Last data update: 2014.03.03

 R: Create Smooth Function
create.smoothR Documentation

Create Smooth Function

Description

create.smooth is used to create a smooth function. This function enables the conversion of data pertaining to specific taxa or functional groups into data by trophic classes. The main assumption of this Smooth function is that the distribution of the biomass (or catch...) of a trophic group around its mean trophic level follows a lognormal curve. The curve is defined by a mean (the mean TL of the trophic group) and a standart deviation (sigma), which is a measure of the trophic level variability within the group. The distribution is then defined by the lognormal function LN(mean TL, sigma).

Usage

create.smooth(tab_input, smooth_type=NULL, sigmaLN_cst=NULL,
	pas=NULL, shift=NULL, smooth_param=NULL)

Arguments

tab_input

is the input table based on Ecopath data or on independent data. The different variables are the group name, its trophic level, biomass, production on biomass ratio, catches, omnivory index and accessibility (fraction of the group that can be catch assuming an infinite fishing effort) if the input table corresponds to an EwE model. In other case, to simply build trophic spectra, only the group names and their trophic levels are necessary.

smooth_type

defines the type of sigma calculation for the lognormal distribution. Values of this parameter are 1, 2 or 3. By default smooth_type=1, this defines a constant sigma. By choosing smooth_type=2, the user has the possibility to implement a sigmaLN=smooth_param*ln(TL-0.05), with the parameter smooth_param=0.07 and shift=0.95 by default. Smooth_type=3 corresponds to the use of the omnivory index (OI) in the sigmaLN calculation (sigmaLN=OI/TL).

sigmaLN_cst

defines the value of the constant sigma of the lognormal distribution in case of smooth_type=1. By default, sigmaLN_cst=0.12.

pas

defines the splitting of the TL classes. By default, pas=0.1.

shift

defines the beginning of the smooth function and allows the substraction of 0.05 in the sigma calculation accounting for the half interval range of the trophic class. By default, with a constant sigmaLN (smooth_type=1), shift=1.8; with a function defined sigmaLN (smooth_type=2), shift=0.95; and with sigmaLN=OI/TL (smooth_type=3), shift=0.

smooth_param

defines the slope of the log-linear increase of the TL variability with the mean trophic level of the group. SigmaLN(TL) is thus defined as sigmaLN(TL)=smooth_param*ln(TL-0.05). By default, smooth_param=0.07.

Details

The user has the possibility to define sigmaLN for each trophic group and also adjust the LN distribution with the smooth_type, sigmaLN_cst, smooth_param, shift and pas parameters. Different choices are available : a constant sigma, a function defined sigma (log-linear increase) , or a sigma equal to the omnivory index divided by the associated mean TL.

Value

create.smooth returns a table of the TL distribution within a trophic class. This table enables the calculation of Trophic Spectra, it is used in the Transpose function.

Author(s)

Colleter Mathieu and Guitton Jerome.

See Also

plot.smooth to plot the Smooth function, Transpose to build trophic spectra, plot.Transpose to plot the trophic spectra.

Examples

data(ecopath_guinee)
create.smooth(ecopath_guinee)
create.smooth(ecopath_guinee,sigmaLN_cst=0.11)
create.smooth(ecopath_guinee,smooth_type=2,pas=0.2)

