Book Image

Simulation for Data Science with R

By : Matthias Templ
Book Image

Simulation for Data Science with R

By: Matthias Templ

Overview of this book

Data Science with R aims to teach you how to begin performing data science tasks by taking advantage of Rs powerful ecosystem of packages. R being the most widely used programming language when used with data science can be a powerful combination to solve complexities involved with varied data sets in the real world. The book will provide a computational and methodological framework for statistical simulation to the users. Through this book, you will get in grips with the software environment R. After getting to know the background of popular methods in the area of computational statistics, you will see some applications in R to better understand the methods as well as gaining experience of working with real-world data and real-world problems. This book helps uncover the large-scale patterns in complex systems where interdependencies and variation are critical. An effective simulation is driven by data generating processes that accurately reflect real physical populations. You will learn how to plan and structure a simulation project to aid in the decision-making process as well as the presentation of results. By the end of this book, you reader will get in touch with the software environment R. After getting background on popular methods in the area, you will see applications in R to better understand the methods as well as to gain experience when working on real-world data and real-world problems.
Table of Contents (18 chapters)
Simulation for Data Science with R
Credits
About the Author
About the Reviewer
www.PacktPub.com
Preface
Index

Dynamic systems in ecological modeling


Dynamic systems play a vital role in ecological modeling to model absence and presents and interaction of species or interactions between economic systems and ecological systems. An ecological system is generally dynamically complex. When thinking of the simplest case, the predator and prey, it is obvious that the predator population is dependent on the presence of prey and vice versa.

Most ecological models can be formulated as a state space representation with:

Here, x is the derivative of the state of the system x. t is the time, u is the input vector of boundary conditions, and y is the output vector. p is a vector of constants/parameters and function f is the state transition function while g is the observation function, see also (Petzoldt and Rinke 2007). f is written in bold for the reason that it can also be a system of ordinary differential equations. In our love and hate example, this was our function love in combination with the ordinary differential...