Mathematics of Planet Earth

Protecting Our Planet, Learning from the Past, Safeguarding for the Future

  • Hans G. Kaper
  • Fred S. Roberts

Part of the Mathematics of Planet Earth book series (MPE, volume 5)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Geo- and Physical Sciences

    1. Front Matter
      Pages 1-1
    2. Hans Engler, Hans G. Kaper, Tasso J. Kaper, Theodore Vo
      Pages 3-33
  3. Life Sciences

    1. Front Matter
      Pages 75-75
    2. Steffen E. Eikenberry, Abba B. Gumel
      Pages 77-108
    3. Christina Edholm, Benjamin Levy, Ash Abebe, Theresia Marijani, Scott Le Fevre, Suzanne Lenhart et al.
      Pages 109-128
    4. Antonios Zagaris
      Pages 129-173
  4. Ecology and Evolution

    1. Front Matter
      Pages 175-175
    2. Colin J. Carlson, Kevin R. Burgio, Tad A. Dallas, Wayne M. Getz
      Pages 225-264
  5. Socio-Economics and Infrastructure

    1. Front Matter
      Pages 265-265
    2. Hans G. Kaper, Hans Engler
      Pages 267-296
    3. Ernesto Arandia, Bradley J. Eck, Sean A. McKenna, Laura Wynter, Sebastien Blandin
      Pages 337-368
  6. Back Matter
    Pages 369-374

About this book


Since its inception in 2013, Mathematics of Planet Earth (MPE) focuses on mathematical issues arising in the study of our planet. Interested in the impact of human activities on the Earth’s system, this multidisciplinary field considers the planet not only as a physical system, but also as a system supporting life, a system organized by humans, and a system at risk.

​The articles collected in this volume demonstrate the breadth of techniques and tools from mathematics, statistics, and operations research used in MPE.  Topics include climate modeling, the spread of infectious diseases, stability of ecosystems, ecosystem services, biodiversity, infrastructure restoration after an extreme event, urban environments, food security, and food safety. Demonstrating the mathematical sciences in action, this book presents real-world challenges for the mathematical sciences, highlighting applications to issues of current concern to society. Arranged into three topical sections (Geo- and Physical Sciences; Life Sciences, Ecology and Evolution; Socio-economics and Infrastructure), thirteen chapters address questions such as how to measure biodiversity, what mathematics can say about the sixth mass extinction, how to optimize the long-term human use of natural capital, and the impact of data on infrastructure management. The book also treats the subject of infectious diseases with new examples and presents an introduction to the mathematics of food systems and food security.

Each chapter functions as an introduction that can be studied independently, offering source material for graduate student seminars and self-study. The range of featured research topics provides mathematical scientists with starting points for the study of our planet and the impact of human activities.  At the same time, it offers application scientists a plethora of modern mathematical tools and techniques to address the various topics in practice. Including hundreds of references to the vast literature associated with each topic, this book serves as an inspiration for further research.


Mathematical Modeling Earth's Climate System Mathematical Ecology Carbon Cycle Risk Management glacial cycles machine learning urban computing dynamic optimization data-driven modeling risk-structured model ecosystem services gravitational potential sea level data reduction

Editors and affiliations

  • Hans G. Kaper
    • 1
  • Fred S. Roberts
    • 2
  1. 1.Mathematics and StatisticsGeorgetown UniversityWashington, DCUSA
  2. 2.DIMACS CenterRutgers UniversityPiscatawayUSA

Bibliographic information