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archeofrag (version 1.2.3)

frag.simul.process: Simulate the fragmentation of archaeological objects scattered in two spatial units

Description

Simulate the fragmentation of archaeological objects scattered in two spatial units.

Usage

frag.simul.process(initial.layers=2, n.components=NULL, vertices=Inf,
                   edges=Inf, balance=.5, components.balance=.5,
                   disturbance=0, aggreg.factor=0, planar=FALSE,
                   asymmetric.transport.from=NULL, 
                   from.observed.graph=NULL, observed.layer.attr=NULL, 
                   verbose=TRUE)

Value

An igraph object with a "frag_type" graph attribute (with the value "cr", for "connection relationship") and three vertices attributes: "name" (vertices identifiers), "layer" (with the values "1" and "2"), and "object.id" (component identifiers).

Arguments

initial.layers

Integer (1 or 2). Number of hypothetical spatial units (e.g. layers) to use as initial condition.

n.components

Integer. Innitial number of objects (connected components).

vertices

Integer. Final number of fragments (vertices).

edges

Integer. Final number of connection relationships between fragments (edges).

balance

Numeric ]0;1[. Proportion of fragments to generate in the first spatial unit before applying disturbance.

components.balance

Numeric ]0;1[. Proportion of objects (connected components) in the first spatial unit before applying fragmentation (only used when initial.layers=2).

disturbance

Numeric [0;1]. Final proportion of fragments moved from a spatial unit to the other.

aggreg.factor

Numeric [0;1]. Higher values increase the likelihood that the biggest components are selected when adding fragments or connections (see details).

planar

Logical. If TRUE, generates a planar graph (if FALSE, the graph can be planar or not).

asymmetric.transport.from

Numeric or character value in "0", "1", and "2". Determine the direction of fragment transport when generating disturbance. Null or "0" value is for bidirectional transport, "1" and "2" are for asymmetric transport from the first and second spatial units, respectively.

from.observed.graph

igraph object. If not NULL, the parameters observed in this fragmentation graph are used instead of the previous parameters. See details.

observed.layer.attr

character. Required if the from.observed.graph option is used. Name of the spatial unit attribute in the observed graph.

verbose

Logical. Whether to print or not warning messages.

Author

Sebastien Plutniak <sebastien.plutniak at posteo.net>

Details

This function simulates the fragmentation of archeological objects within and between two adjacent stratigraphic layers. Fragments are represented by vertices and the "connection" relationships ("refittings") between them are represented by edges. All fragments have at least one relation ("single" fragments are not generated).

Some parameters are optional or depend on other parameters (messages are displayed accordingly). Namely, setting initial.layers=1 enables to constraint the graph with the number of vertices only, the number of edges only, or both. With initial.layers=2, the components.balance can be used, and the edges parameter is not supported (only the vertices parameter can be used).

The components.balance parameter determines the proportion of components (i.e. objects) in the first spatial unit before the application of the fragmentation process; the balance parameter determines the proportion of fragments in the first spatial unit before the application of the disturbance process. The disturbance parameter determines the proportion of fragments to move from one spatial unit to another. Consequently, it generates inter-spatial units relationships. Highest admixture values are generated with disturbance=0.5; disturbance values > 0.5 revert the fragment balance between the two spatial units. The aggreg.factor contraints the selection of the object (set of fragments, i.e. connected components) to be fragmented at each iteration of the simulation: with aggreg.factor=0, the probability is equal for all objects; with aggreg.factor=0.01 the probability to select the 1st largest component is 0.99 and the smallest component is 1/4; with aggreg.factor=1 the probability to select the 1st largest component is 1/2, the second largest component is 1/3, the third largest is 1/4, etc. If asymmetric.transport.from is set to 1 or 2, the disturbance process is only applied to the fragments from spatial unit 1 or spatial unit 2, respectively.

If a graph is given to the from.observed.graph parameter, the properties of this graph are internally retrieved with the frag.get.parameters function (including: the number of components, number of vertices, balance, the components.balance, the disturbance, the aggregation factor, and whether the graph is planar or not; note that the number of edges is not included as a parameter). If some other parameters of the frag.simul.process function are set, the values retrieved from the observed graph are used in replacement. The frag.edges.weighting is internally applied to weight the graph edges.

Setting the planar argument to TRUE constraints the graph to be planar (if this parameter is FALSE, the graph can be planar or not). Note that using the planar argument requires to install the optional RBGL package and that the simulator is faster with initial.layers=2 and planar=FALSE.

See Also

frag.get.parameters, frag.edges.weighting, boyerMyrvoldPlanarityTest

Examples

Run this code
frag.simul.process(n.components=20, vertices=50, disturbance=.15)

g <- frag.simul.process(initial.layers=1, 
                            n.components=20,
                            vertices=50,
                            edges=40,
                            balance=.5,
                            components.balance=.5,
                            disturbance=.1,
                            planar=FALSE)
plot(g, vertex.color=factor(igraph::V(g)$layer), 
     vertex.size=4, vertex.label=NA)

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