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Mathematical modelling is an essential tool in present-day ecological research. Yet for many ecologists it is still problematic to apply modelling in their research. In our experience, the major problem is at the conceptual level: proper understanding of what a model is, how ecological relations can be translated consistently into mathematical equations, how models are solved, steady states calculated and interpreted. Many textbooks jump over these conceptual hurdles to dive into detailed formulations or the mathematics of solution. This book attempts to fill that gap. It introduces essential concepts for mathematical modelling, explains the mathematics behind the methods, and helps readers ...
Mathematics plays an important role in many scientific and engineering disciplines. This book deals with the numerical solution of differential equations, a very important branch of mathematics. Our aim is to give a practical and theoretical account of how to solve a large variety of differential equations, comprising ordinary differential equations, initial value problems and boundary value problems, differential algebraic equations, partial differential equations and delay differential equations. The solution of differential equations using R is the main focus of this book. It is therefore intended for the practitioner, the student and the scientist, who wants to know how to use R for solv...
It is a well-known fact that eutrophication of coastal waters causes significant changes in the species composition of the primary producers. Usually a shift from an ecosystem dominated by sea grasses or large brown algae to an ecosystem dominated by fast-growing green algae or phytoplankton is observed. While this shift has been documented in a number of research papers and books, the consequences of this shift are less well known. This book focuses on the consequences of such changes for nutrient cycling. The aim is to investigate how different types of primary producers influence nutrient cycling in coastal marine waters, and how nutrient cycling changes qualitatively and quantitatively as a consequence of the changes in the primary producer community caused by eutrophication. The various chapters address specific ecological processes such as grazing, decomposition, burial and export of biomass from the ecosystem. The book is intended for researchers and professionals working in the field of coastal marine ecology and estuarine ecology and for advanced students in this field.
This book provides a complete guide for visualizing a data in 3 dimensions (3D) using R software. It contains 2 main parts and 7 chapters describing how to draw static and interactive 3D plots. - The chapter 1 is about data preparation for 3D plot - In chapter 2, we describe how to create easily basic static 3D scatter plots. We provide R codes for changing: 1) main and axis titles; 2) the appearance of the plot (point colors, labels and shapes, legend position, ...) - Chapter 3 presents how to create advanced static 3D plots including 3D scatter plots with confidence interval, 3D line plots, 3D texts, 3D barplots, 3D histograms and 3D arrows. - Chapter 4 describes the required package for d...
In multidisciplinary efforts to understand and manage our planet, contemporary ocean science plays an essential role. Volumes 13 and 14 of The Sea focus on two of the most important components in the field of ocean science today--the coastal ocean and its interactions with the deep sea, and coupled physical-biogeochemical and ecosystem dynamics.
Applied Mathematics with Open-source Software: Operational Research Problems with Python and R is aimed at a broad segment of readers who wish to learn how to use open-source software to solve problems in applied mathematics. The book has an innovative structure with 4 sections of two chapters covering a large range of applied mathematical techniques: probabilistic modelling, dynamical systems, emergent behaviour and optimisation. The pairs of chapters in each section demonstrate different families of solution approaches. Each chapter starts with a problem, gives an overview of the relevant theory, shows a solution approach in R and in Python, and finally gives wider context by including a n...
Civil wars are among the most difficult problems in world politics. While mediation, intervention, and peacekeeping have produced some positive results in helping to end civil wars, they fall short in preventing them in the first place. In Incentivizing Peace, Jaroslav Tir and Johannes Karreth show that considering civil wars from a developmental perspective presents opportunities to prevent the escalation of nascent armed conflicts into full-scale civil wars. The authors demonstrate that highly-structured intergovernmental organizations (IGOs such as the World Bank, IMF, or regional development banks) are particularly well-positioned to engage in civil war prevention. When such IGOs have been actively engaged in nations on the edge, their potent economic tools have helped to steer rebel-government interactions away from escalation and toward peaceful settlement. Incentivizing Peace provides enlightening case evidence that IGO participation is a key to better predicting, and thus preventing, the outbreak of civil war.
Instead of presenting the standard theoretical treatments that underlie the various numerical methods used by scientists and engineers, Using R for Numerical Analysis in Science and Engineering shows how to use R and its add-on packages to obtain numerical solutions to the complex mathematical problems commonly faced by scientists and engineers. This practical guide to the capabilities of R demonstrates Monte Carlo, stochastic, deterministic, and other numerical methods through an abundance of worked examples and code, covering the solution of systems of linear algebraic equations and nonlinear equations as well as ordinary differential equations and partial differential equations. It not on...
Get savvy with R language and actualize projects aimed at analysis, visualization and machine learning About This Book Proficiently analyze data and apply machine learning techniques Generate visualizations, develop interactive visualizations and applications to understand various data exploratory functions in R Construct a predictive model by using a variety of machine learning packages Who This Book Is For This Learning Path is ideal for those who have been exposed to R, but have not used it extensively yet. It covers the basics of using R and is written for new and intermediate R users interested in learning. This Learning Path also provides in-depth insights into professional techniques ...