My specialization in ecology and environmental modeling stems from my deep concern about the lack of education in ecology and its connection to mathematics. However, what has truly captured my attention are the environmental challenges we face as humanity.
One of the first books I read and found fascinating was Fundamentals of Environmental Engineering by James R. Mihelcic (2001), which presents the fundamental concepts for analyzing natural and engineering systems. However, the work that has most inspired my scientific research over the past five years is Theory-Based Ecology: A Darwinian Approach by Pásztor, L., Botta-Dukát, Z., Magyar, G., Czárán, T., & Meszéna, G. (2016), published by Oxford University Press.
This book begins with a reinterpretation of Darwin’s theory of natural selection, emphasizing its foundations in population regulation, and concludes with an in-depth discussion of this concept in ecology. Additionally, it includes numerous empirical examples, featuring organisms ranging from microbes to plants and animals.
This work has not only been a source of inspiration for my scientific research but has also motivated me to delve deeper into mathematics. Moreover, it has been instrumental in shaping my courses, which span from field ecology to biomathematics.
Thanks to this influence, I had the opportunity to give one of the most important presentations of my career at the Theoretical Ecology Seminar hosted by IITE. You can watch it at the following link: Theoretical Ecology Seminar from the IITE by William Campillay-Llanos (June 11, 2024). More information about the seminar is available on IITE.
This book reconstructs and pedagogically develops Stefan A. H. Geritz’s course on Mathematical Modelling, preserving its mechanistic approach and mathematical rigor.
It shows how individual-level processes can be translated into models of population, ecological, and spatial dynamics.
The text provides detailed derivations and biological interpretations to facilitate understanding of the original methods.
Its translation into Spanish makes this valuable modelling framework more accessible to Spanish-speaking students, teachers, and researchers.
The book thus aims to contribute to the teaching and dissemination of mechanistic mathematical modelling and biomathematics.
This book presents mathematical modelling through the author’s academic, research, and interdisciplinary experience.
It shows how real-world processes can be translated into mathematical models across biological and applied sciences.
The text combines rigorous mathematical foundations with intuitive explanations, practical examples, and scientific interpretation.
Particular emphasis is placed on understanding how mechanisms, assumptions, and scales shape model structure and dynamics.
The book aims to provide students and researchers with an accessible framework for building, analysing, and interpreting mathematical models.