| leslie_collapse {Rage} | R Documentation |
Aggregate a Leslie matrix
Description
Takes a Leslie matrix and aggregates it to a desired dimension m using least squares weights equal to the stable age distribution. The output includes the aggregated matrix, the weight matrix, the original (or expanded) Leslie matrix raised to the k power, the partitioning matrix, the size of the original (or expanded) Leslie matrix, the size of the aggregated matrix, the quotient of the original size divided by the aggregated size, and the effectiveness of aggregation.
Usage
leslie_collapse(A, m)
Arguments
A |
a Leslie matrix |
m |
the dimensionality of the desired aggregated matrix |
Value
a list including the following elements:
B |
The aggregated matrix |
W |
The weight matrix |
Ak |
The original (or expanded) Leslie matrix raised to the k power |
S |
The partitioning matrix |
n |
The size of the original (or expanded) Leslie matrix |
m |
The size of the aggregated matrix |
k |
The quotient of the original size divided by the aggregated size |
EFF |
The effectiveness of aggregation |
Author(s)
Richard A. Hinrichsen <rich@hinrichsenenvironmental.com>
References
Hinrichsen, R. A. (2023). Aggregation of Leslie matrix models with application to ten diverse animal species. Population Ecology, 1–21. https://doi.org/10.1002/1438-390X.12149
See Also
Other transformation:
is_leslie_matrix(),
mpm_collapse(),
mpm_rearrange(),
mpm_split(),
mpm_standardize(),
name_stages(),
repro_stages(),
standard_stages()
Examples
data(leslie_mpm1)
A <- leslie_mpm1$matU + leslie_mpm1$matF
leslie_collapse(A, 4)