Results


R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> library(EcoTroph)
Loading required package: XML
> png(filename="/home/ddbj/snapshot/RGM3/R_CC/result/EcoTroph/create.smooth.Rd_%03d_medium.png", width=480, height=480)
> ### Name: create.smooth
> ### Title: Create Smooth Function
> ### Aliases: create.smooth
> ### Keywords: ~EcoTroph ~Smooth
> 
> ### ** Examples
> 
> data(ecopath_guinee)
> create.smooth(ecopath_guinee)
               4          4.4           2.1          3.8          3.9
1   0.000000e+00 0.000000e+00  0.000000e+00 0.000000e+00 0.000000e+00
2   3.266487e-87 1.028200e-99  4.751655e-03 1.861348e-80 7.010110e-84
2.1 1.519385e-60 5.278319e-71  9.547303e-01 5.914368e-55 8.799116e-58
2.2 1.246365e-44 1.218665e-53  4.045143e-02 7.226795e-40 2.849670e-42
2.3 5.255232e-34 6.840410e-42  6.654272e-05 6.957739e-30 5.843434e-32
2.4 1.936602e-26 2.089828e-33  2.715051e-08 7.670698e-23 1.194861e-24
2.5 7.984321e-21 5.151769e-27  6.109465e-12 1.140059e-17 2.993914e-19
2.6 1.538382e-16 4.672462e-22  1.113980e-15 9.076505e-14 3.747306e-15
2.7 3.312696e-13 3.945323e-18  2.006171e-19 8.963338e-11 5.515508e-12
2.8 1.403544e-10 5.674905e-15  3.965147e-23 1.890846e-08 1.662676e-09
2.9 1.718951e-08 2.099867e-12  9.100646e-27 1.232325e-06 1.496662e-07
3   7.984868e-07 2.676580e-10  2.497641e-30 3.218223e-05 5.248679e-06
3.1 1.714454e-05 1.454497e-08  8.309821e-34 4.068104e-04 8.701761e-05
3.2 1.972272e-04 3.953007e-07  3.367105e-37 2.865565e-03 7.879046e-04
3.3 1.360522e-03 6.071121e-06  1.660304e-40 1.252072e-02 4.349250e-03
3.4 6.142394e-03 5.795111e-05  9.923750e-44 3.687620e-02 1.594036e-02
3.5 1.944671e-02 3.706906e-04  7.148713e-47 7.816091e-02 4.149058e-02
3.6 4.562651e-02 1.687954e-03  6.164933e-50 1.256202e-01 8.093320e-02
3.7 8.296105e-02 5.746737e-03  6.319253e-53 1.596984e-01 1.235739e-01
3.8 1.212592e-01 1.522964e-02  7.643156e-56 1.662260e-01 1.530389e-01
3.9 1.468505e-01 3.248382e-02  1.082964e-58 1.457514e-01 1.583104e-01
4   1.511145e-01 5.734252e-02  1.785006e-61 1.102356e-01 1.401755e-01
4.1 1.349597e-01 8.576962e-02  3.399496e-64 7.335737e-02 1.084435e-01
4.2 1.065000e-01 1.108931e-01  7.432531e-67 4.367692e-02 7.458260e-02
4.3 7.539913e-02 1.260644e-01  1.854148e-69 2.360077e-02 4.627862e-02
4.4 4.852060e-02 1.278661e-01  5.247068e-72 1.171511e-02 2.623693e-02
4.5 2.870201e-02 1.171889e-01  1.675222e-74 5.398192e-03 1.373881e-02
4.6 1.575978e-02 9.811906e-02  6.002951e-77 2.329956e-03 6.707530e-03
4.7 8.100500e-03 7.577283e-02  2.402569e-79 9.493788e-04 3.078157e-03
4.8 3.926472e-03 5.442624e-02  1.069078e-81 3.676888e-04 1.337264e-03
4.9 1.806469e-03 3.663021e-02  5.266047e-84 1.361615e-04 5.534018e-04
5   7.933520e-04 2.325050e-02  2.859755e-86 4.846502e-05 2.193472e-04
5.1 3.342626e-04 1.399875e-02  1.705572e-88 1.665702e-05 8.367214e-05
5.2 1.357141e-04 8.035871e-03  1.113093e-90 5.550378e-06 3.084850e-05
5.3 5.330773e-05 4.418189e-03  7.921815e-93 1.799547e-06 1.103391e-05
5.4 2.032860e-05 2.336110e-03  6.128348e-95 5.695129e-07 3.841692e-06
5.5 7.549834e-06 1.192246e-03  5.137580e-97 1.764312e-07 1.305904e-06
5.6 2.738399e-06 5.892319e-04  4.653857e-99 5.363856e-08 4.345651e-07
5.7 9.724715e-07 2.828376e-04 4.542724e-101 1.603950e-08 1.419028e-07
5.8 3.388894e-07 1.322134e-04 4.765855e-103 4.727115e-09 4.556705e-08
5.9 1.161242e-07 6.033197e-05 5.360647e-105 1.375568e-09 1.441689e-08
6   3.919830e-08 2.693402e-05 6.449569e-107 3.958753e-10 4.502014e-09
6.1 1.305601e-08 1.178682e-05 8.281662e-109 1.128401e-10 1.389750e-09
6.2 4.297377e-09 5.065432e-06 1.132561e-110 3.189872e-11 4.246928e-10
6.3 1.399703e-09 2.141276e-06 1.646235e-112 8.953808e-12 1.286405e-10
6.4 4.516933e-10 8.916929e-07 2.538509e-114 2.498257e-12 3.866773e-11
6.5 1.445815e-10 3.663008e-07 4.145070e-116 6.935646e-13 1.154634e-11
6.6 4.595009e-11 1.486222e-07 7.154810e-118 1.917532e-13 3.428307e-12
6.7 1.451335e-11 5.962796e-08 1.303343e-119 5.283893e-14 1.013052e-12
6.8 4.559580e-12 2.368063e-08 2.501656e-121 1.452241e-14 2.981566e-13
6.9 1.425915e-12 9.318208e-09 5.051834e-123 3.983684e-15 8.746411e-14
7   4.442026e-13 3.636242e-09 1.071757e-124 1.091328e-15 2.559019e-14
             4.3          4.2          4.1          4.1          3.1
