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Construction of the Statistic Network from Field Sampling (pp. 69-80) $100.00
Authors:  (WenJun Zhang, School of Life Sciences, Sun Yat-sen University, Guangzhou, China, and others)
Abstract:
The statistic network is a weighted and non-deterministic network. In the statistic
network, a connection value (weight) represents connection strength and connection
likelihood between two nodes and its absolute value falls in the interval (0, 1]. The
connection value is expressed as a statistical measure such as correlation coefficient,
association coefficient, etc. Furthermore, all connections of the statistic network can be
statistically tested for their validity. A connection is true if the connection value is
statistically significant. If all connection values of a node are not statistically significant,
it is an isolated node. An isolated node has not any connection to other nodes in the
statistic network. Positive and negative connection values denote distinct connection
types (positive or negative association or interaction). In the statistic network, two nodes
with the greater connection value will show more similar trend in the change of their
states. At any time we can obtain a sample network of the statistic network. A sample
network is a non-weighted and deterministic network. The statistic network, in particular
the plant association network that constructed from field sampling, is mostly an
information network. Major conclusions have been drawn as follows: (1) in the plant
association network, most connections are weak and positive interactions. The
association network constructed from Spearman rank correlation has most connections
and isolated taxa are fewer. From net linear correlation, linear correlation, to Spearman
rank correlation, the practical number of connections and connectance in the constructed
network increases. Network compactness also follows the trend. In addition, as the
increase of network compactness and connectance, the portion and number of negative
association declines dramatically. (2) In an association (interaction) network, only a few
connections follow the linear relationship. Most connections follow the quasi-linear or
non-linear relationships. (3) The association networks constructed from partial linear
correlation and linear correlation measures are generally scale-free complex networks.
The degree of these networks is power low distributed. (4) Isolated species (families, etc.)
are likely important in the statistic network. They are the sink species for shaping new
network after a community is seriously disturbed. (5) Between-taxa connections at higher
taxonomic level are generally weaker than that at lower taxonomic level. 


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Construction of the Statistic Network from Field Sampling (pp. 69-80)