Network simulations to study seed exchange for agrobiodiversity conservation

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Subnets of scale-free networks are not scale-free: sampling properties of networks.

Carsten Wiuf, Michael P H Stumpf, Bennett May (2005)

Most studies of networks have only looked at small subsets of the true network. Here, we discuss the sampling properties of a network's degree distribution under the most parsimonious sampling scheme. Only if the degree distributions of the network and randomly sampled subnets belong to the same family of probability distributions is it possible to extrapolate from subnet data to properties of the global network. We show that this condition is indeed satisfied for some important classes of networks, notably classical random graphs and exponential random graphs. For scale-free degree distributions, however, this is not the case. Thus, inferences about the scale-free nature of a network may have to be treated with some caution. The work presented here has important implications for the analysis of molecular networks as well as for graph theory and the theory of networks in general.

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Epidemic thresholds in real networks

Deepayan Chakrabarti, Jurij Leskovec, Chenxi Wang … (2008)

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Network structure and the biology of populations.

Bennett May (2006)

A scientific growth area in recent years has been the study of networks of interacting entities within a population, including species in food webs, human or other animals transmitting infection, proteins in cells, cells in organisms (e.g. neuronal networks), the internet and the World Wide Web. Here, I review some of the differing network patterns that arise in theory and in practice, with an emphasis on their dynamical implications, particularly for resistance to deliberate or accidental disturbance. I offer caveats and opinionated comment about some excesses of enthusiasm and suggest some areas where these network ideas might find further application.

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Author and article information

Journal

Title: Agronomy for Sustainable Development

Abbreviated Title: Agron. Sustain. Dev.

Publisher: Springer Nature

ISSN (Print): 1774-0746

ISSN (Electronic): 1773-0155

Publication date Created: January 2015

Publication date (Print): March 2014

Volume: 35

Issue: 1

Pages: 145-150

Article

DOI: 10.1007/s13593-014-0222-9

SO-VID: 1e7d4b27-a92c-4078-8546-22f50ede9448

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