1   0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
2   1.054108e-96 1.280391e-93 1.860287e-90 1.860287e-90 2.437331e-53
2.1 1.793453e-68 6.901660e-66 3.025157e-63 3.025157e-63 4.179657e-33
2.2 1.891420e-51 3.220088e-49 6.031176e-47 6.031176e-47 9.344923e-22
2.3 5.781436e-40 5.228644e-38 5.064109e-36 5.064109e-36 1.134981e-14
2.4 1.074982e-31 5.798116e-30 3.276260e-28 3.276260e-28 5.353161e-10
2.5 1.741433e-25 6.067468e-24 2.173881e-22 2.173881e-22 7.906013e-07
2.6 1.097857e-20 2.619675e-19 6.325267e-18 6.325267e-18 1.159022e-04
2.7 6.726056e-17 1.149349e-15 1.959298e-14 1.959298e-14 3.375908e-03
2.8 7.261204e-14 9.204153e-13 1.149198e-11 1.149198e-11 3.045928e-02
2.9 2.072536e-11 2.005095e-10 1.888899e-09 1.888899e-09 1.146850e-01
3   2.084335e-09 1.575705e-08 1.147793e-07 1.147793e-07 2.217863e-01
3.1 9.107933e-08 5.487588e-07 3.155221e-06 3.155221e-06 2.557322e-01
3.2 2.022900e-06 9.878636e-06 4.562707e-05 4.562707e-05 1.962381e-01
3.3 2.574578e-05 1.033920e-04 3.894534e-04 3.894534e-04 1.088525e-01
3.4 2.061381e-04 6.894166e-04 2.145904e-03 2.145904e-03 4.650101e-02
3.5 1.117885e-03 3.148340e-03 8.192082e-03 8.192082e-03 1.607174e-02
3.6 4.356472e-03 1.043394e-02 2.292947e-02 2.292947e-02 4.672220e-03
3.7 1.280092e-02 2.630200e-02 4.926467e-02 4.926467e-02 1.178464e-03
3.8 2.950096e-02 5.241231e-02 8.436098e-02 8.436098e-02 2.644268e-04
3.9 5.509359e-02 8.523726e-02 1.187715e-01 1.187715e-01 5.386805e-05
4   8.568083e-02 1.161818e-01 1.410943e-01 1.410943e-01 1.013086e-05
4.1 1.135428e-01 1.357334e-01 1.445443e-01 1.445443e-01 1.783386e-06
4.2 1.307339e-01 1.385216e-01 1.300779e-01 1.300779e-01 2.972444e-07
4.3 1.329808e-01 1.255046e-01 1.044594e-01 1.044594e-01 4.736125e-08
4.4 1.212157e-01 1.023629e-01 7.587313e-02 7.587313e-02 7.272485e-09
4.5 1.002416e-01 7.606190e-02 5.042783e-02 5.042783e-02 1.083572e-09
4.6 7.601454e-02 5.202848e-02 3.097875e-02 3.097875e-02 1.575665e-10
4.7 5.335171e-02 3.305899e-02 1.774476e-02 1.774476e-02 2.247216e-11
4.8 3.494154e-02 1.966731e-02 9.550156e-03 9.550156e-03 3.156694e-12
4.9 2.150735e-02 1.103114e-02 4.861808e-03 4.861808e-03 4.383256e-13
5   1.252061e-02 5.869089e-03 2.355031e-03 2.355031e-03 6.035145e-14
5.1 6.932395e-03 2.978130e-03 1.091119e-03 1.091119e-03 8.261660e-15
5.2 3.668722e-03 1.448176e-03 4.857706e-04 4.857706e-04 1.127039e-15
5.3 1.863964e-03 6.777284e-04 2.086691e-04 2.086691e-04 1.535217e-16
5.4 9.127757e-04 3.064074e-04 8.680451e-05 8.680451e-05 2.091754e-17
5.5 4.323417e-04 1.342857e-04 3.508360e-05 3.508360e-05 2.855035e-18
5.6 1.987021e-04 5.722318e-05 1.381707e-05 1.381707e-05 3.908732e-19
5.7 8.886438e-05 2.377481e-05 5.316426e-06 5.316426e-06 5.373692e-20
5.8 3.877202e-05 9.654669e-06 2.003286e-06 2.003286e-06 7.425845e-21
5.9 1.654178e-05 3.840614e-06 7.408179e-07 7.408179e-07 1.032339e-21
6   6.915630e-06 1.499623e-06 2.693779e-07 2.693779e-07 1.444841e-22
6.1 2.838532e-06 5.758033e-07 9.648305e-08 9.648305e-08 2.037107e-23
6.2 1.145829e-06 2.177691e-07 3.409295e-08 3.409295e-08 2.894949e-24
6.3 4.556104e-07 8.124606e-08 1.190214e-08 1.190214e-08 4.148635e-25
6.4 1.787055e-07 2.994243e-08 4.110535e-09 4.110535e-09 5.997659e-26
6.5 6.923433e-08 1.091422e-08 1.406046e-09 1.406046e-09 8.750244e-27
6.6 2.652551e-08 3.939262e-09 4.768678e-10 4.768678e-10 1.288687e-27
6.7 1.006098e-08 1.409307e-09 1.605175e-10 1.605175e-10 1.916330e-28
6.8 3.781692e-09 5.002404e-10 5.367400e-11 5.367400e-11 2.877920e-29
6.9 1.409943e-09 1.763249e-10 1.784353e-11 1.784353e-11 4.365628e-30
7   5.218585e-10 6.176724e-11 5.902022e-12 5.902022e-12 6.690134e-31
             2.5          2.8          3.9          3.9          3.8
1   0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
2   3.584462e-24 1.445359e-39 7.010110e-84 7.010110e-84 1.861348e-80
2.1 1.654597e-11 1.534140e-22 8.799116e-58 8.799116e-58 5.914368e-55
2.2 1.574551e-05 1.815301e-13 2.849670e-42 2.849670e-42 7.226795e-40
2.3 1.304732e-02 3.781692e-08 5.843434e-32 5.843434e-32 6.957739e-30
2.4 2.427915e-01 6.436446e-05 1.194861e-24 1.194861e-24 7.670698e-23
2.5 4.749154e-01 5.731129e-03 2.993914e-19 2.993914e-19 1.140059e-17
2.6 2.237403e-01 7.375240e-02 3.747306e-15 3.747306e-15 9.076505e-14
