# Calculates the true coefficient of overlapping between two distributions.

### Description

Calculates the true coefficient of overlapping between two distributions.

### Usage

1 | ```
overlapTrue(d1, d2 = NULL)
``` |

### Arguments

`d1` |
either a vector or a 2-column matrix of densities for equidistant points from 0 to |

`d2` |
a vector of densities as for d1; ignored if d1 is a matrix |

### Details

The coefficient of overlapping *Δ* for two probability density functions *f(x)* and *g(x)* is given by:
If the two curves in the plot below represent activity patterns of two species, the coefficient of overlapping is the area under the lower of the two curves, shaded grey in the figure:

### Value

The coefficient of overlap of the two distributions. The function is intended to calculate true overlap for simulated data. If the densities provided are fitted kernel densities, an estimate of overlap results.

### Author(s)

Mike Meredith, based on code by Martin Ridout.

### References

Ridout & Linkie (2009) Estimating overlap of daily activity patterns from camera trap data. *Journal of Agricultural, Biological, and Environmental Statistics* 14:322-337

### See Also

`overlapEst`

for various estimators of overlap.

### Examples

1 2 3 4 5 |