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Mathematics of Planet Earth

Part of the Mathematics of Planet Earth Book Series (volume 5)

Editors: Kaper, Hans G.; Roberts, Fred S.

DOI: 10.1007/978-3-030-22044-0

ISBN: 978-3-030-22043-3

Publisher: Springer International Publishing - Springer Journals

Nov 2, 2019

1 - 10 of 13 Chapters

LitStream

Modeling the Dynamics of Glacial Cycles

Engler, Hans; Kaper, Hans G.; Kaper, Tasso J.; Vo, Theodore

Pages: 3 –33

[This chapter is concerned with the dynamics of glacial cycles observed in the geological record of the Pleistocene Epoch. It focuses on a conceptual model proposed by Maasch and Saltzman (J Geophys Res 95(D2):1955–1963, 1990), which is based on physical arguments and emphasizes the role of...
LitStream

Mathematics of the Not-So-Solid Solid Earth

King, Scott D.

Pages: 35 –54

[As a result of climatic variations over the past 700,000 years, large ice sheets in high-latitude regions of the Earth formed and subsequently melted, loading and unloading the surface of the Earth. This chapter introduces the mathematical analysis of the vertical motion of the solid Earth in...
LitStream

Mathematical Challenges in Measuring Variability Patterns for Precipitation Analysis

Emelianenko, Maria; Maggioni, Viviana

Pages: 55 –74

[This chapter addresses some of the mathematical challenges associated with current experimental and computational methods to analyze spatiotemporal precipitation patterns. After a brief overview of the various methods to measure precipitation from in situ observations, satellite platforms, and...
LitStream

Mathematics of Malaria and Climate Change

Eikenberry, Steffen E.; Gumel, Abba B.

Pages: 77 –108

[This chapter is concerned with malaria and the impact of climate change on the spread of malarial diseases on the African continent. The focus is on mathematical models describing the dynamics of malaria under various climate scenarios. The models fit into the Ross–Macdonald framework, with...
LitStream

A Risk-Structured Mathematical Model of Buruli Ulcer Disease in Ghana

Edholm, Christina; Levy, Benjamin; Abebe, Ash; Marijani, Theresia; Le Fevre, Scott; Lenhart, Suzanne; Yakubu, Abdul-Aziz; Nyabadza, Farai

Pages: 109 –128

[This chapter discusses a mathematical model for the spread of an infectious disease with transmission through a pathogen in an environment, including the effects of human contact with the environment. The model assumes a structured susceptible population consisting of both “low-risk” and...
LitStream

Data-Informed Modeling in the Health Sciences

Zagaris, Antonios

Pages: 129 –173

[The adoption of automation and technology by health professionals is triggering an explosion of databases and data streams in that sector. The emergence of this data torrent creates the pressing need to mine it for value, which in turn requires investment for the development of modeling and...
LitStream

Multistability in Ecosystems: Concerns and Opportunities for Ecosystem Function in Variable Environments

Meron, Ehud; Mau, Yair; Zelnik, Yuval R.

Pages: 177 –202

[Ecosystems are highly nonlinear dissipative systems characterized by multiplicity of stable and unstable states. Two major concerns are associated with multistable ecosystems in variable environments. The first is related to the increased likelihood of extreme climate events at regional scales,...
LitStream

Measurement of Biodiversity: Richness and Evenness

Roberts, Fred S.

Pages: 203 –224

[Evidence about the health of ecosystems is often thought to be related to biodiversity. Traditional attempts to define biodiversity consider two components: richness—the number of species in the ecosystem—and evenness—the extent to which species are evenly distributed. This chapter studies...
LitStream

The Mathematics of Extinction Across Scales: From Populations to the Biosphere

Carlson, Colin J.; Burgio, Kevin R.; Dallas, Tad A.; Getz, Wayne M.

Pages: 225 –264

[The sixth mass extinction poses an unparalleled quantitative challenge to conservation biologists. Mathematicians and ecologists alike face the problem of developing models that can scale predictions of extinction rates from populations to the level of a species, or even to an entire ecosystem....
LitStream

Modeling Food Systems

Kaper, Hans G.; Engler, Hans

Pages: 267 –296

[When enough food is produced but sizable fractions of the population suffer from malnutrition or are overweight, it is time to get a better understanding of the global food system. This chapter introduces food systems and food security as timely research topics for Mathematics of Planet Earth...

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