2.7 4.121505e-02 2.512403e-01 5.515508e-12 5.515508e-12 8.963338e-11
2.8 4.011657e-03 3.324519e-01 1.662676e-09 1.662676e-09 1.890846e-08
2.9 2.510080e-04 2.204712e-01 1.496662e-07 1.496662e-07 1.232325e-06
3   1.152469e-05 8.735384e-02 5.248679e-06 5.248679e-06 3.218223e-05
3.1 4.256942e-07 2.343022e-02 8.701761e-05 8.701761e-05 4.068104e-04
3.2 1.350559e-08 4.659911e-03 7.879046e-04 7.879046e-04 2.865565e-03
3.3 3.859087e-10 7.353776e-04 4.349250e-03 4.349250e-03 1.252072e-02
3.4 1.028458e-11 9.693004e-05 1.594036e-02 1.594036e-02 3.687620e-02
3.5 2.623836e-13 1.110075e-05 4.149058e-02 4.149058e-02 7.816091e-02
3.6 6.535217e-15 1.139026e-06 8.093320e-02 8.093320e-02 1.256202e-01
3.7 1.612977e-16 1.072771e-07 1.235739e-01 1.235739e-01 1.596984e-01
3.8 3.990075e-18 9.454230e-09 1.530389e-01 1.530389e-01 1.662260e-01
3.9 9.979381e-20 7.917506e-10 1.583104e-01 1.583104e-01 1.457514e-01
4   2.540381e-21 6.379744e-11 1.401755e-01 1.401755e-01 1.102356e-01
4.1 6.615940e-23 4.996514e-12 1.084435e-01 1.084435e-01 7.335737e-02
4.2 1.769619e-24 3.835064e-13 7.458260e-02 7.458260e-02 4.367692e-02
4.3 4.875850e-26 2.904481e-14 4.627862e-02 4.627862e-02 2.360077e-02
4.4 1.386968e-27 2.182656e-15 2.623693e-02 2.623693e-02 1.171511e-02
4.5 4.079778e-29 1.635049e-16 1.373881e-02 1.373881e-02 5.398192e-03
4.6 1.242412e-30 1.225659e-17 6.707530e-03 6.707530e-03 2.329956e-03
4.7 3.920110e-32 9.223217e-19 3.078157e-03 3.078157e-03 9.493788e-04
4.8 1.282184e-33 6.985799e-20 1.337264e-03 1.337264e-03 3.676888e-04
4.9 4.348453e-35 5.337322e-21 5.534018e-04 5.534018e-04 1.361615e-04
5   1.529267e-36 4.120930e-22 2.193472e-04 2.193472e-04 4.846502e-05
5.1 5.576501e-38 3.220231e-23 8.367214e-05 8.367214e-05 1.665702e-05
5.2 2.108066e-39 2.550000e-24 3.084850e-05 3.084850e-05 5.550378e-06
5.3 8.258919e-41 2.048332e-25 1.103391e-05 1.103391e-05 1.799547e-06
5.4 3.352115e-42 1.670446e-26 3.841692e-06 3.841692e-06 5.695129e-07
5.5 1.408919e-43 1.383989e-27 1.305904e-06 1.305904e-06 1.764312e-07
5.6 6.129418e-45 1.165570e-28 4.345651e-07 4.345651e-07 5.363856e-08
5.7 2.758663e-46 9.982472e-30 1.419028e-07 1.419028e-07 1.603950e-08
5.8 1.283787e-47 8.697174e-31 4.556705e-08 4.556705e-08 4.727115e-09
5.9 6.173949e-49 7.710252e-32 1.441689e-08 1.441689e-08 1.375568e-09
6   3.066648e-50 6.956468e-33 4.502014e-09 4.502014e-09 3.958753e-10
6.1 1.572345e-51 6.388400e-34 1.389750e-09 1.389750e-09 1.128401e-10
6.2 8.316963e-53 5.971854e-35 4.246928e-10 4.246928e-10 3.189872e-11
6.3 4.535917e-54 5.682662e-36 1.286405e-10 1.286405e-10 8.953808e-12
6.4 2.549174e-55 5.504466e-37 3.866773e-11 3.866773e-11 2.498257e-12
6.5 1.475438e-56 5.427261e-38 1.154634e-11 1.154634e-11 6.935646e-13
6.6 8.789921e-58 5.446504e-39 3.428307e-12 3.428307e-12 1.917532e-13
6.7 5.387034e-59 5.562703e-40 1.013052e-12 1.013052e-12 5.283893e-14
6.8 3.394513e-60 5.781436e-41 2.981566e-13 2.981566e-13 1.452241e-14
6.9 2.198032e-61 6.113795e-42 8.746411e-14 8.746411e-14 3.983684e-15
7   1.461807e-62 6.577317e-43 2.559019e-14 2.559019e-14 1.091328e-15
             4.1          3.9          3.6          3.7          2.3
1   0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
2   1.860287e-90 7.010110e-84 2.625023e-73 6.197082e-77 3.642400e-13
2.1 3.025157e-63 8.799116e-58 4.293451e-49 4.645419e-52 1.291472e-04
2.2 6.031176e-47 2.849670e-42 6.392995e-35 2.037165e-37 1.479841e-01
2.3 5.064109e-36 5.843434e-32 1.202721e-25 8.858330e-28 6.670644e-01
2.4 3.276260e-28 1.194861e-24 3.492900e-19 5.101199e-21 1.752754e-01
2.5 2.173881e-22 2.993914e-19 1.680541e-14 4.378226e-16 9.350107e-03
2.6 6.325267e-18 3.747306e-15 5.036517e-11 2.166307e-12 1.944900e-04
2.7 1.959298e-14 5.515508e-12 2.100940e-08 1.406255e-09 2.285454e-06
2.8 1.149198e-11 1.662676e-09 2.050247e-06 2.038265e-07 1.896990e-08
2.9 1.888899e-09 1.496662e-07 6.652997e-05 9.459925e-06 1.280095e-10
3   1.147793e-07 5.248679e-06 9.192221e-04 1.812067e-04 7.695052e-13
3.1 3.155221e-06 8.701761e-05 6.469227e-03 1.722370e-03 4.379496e-15
3.2 4.562707e-05 7.879046e-04 2.649627e-02 9.317549e-03 2.459284e-17
3.3 3.894534e-04 4.349250e-03 6.988307e-02 3.184130e-02 1.401700e-19
3.4 2.145904e-03 1.594036e-02 1.283545e-01 7.451923e-02 8.268643e-22
