[Vegan-commits] r1789 - pkg/vegan/man
noreply at r-forge.r-project.org
noreply at r-forge.r-project.org
Sun Sep 4 19:50:02 CEST 2011
Author: jarioksa
Date: 2011-09-04 19:50:02 +0200 (Sun, 04 Sep 2011)
New Revision: 1789
Modified:
pkg/vegan/man/eventstar.Rd
Log:
edits
Modified: pkg/vegan/man/eventstar.Rd
===================================================================
--- pkg/vegan/man/eventstar.Rd 2011-09-04 07:36:54 UTC (rev 1788)
+++ pkg/vegan/man/eventstar.Rd 2011-09-04 17:50:02 UTC (rev 1789)
@@ -1,10 +1,12 @@
+\encoding{UTF-8}
\name{eventstar}
\alias{eventstar}
+
\title{
Scale Parameter at the Minimum of the Tsallis Evenness Profile
}
\description{
-The function \code{eventstar} finds the minimum (\eqn{q\ast}{q*}) of the
+The function \code{eventstar} finds the minimum (\eqn{q^*}{q*}) of the
evenness profile based on the Tsallis entropy. This scale factor
of the entropy represents a specific weighting of species
relative frequencies that leads to minimum evenness of the
@@ -27,45 +29,45 @@
The function \code{eventstar} finds a characteristic value of the scale
parameter \eqn{q} of the Tsallis entropy corresponding to
minimum of the evenness (equitability) profile based on Tsallis entropy.
-This value was proposed by Mendes et al. (2008) as \eqn{q\ast}{q*}.
+This value was proposed by Mendes et al. (2008) as \eqn{q^*}{q*}.
-The \eqn{q\ast}{q*} index represents the scale parameter of
+The \eqn{q^\ast}{q*} index represents the scale parameter of
the one parameter Tsallis diversity family that leads to
the greatest deviation from the maximum equitability given the relative
abundance vactor of a community.
-The value of \eqn{q\ast}{q*} is found by identifying the minimum
+The value of \eqn{q^\ast}{q*} is found by identifying the minimum
of the evenness profile over scaling factor \eqn{q}{q} by
one-dimensional minimization. Because evenness profile is
known to be a convex function, it is guaranteed that underlying
\code{\link{optimize}} function will find a unique solution
if it is in the range \code{c(0, qmax)}.
-The scale parameter value \eqn{q\ast}{q*} is used to
-find corresponding values of diversity (\eqn{H_{q\ast}}{H.q*}),
-evenness (\eqn{H_{q\ast}(max)}{H.q*(max)}),
-and numbers equivalent (\eqn{D_{q\ast}}{D.q*}). For calculation
-details see \code{\link{tsallis}} and Examples below.
+The scale parameter value \eqn{q^\ast}{q*} is used to
+find corresponding values of diversity (\eqn{H_{q^\ast}}{H.q*}),
+evenness (\eqn{H_{q^\ast}(\max)}{H.q*(max)}),
+and numbers equivalent (\eqn{D_{q^\ast}}{D.q*}). For calculation
+details, see \code{\link{tsallis}} and Examples below.
-Mendes et al. (2008) advocated the use of \eqn{q\ast}{q*}
+Mendes et al. (2008) advocated the use of \eqn{q^\ast}{q*}
and corresponding diversity, evenness, and Hill numbers, because
it is a unique value representing the diversity profile, and is
-is positively associated by rare species in the community,
+is positively associated with rare species in the community,
thus it is a potentially useful indicator of certain
relative abundance distributions of the communities.
}
\value{
A data frame with columns:
\itemize{
- \item{\code{qstar}}{scale parameter value \eqn{q\ast}{q*}
+ \item{\code{qstar}}{ scale parameter value \eqn{q\ast}{q*}
corresponding to minimum value of Tsallis based evenness profile.}
- \item{\code{Estar}}{Value of evenness based on normalized Tsallis
- entropy at \eqn{q\ast}{q*}.}
- \item{\code{Hstar}}{Value of Tsallis entropy at \eqn{q\ast}{q*}.}
- \item{\code{Dstar}}{Value of Tsallis entropy at \eqn{q\ast}{q*}
+ \item{\code{Estar}}{ Value of evenness based on normalized Tsallis
+ entropy at \eqn{q^\ast}{q*}.}
+ \item{\code{Hstar}}{ Value of Tsallis entropy at \eqn{q^\ast}{q*}.}
+ \item{\code{Dstar}}{ Value of Tsallis entropy at \eqn{q^\ast}{q*}
converted to numbers equivalents
- ( also called as Hill numbers, effective number of species,
- 'true' diversity; cf. Jost 2007).}
+ (also called as Hill numbers, effective number of species,
+ \sQuote{true} diversity; cf. Jost 2007).}
}
See \code{\link{tsallis}} for calculation details.
}
@@ -82,10 +84,10 @@
\emph{J. Stat. Phis.} \bold{52}, 479--487.
}
\note{
-Values for \eqn{q\ast}{q*} found by Mendes et al. (2008) ranged
+Values for \eqn{q^\ast}{q*} found by Mendes et al. (2008) ranged
from 0.56 and 1.12 presenting low variability, so an
interval between 0 and 5 should safely encompass
-the possibly expected \eqn{q\ast}{q*} values in practice,
+the possibly expected \eqn{q^\ast}{q*} values in practice,
but profiling the evenness and changing the value of
the \code{qmax} argument is advised if output values
near the range limits are found.
@@ -93,7 +95,7 @@
\author{
Eduardo Ribeiro Cunha \email{edurcunha at gmail.com} and
Heloisa Beatriz Antoniazi Evangelista \email{helobeatriz at gmail.com},
-with tecnical input from Peter Solymos
+with technical input of Péter Sólymos.
}
\seealso{
Tsallis entropy: \code{\link{tsallis}}
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