avg_degree_bnr: Expected average degree of BNR networks

In complexNet: Complex Network Generation

Expected average degree of BNR networks

Description

Calculates the expected average degree of a BNR network (single parent only) based on the approximation by Ilany and Akcay, 2016 (see details).

Usage

avg_degree_bnr(n, pb, pn, pr)

## S4 method for signature 'numeric,numeric,numeric,numeric'
avg_degree_bnr(n, pb, pn, pr)

Arguments

n	Number of nodes in the network
pb	Probability to connect to parent (default is 1)
pn	Probability to connect to neighbour of parent(s)
pr	Probability to connect to individuals that are not connected to

Details

The expected average degree \bar{d} is calculated as

\bar{d} = \frac{(N-1)(p_b + (N-2)p_r)}{N-1-(N-2)(p_n - p_r)}

Value

Returns the expected average degree of a BNR network as a numeric value. This value is an analytic result and not a numeric approximation (compare examples below).

References

Ilany, A., and Akçay, E. (2016). Personality and Social Networks: A Generative Model Approach. Integrative and Comparative Biology, 56(6), 1197–1205. doi: 10.1093/icb/icw068

Examples

# Expected degree
avg_degree_bnr(n = 100, pb = 1, pn = .2, pr = .02)
# Compare to simulated network with identical parameters
adjm <- make_bnr(n = 100, np = c(0,0), pb = 1, pn = .2, pr = .02)
mean(adjm) * 100

complexNet documentation built on Nov. 10, 2022, 6:10 p.m.