3.5 8.192082e-03 4.149058e-02 1.745876e-01 1.272703e-01 5.116572e-24
3.6 2.292947e-02 8.093320e-02 1.846955e-01 1.668685e-01 3.351749e-26
3.7 4.926467e-02 1.235739e-01 1.580860e-01 1.749747e-01 2.338715e-28
3.8 8.436098e-02 1.530389e-01 1.130581e-01 1.517135e-01 1.745087e-30
3.9 1.187715e-01 1.583104e-01 6.937131e-02 1.118049e-01 1.395815e-32
4   1.410943e-01 1.401755e-01 3.733078e-02 7.164818e-02 1.198252e-34
4.1 1.445443e-01 1.084435e-01 1.794481e-02 4.069690e-02 1.104471e-36
4.2 1.300779e-01 7.458260e-02 7.825452e-03 2.082241e-02 1.092841e-38
4.3 1.044594e-01 4.627862e-02 3.136660e-03 9.728698e-03 1.160045e-40
4.4 7.587313e-02 2.623693e-02 1.168583e-03 4.199538e-03 1.319738e-42
4.5 5.042783e-02 1.373881e-02 4.085431e-04 1.691688e-03 1.607227e-44
4.6 3.097875e-02 6.707530e-03 1.351373e-04 6.414457e-04 2.092451e-46
4.7 1.774476e-02 3.078157e-03 4.259522e-05 2.306569e-04 2.907964e-48
4.8 9.550156e-03 1.337264e-03 1.287289e-05 7.917037e-05 4.307402e-50
4.9 4.861808e-03 5.534018e-04 3.750223e-06 2.608626e-05 6.789786e-52
5   2.355031e-03 2.193472e-04 1.058148e-06 8.292231e-06 1.137171e-53
5.1 1.091119e-03 8.367214e-05 2.903588e-07 2.554097e-06 2.020414e-55
5.2 4.857706e-04 3.084850e-05 7.776772e-08 7.652105e-07 3.802081e-57
5.3 2.086691e-04 1.103391e-05 2.039526e-08 2.237581e-07 7.566608e-59
5.4 8.680451e-05 3.841692e-06 5.252350e-09 6.405301e-08 1.590102e-60
5.5 3.508360e-05 1.305904e-06 1.331565e-09 1.799807e-08 3.523330e-62
5.6 1.381707e-05 4.345651e-07 3.330604e-10 4.975910e-09 8.219835e-64
5.7 5.316426e-06 1.419028e-07 8.235632e-11 1.356447e-09 2.016271e-65
5.8 2.003286e-06 4.556705e-08 2.016751e-11 3.652938e-10 5.193066e-67
5.9 7.408179e-07 1.441689e-08 4.898634e-12 9.734858e-11 1.402551e-68
6   2.693779e-07 4.502014e-09 1.181895e-12 2.571151e-11 3.967189e-70
6.1 9.648305e-08 1.389750e-09 2.836046e-13 6.739561e-12 1.173774e-71
6.2 3.409295e-08 4.246928e-10 6.775969e-14 1.755405e-12 3.628347e-73
6.3 1.190214e-08 1.286405e-10 1.613601e-14 4.548277e-13 1.170468e-74
6.4 4.110535e-09 3.866773e-11 3.833410e-15 1.173480e-13 3.936016e-76
6.5 1.406046e-09 1.154634e-11 9.092782e-16 3.017559e-14 1.378282e-77
6.6 4.768678e-10 3.428307e-12 2.155029e-16 7.740027e-15 5.020612e-79
6.7 1.605175e-10 1.013052e-12 5.106750e-17 1.981784e-15 1.900559e-80
6.8 5.367400e-11 2.981566e-13 1.210690e-17 5.068600e-16 7.469585e-82
6.9 1.784353e-11 8.746411e-14 2.873124e-18 1.295687e-16 3.045092e-83
7   5.902022e-12 2.559019e-14 6.828444e-19 3.312312e-17 1.286489e-84
             3.6          3.3          3.9          3.5          3.3
1   0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
2   2.625023e-73 9.994040e-62 7.010110e-84 1.437388e-69 9.994040e-62
2.1 4.293451e-49 9.635727e-40 8.799116e-58 4.701997e-46 9.635727e-40
2.2 6.392995e-35 3.757557e-27 2.849670e-42 2.234892e-32 3.757557e-27
2.3 1.202721e-25 4.191480e-19 5.843434e-32 1.734000e-23 4.191480e-19
2.4 3.492900e-19 1.210201e-13 1.194861e-24 2.442156e-17 1.210201e-13
2.5 1.680541e-14 8.269748e-10 2.993914e-19 6.372385e-13 8.269748e-10
2.6 5.036517e-11 4.570091e-07 3.747306e-15 1.124071e-09 4.570091e-07
2.7 2.100940e-08 4.290964e-05 5.515508e-12 2.937892e-07 4.290964e-05
2.8 2.050247e-06 1.103066e-03 1.662676e-09 1.887128e-05 1.103066e-03
2.9 6.652997e-05 1.070856e-02 1.496662e-07 4.194800e-04 1.070856e-02
3   9.192221e-04 4.916827e-02 5.248679e-06 4.103165e-03 4.916827e-02
3.1 6.469227e-03 1.255990e-01 8.701761e-05 2.101689e-02 1.255990e-01
3.2 2.649627e-02 2.012896e-01 7.879046e-04 6.414298e-02 2.012896e-01
3.3 6.988307e-02 2.216346e-01 4.349250e-03 1.286478e-01 2.216346e-01
3.4 1.283545e-01 1.798037e-01 1.594036e-02 1.828883e-01 1.798037e-01
3.5 1.745876e-01 1.135127e-01 4.149058e-02 1.955599e-01 1.135127e-01
3.6 1.846955e-01 5.823590e-02 8.093320e-02 1.648883e-01 5.823590e-02
3.7 1.580860e-01 2.513787e-02 1.235739e-01 1.138735e-01 2.513787e-02
3.8 1.130581e-01 9.390542e-03 1.530389e-01 6.643677e-02 9.390542e-03
3.9 6.937131e-02 3.106607e-03 1.583104e-01 3.358761e-02 3.106607e-03
4   3.733078e-02 9.276283e-04 1.401755e-01 1.502700e-02 9.276283e-04
4.1 1.794481e-02 2.539913e-04 1.084435e-01 6.055017e-03 2.539913e-04
4.2 7.825452e-03 6.462003e-05 7.458260e-02 2.230074e-03 6.462003e-05
