# Reduced-bias beta entropy of a metacommunity

### Description

Calculates the reduced-bias beta entropy of order *q* between communities.

### Usage

1 2 |

### Arguments

`MC` |
A |

`q` |
A number: the order of diversity. Default is 1 for Shannon entropy. |

`Correction` |
A string containing one of the possible corrections accepted by the bias-corrected entropy function (see details) or |

`Tree` |
An object of class |

`Normalize` |
If |

`Z` |
A relatedness matrix, |

`CheckArguments` |
Logical; if |

### Details

If `Tree`

is not `NULL`

, then phylogenetic entropy is calculated by `bcPhyloBetaEntropy`

; else, if `Z`

is not `NULL`

, then similarity-based entropy is calculated by `bcHqzBeta`

; else, neutral entropy is calculated by `bcTsallisBeta`

.

The reduced-bias beta entropy of each community is calculated and summed according to community weights.

Note that beta entropy is related to alpha entropy (if *q* is not 1) and cannot be compared accross communities (Jost, 2007). Do rather calculate the `BetaDiversity`

of the metacommunity.

### Value

An `MCentropy`

object containing entropy values of each community and of the metacommunity.

### Author(s)

Eric Marcon <Eric.Marcon@ecofog.gf>

### References

Marcon, E., Scotti, I., Herault, B., Rossi, V. and Lang, G. (2014). Generalization of the partitioning of Shannon diversity. *PLOS One* 9(3): e90289.

Marcon, E., Herault, B. (2015). Decomposing Phylodiversity. *Methods in Ecology and Evolution* 6(3): 333-339.

Marcon, E., Zhang, Z. and Herault, B. (2014). The decomposition of similarity-based diversity and its bias correction. *HAL* hal-00989454(version 1).

### See Also

`bcTsallisBeta`

, `BetaDiversity`

### Examples

1 2 3 4 5 6 7 8 9 | ```
# Load Paracou data (number of trees per species in two 1-ha plot of a tropical forest)
data(Paracou618)
# Estimate Shannon beta entropy
summary(BetaEntropy(Paracou618.MC, 1))
# Compare without correction
summary(BetaEntropy(Paracou618.MC, 1, Correction = "None"))
# Estimate phylogenetic Shannon beta entropy
summary(BetaEntropy(Paracou618.MC, 1, Tree = Paracou618.Taxonomy) -> e)
plot(e)
``` |