| avg_degree_bnr {complexNet} | R Documentation |
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