4.3 3.136660e-03 1.544747e-05 4.627862e-02 7.601615e-04 1.544747e-05
4.4 1.168583e-03 3.502570e-06 2.623693e-02 2.423746e-04 3.502570e-06
4.5 4.085431e-04 7.593506e-07 1.373881e-02 7.294681e-05 7.593506e-07
4.6 1.351373e-04 1.584912e-07 6.707530e-03 2.088579e-05 1.584912e-07
4.7 4.259522e-05 3.203569e-08 3.078157e-03 5.727222e-06 3.203569e-08
4.8 1.287289e-05 6.302820e-09 1.337264e-03 1.512926e-06 6.302820e-09
4.9 3.750223e-06 1.212312e-09 5.534018e-04 3.869667e-07 1.212312e-09
5   1.058148e-06 2.288375e-10 2.193472e-04 9.625703e-08 2.288375e-10
5.1 2.903588e-07 4.253163e-11 8.367214e-05 2.337627e-08 4.253163e-11
5.2 7.776772e-08 7.805916e-12 3.084850e-05 5.561312e-09 7.805916e-12
5.3 2.039526e-08 1.418273e-12 1.103391e-05 1.299980e-09 1.418273e-12
5.4 5.252350e-09 2.556709e-13 3.841692e-06 2.993632e-10 2.556709e-13
5.5 1.331565e-09 4.581749e-14 1.305904e-06 6.807303e-11 4.581749e-14
5.6 3.330604e-10 8.176197e-15 4.345651e-07 1.531664e-11 8.176197e-15
5.7 8.235632e-11 1.455104e-15 1.419028e-07 3.416326e-12 1.455104e-15
5.8 2.016751e-11 2.586035e-16 4.556705e-08 7.566068e-13 2.586035e-16
5.9 4.898634e-12 4.594940e-17 1.441689e-08 1.666197e-13 4.594940e-17
6   1.181895e-12 8.171061e-18 4.502014e-09 3.653333e-14 8.171061e-18
6.1 2.836046e-13 1.455546e-18 1.389750e-09 7.984735e-15 1.455546e-18
6.2 6.775969e-14 2.599391e-19 4.246928e-10 1.741358e-15 2.599391e-19
6.3 1.613601e-14 4.657200e-20 1.286405e-10 3.792911e-16 4.657200e-20
6.4 3.833410e-15 8.376423e-21 3.866773e-11 8.257968e-17 8.376423e-21
6.5 9.092782e-16 1.513262e-21 1.154634e-11 1.798503e-17 1.513262e-21
6.6 2.155029e-16 2.747287e-22 3.428307e-12 3.920796e-18 2.747287e-22
6.7 5.106750e-17 5.014369e-23 1.013052e-12 8.560930e-19 5.014369e-23
6.8 1.210690e-17 9.204838e-24 2.981566e-13 1.873194e-19 9.204838e-24
6.9 2.873124e-18 1.700000e-24 8.746411e-14 4.109294e-20 1.700000e-24
7   6.828444e-19 3.159672e-25 2.559019e-14 9.041916e-21 3.159672e-25
             3.3          3.7          3.5            3          3.6
1   0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
2   9.994040e-62 6.197082e-77 1.437388e-69 6.440176e-49 2.625023e-73
2.1 9.635727e-40 4.645419e-52 4.701997e-46 1.159623e-29 4.293451e-49
2.2 3.757557e-27 2.037165e-37 2.234892e-32 5.239350e-19 6.392995e-35
2.3 4.191480e-19 8.858330e-28 1.734000e-23 1.840831e-12 1.202721e-25
2.4 1.210201e-13 5.101199e-21 2.442156e-17 3.151410e-08 3.492900e-19
2.5 8.269748e-10 4.378226e-16 6.372385e-13 1.975727e-05 1.680541e-14
2.6 4.570091e-07 2.166307e-12 1.124071e-09 1.378833e-03 5.036517e-11
2.7 4.290964e-05 1.406255e-09 2.937892e-07 2.086787e-02 2.100940e-08
2.8 1.103066e-03 2.038265e-07 1.887128e-05 1.048246e-01 2.050247e-06
2.9 1.070856e-02 9.459925e-06 4.194800e-04 2.323637e-01 6.652997e-05
3   4.916827e-02 1.812067e-04 4.103165e-03 2.770433e-01 9.192221e-04
3.1 1.255990e-01 1.722370e-03 2.101689e-02 2.047258e-01 6.469227e-03
3.2 2.012896e-01 9.317549e-03 6.414298e-02 1.040570e-01 2.649627e-02
3.3 2.216346e-01 3.184130e-02 1.286478e-01 3.933462e-02 6.988307e-02
3.4 1.798037e-01 7.451923e-02 1.828883e-01 1.173818e-02 1.283545e-01
3.5 1.135127e-01 1.272703e-01 1.955599e-01 2.896352e-03 1.745876e-01
3.6 5.823590e-02 1.668685e-01 1.648883e-01 6.128147e-04 1.846955e-01
3.7 2.513787e-02 1.749747e-01 1.138735e-01 1.144464e-04 1.580860e-01
3.8 9.390542e-03 1.517135e-01 6.643677e-02 1.930934e-05 1.130581e-01
3.9 3.106607e-03 1.118049e-01 3.358761e-02 2.999245e-06 6.937131e-02
4   9.276283e-04 7.164818e-02 1.502700e-02 4.355383e-07 3.733078e-02
4.1 2.539913e-04 4.069690e-02 6.055017e-03 5.988486e-08 1.794481e-02
4.2 6.462003e-05 2.082241e-02 2.230074e-03 7.878525e-09 7.825452e-03
4.3 1.544747e-05 9.728698e-03 7.601615e-04 1.000481e-09 3.136660e-03
4.4 3.502570e-06 4.199538e-03 2.423746e-04 1.235345e-10 1.168583e-03
4.5 7.593506e-07 1.691688e-03 7.294681e-05 1.492301e-11 4.085431e-04
4.6 1.584912e-07 6.414457e-04 2.088579e-05 1.772842e-12 1.351373e-04
4.7 3.203569e-08 2.306569e-04 5.727222e-06 2.080364e-13 4.259522e-05
4.8 6.302820e-09 7.917037e-05 1.512926e-06 2.420401e-14 1.287289e-05
4.9 1.212312e-09 2.608626e-05 3.869667e-07 2.800890e-15 3.750223e-06
5   2.288375e-10 8.292231e-06 9.625703e-08 3.232543e-16 1.058148e-06
5.1 4.253163e-11 2.554097e-06 2.337627e-08 3.729410e-17 2.903588e-07
