling concepts behind the computer model. As a result, we scattered the RNS model equations throughout the book, within the appropriate chapters containing the pertinent scientific discussions, making it difficult for the reader to reconstruct the computer model. Soon after the publication of the first edition of the book, readers wishing to see the RNS model equations, their linkages, the calculation logic, and how they were implemented into the computer software started requesting more details. To meet this need, we needed to produce a companion book focused on describ-ing the RNS model’s equations and code. Before releasing it to the public, however, we had to make sure that the equations accurately reflected the concepts (i.e., the validation step in mathematical modeling) delineated in the RNS’s Volume I.
The RNS’s Volume II – Tables of Equations and Code arose because of our commitment to document and disseminate the mathematics composing the RNS model clearly and in detail. Each part of Volume II presents the RNS model’s equations and the calculation logic in two ways. The first, more traditional approach lists the equations in a tabular form, including an equation number, the independent variable with its description, and a mathematical formulation (in the form of the equation) that follows a logical sequence for calculation and execution. The second approach embeds the equations into a modern, highly aggre-gated method of an actual computer programming language structure, the R script. This second approach presents the sequence and the calculation logic for the equations more systematically and coherently than the first approach for those wishing to understand how the RNS calculations were programmed.
More information is available at the authors’ website.
About the Authors
Luis Tedeschi is a professor in the Department of Animal Science at the Texas A&M University. He received his Bachelor of Science degree in Agronomy Engineering and Master of Science degree in Animal and Forage Sciences from the University of São Paulo (Piracicaba, Brazil), and his Doctor of Philosophy degree in Animal Science from Cornell University (Ithaca, NY). His research focuses on the integration of accumulated scientific knowledge of ruminant nutrition into mathematical models to solve contemporary problems. The nutrition models he has developed are being used to develop more efficient production systems while reducing resource use and impact on the environment. He has published more than 200 articles in peer-reviewed journals and book chapters, and presented at more than 80 modeling nutrition conferences and workshops worldwide. Tedeschi is a Texas A&M AgriLife Research Faculty Fellow and the recipient of the 2017 American Feed Industry Association in Ruminant Nutrition Research award. He has served on a committee at the 2016 National Research Council of The National Academies of Sciences, Engineering, and Medicine to revise the 1996 nutrient requirements for beef cattle.
Dr. Danny G. Fox is a professor emeritus of the Department of Animal Science at Cornell University. He received his Bachelor of Science, Master of Science, and Doctor of Philosophy degrees from The Ohio State University. His 35 years of research focused on the development of data, methods, models, and computer programs to accurately predict cattle nutrient requirements, as well as nutrients derived from feeds to meet cattle requirements in unique production situations worldwide. His team at Cornell developed the Cornell Net Carbohydrate and Protein System cattle nutrition model and software, which has users in more than 42 countries, for formulating rations for beef and dairy cattle. Fox has been a member of numerous national committees, including National Research Council committees on Animal Nutrition, Feed Intake, and the 1996 Nutrient Requirements of Beef Cattle. His growth and energy reserves models were adapted by both the 1996 Beef Cattle National Research Council committee and the 2001 Dairy Cattle National Research Council committee. He conducted many workshops on the use of these models in the United States, Canada, South America, and Europe.