5.2 7.805916e-12 7.652105e-07 5.561312e-09 4.309686e-18 7.776772e-08
5.3 1.418273e-12 2.237581e-07 1.299980e-09 4.996888e-19 2.039526e-08
5.4 2.556709e-13 6.405301e-08 2.993632e-10 5.821500e-20 5.252350e-09
5.5 4.581749e-14 1.799807e-08 6.807303e-11 6.823286e-21 1.331565e-09
5.6 8.176197e-15 4.975910e-09 1.531664e-11 8.054525e-22 3.330604e-10
5.7 1.455104e-15 1.356447e-09 3.416326e-12 9.584537e-23 8.235632e-11
5.8 2.586035e-16 3.652938e-10 7.566068e-13 1.150605e-23 2.016751e-11
5.9 4.594940e-17 9.734858e-11 1.666197e-13 1.394421e-24 4.898634e-12
6   8.171061e-18 2.571151e-11 3.653333e-14 1.706944e-25 1.181895e-12
6.1 1.455546e-18 6.739561e-12 7.984735e-15 2.111590e-26 2.836046e-13
6.2 2.599391e-19 1.755405e-12 1.741358e-15 2.640822e-27 6.775969e-14
6.3 4.657200e-20 4.548277e-13 3.792911e-16 3.340051e-28 1.613601e-14
6.4 8.376423e-21 1.173480e-13 8.257968e-17 4.273383e-29 3.833410e-15
6.5 1.513262e-21 3.017559e-14 1.798503e-17 5.532144e-30 9.092782e-16
6.6 2.747287e-22 7.740027e-15 3.920796e-18 7.247645e-31 2.155029e-16
6.7 5.014369e-23 1.981784e-15 8.560930e-19 9.610461e-32 5.106750e-17
6.8 9.204838e-24 5.068600e-16 1.873194e-19 1.289979e-32 1.210690e-17
6.9 1.700000e-24 1.295687e-16 4.109294e-20 1.752857e-33 2.873124e-18
7   3.159672e-25 3.312312e-17 9.041916e-21 2.411340e-34 6.828444e-19
              2.2          2.9             2 1 1
1    0.000000e+00 0.000000e+00  0.000000e+00 1 1
2    9.327518e-08 2.492729e-44  9.977929e-01 0 0
2.1  6.176456e-02 3.873205e-26  2.207100e-03 0 0
2.2  8.199904e-01 3.076763e-16  2.837512e-08 0 0
2.3  1.164223e-01 2.807087e-10  8.717264e-14 0 0
2.4  1.813804e-03 1.596974e-06  2.096658e-19 0 0
2.5  8.877142e-06 3.944544e-04  6.147690e-25 0 0
2.6  2.331879e-08 1.228479e-02  2.610296e-30 0 0
2.7  4.416901e-11 9.125301e-02  1.705546e-35 0 0
2.8  7.163884e-14 2.425184e-01  1.735191e-40 0 0
2.9  1.103828e-16 3.022290e-01  2.720533e-45 0 0
3    1.723043e-19 2.130000e-01  6.442999e-50 0 0
3.1  2.836823e-22 9.704119e-02  2.250830e-54 0 0
3.2  5.052198e-25 3.151956e-02  1.131811e-58 0 0
3.3  9.885856e-28 7.852943e-03  7.998737e-63 0 0
3.4  2.145152e-30 1.586704e-03  7.767771e-67 0 0
3.5  5.188091e-33 2.714282e-04  1.015072e-70 0 0
3.6  1.401625e-35 4.065720e-05  1.750782e-74 0 0
3.7  4.231288e-38 5.476799e-06  3.915662e-78 0 0
3.8  1.425987e-40 6.777789e-07  1.117298e-81 0 0
3.9  5.355195e-43 7.839660e-08  4.007533e-85 0 0
4    2.235745e-45 8.594754e-09  1.782501e-88 0 0
4.1  1.034842e-47 9.033865e-10  9.710098e-92 0 0
4.2  5.294884e-50 9.190017e-11  6.404763e-95 0 0
4.3  2.985712e-52 9.119160e-12  5.061934e-98 0 0
4.4  1.849741e-54 8.884052e-13 4.747621e-101 0 0
4.5  1.255201e-56 8.543602e-14 5.237474e-104 0 0
4.6  9.301269e-59 8.147386e-15 6.740473e-107 0 0
4.7  7.504402e-61 7.733940e-16 1.004350e-109 0 0
4.8  6.573395e-63 7.331354e-17 1.720488e-112 0 0
4.9  6.233894e-65 6.958980e-18 3.366313e-115 0 0
5    6.383587e-67 6.629470e-19 7.477523e-118 0 0
5.1  7.040285e-69 6.350727e-20 1.875020e-120 0 0
5.2  8.341901e-71 6.127576e-21 5.279694e-123 0 0
5.3  1.059407e-72 5.963118e-22 1.661216e-125 0 0
5.4  1.438800e-74 5.859796e-23 5.813738e-128 0 0
5.5  2.085151e-76 5.820236e-24 2.253309e-130 0 0
5.6  3.217907e-78 5.847955e-25 9.632984e-133 0 0
5.7  5.277740e-80 5.947989e-26 4.525029e-135 0 0
5.8  9.182004e-82 6.127539e-27 2.327264e-137 0 0
5.9  1.691431e-83 6.396689e-28 1.306071e-139 0 0
6    3.293407e-85 6.769299e-29 7.972637e-142 0 0
6.1  6.766903e-87 7.264156e-30 5.277700e-144 0 0
6.2  1.464867e-88 7.906522e-31 3.777985e-146 0 0
6.3  3.335873e-90 8.730239e-32 2.916619e-148 0 0
6.4  7.979799e-92 9.780650e-33 2.422123e-150 0 0
6.5  2.002348e-93 1.111866e-33 2.158536e-152 0 0
6.6  5.263461e-95 1.282648e-34 2.059552e-154 0 0
6.7  1.447542e-96 1.501570e-35 2.099371e-156 0 0
6.8  4.159919e-98 1.783890e-36 2.281435e-158 0 0
6.9  1.247728e-99 2.150630e-37 2.637983e-160 0 0
7   3.901615e-101 2.630999e-38 3.239396e-162 0 0
attr(,"class")
[1] "smooth"
> create.smooth(ecopath_guinee,sigmaLN_cst=0.11)
                4           4.4           2.1          3.8          3.9
1    0.000000e+00  0.000000e+00  0.000000e+00 0.000000e+00 0.000000e+00
2   1.176105e-103 1.556071e-118  1.638626e-03 1.289268e-95 1.084870e-99
2.1  6.927086e-72  2.473268e-84  9.744390e-01 3.114574e-65 1.344239e-68
2.2  6.356929e-53  1.204724e-63  2.391019e-02 2.964618e-47 4.081598e-50
2.3  2.925722e-40  1.207326e-49  1.213423e-05 2.352916e-35 7.965863e-38
2.4  3.061845e-31  1.565889e-39  1.162758e-09 5.856738e-27 4.135808e-29
2.5  1.517951e-24  6.520952e-32  5.458348e-14 8.621819e-21 1.133573e-22
2.6  1.956943e-19  5.312211e-26  1.987083e-18 3.882612e-16 8.746055e-18
2.7  1.853474e-15  2.558007e-21  7.106626e-23 1.454154e-12 5.266938e-14
2.8  2.529788e-12  1.495316e-17  2.832472e-27 8.655300e-10 4.794411e-11
2.9  7.868455e-10  1.733847e-14  1.346171e-31 1.270698e-07 1.033715e-08
3    7.708063e-08  5.646509e-12  7.902304e-36 6.272526e-06 7.247259e-07
3.1  3.010053e-06  6.657923e-10  5.825421e-40 1.303931e-04 2.080440e-05
3.2  5.587021e-05  3.437879e-08  5.423579e-44 1.350038e-03 2.904178e-04
3.3  5.636948e-04  8.991463e-07  6.372298e-48 7.910306e-03 2.247447e-03
3.4  3.431139e-03  1.334113e-05  9.405423e-52 2.896068e-02 1.067391e-02
3.5  1.368010e-02  1.228412e-04  1.732249e-55 7.162590e-02 3.370930e-02
3.6  3.815752e-02  7.543144e-04  3.949655e-59 1.273587e-01 7.547498e-02
3.7  7.853384e-02  3.275005e-03  1.105485e-62 1.712173e-01 1.261838e-01
3.8  1.245848e-01  1.054801e-02  3.765724e-66 1.813374e-01 1.643490e-01
3.9  1.579286e-01  2.622459e-02  1.547879e-69 1.565229e-01 1.727023e-01
4    1.648522e-01  5.203230e-02  7.613909e-73 1.132589e-01 1.507500e-01
4.1  1.453212e-01  8.472986e-02  4.446154e-76 7.034644e-02 1.120135e-01
4.2  1.105190e-01  1.159655e-01  3.058775e-79 3.826121e-02 7.232970e-02
4.3  7.384384e-02  1.361356e-01  2.461169e-82 1.853484e-02 4.130793e-02
4.4  4.402733e-02  1.394903e-01  2.300264e-85 8.113857e-03 2.118140e-02
4.5  2.374011e-02  1.266463e-01  2.481031e-88 3.249993e-03 9.878702e-03
4.6  1.171204e-02  1.032285e-01  3.069307e-91 1.203989e-03 4.237664e-03
4.7  5.340104e-03  7.640503e-02  4.330012e-94 4.163866e-04 1.688308e-03
4.8  2.270159e-03  5.186800e-02  6.928039e-97 1.355283e-04 6.300178e-04
4.9  9.067772e-04  3.257986e-02  1.250755e-99 4.181232e-05 2.218442e-04
5    3.426321e-04  1.908268e-02 2.535539e-102 1.230334e-05 7.419329e-05
5.1  1.232075e-04  1.049429e-02 5.745407e-105 3.471891e-06 2.370251e-05
5.2  4.238661e-05  5.451809e-03 1.448945e-107 9.441348e-07 7.270098e-06
5.3  1.401666e-05  2.690070e-03 4.050383e-110 2.484774e-07 2.150581e-06
5.4  4.474075e-06  1.266871e-03 1.250214e-112 6.352962e-08 6.159952e-07
5.5  1.383653e-06  5.719243e-04 4.245596e-115 1.583330e-08 1.714561e-07
5.6  4.159756e-07  2.484735e-04 1.580761e-117 3.858187e-09 4.652280e-08
5.7  1.219347e-07  1.042525e-04 6.432107e-120 9.216874e-10 1.234110e-08
5.8  3.494420e-08  4.237776e-05 2.851418e-122 2.163825e-10 3.208696e-09
5.9  9.814409e-09  1.673717e-05 1.373154e-124 5.003117e-11 8.195744e-10
6    2.707350e-09  6.439457e-06 7.163459e-127 1.141526e-11 2.060786e-10
6.1  7.349772e-10  2.419167e-06 4.037637e-129 2.574663e-12 5.110619e-11
6.2  1.967114e-10  8.893338e-07 2.452701e-131 5.749519e-13 1.252113e-11
6.3  5.198944e-11  3.205502e-07 1.601916e-133 1.273035e-13 3.035332e-12
6.4  1.358845e-11  1.134840e-07 1.122349e-135 2.798387e-14 7.290591e-13
6.5  3.517019e-12  3.952655e-08 8.417240e-138 6.114237e-15 1.737235e-13
6.6  9.025227e-13  1.356460e-08 6.743275e-140 1.329243e-15 4.111394e-14
6.7  2.298803e-13  4.592850e-09 5.759403e-142 2.878140e-16 9.673968e-15
6.8  5.817615e-14  1.536241e-09 5.234489e-144 6.212180e-17 2.265246e-15
6.9  1.464161e-14  5.082042e-10 5.053386e-146 1.337659e-17 5.283173e-16
7    3.667753e-15  1.664481e-10 5.173179e-148 2.875607e-18 1.228241e-16
              4.3           4.2           4.1           4.1          3.1
1    0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00 0.000000e+00
2   5.958523e-115 2.791890e-111 1.618907e-107 1.618907e-107 2.409448e-63
2.1  2.544495e-81  3.035841e-78  4.228950e-75  4.228950e-75 3.131777e-39
2.2  4.878023e-61  2.205023e-58  1.116649e-55  1.116649e-55 1.062442e-25
2.3  2.371695e-47  5.049878e-45  1.166596e-42  1.166596e-42 2.990632e-17
2.4  1.703485e-37  1.960763e-35  2.385387e-33  2.385387e-33 1.129302e-11


Created & Maintained by Osamu Ogasawara (osamu.ogasawara@gmail.com) and IMSBIO