[General Information]

Function Name=Allometric1	; name show up in the select function dialog
Brief Description=Classical Freundlich Model, has been used in the study of allometry.
Function Type=Built-in		; source type, built-in, user-defined, external dll
Function Form=Expression	; function form;
Function Source=fgroup.Allometric1
Number Of Parameters=2
Number Of Independent Variables=1
Number Of Dependent Variables=1


[Fitting Parameters]

Naming Method=user-defined
Names=a, b
Lower bounds=--,--
Upper bounds=--,--
Meanings=coefficient, power


[Independent Variables]

x =


[Dependent Variables]

y =


[Constants]


[Formula]

y = a*x^b

[Constraints]

[Parameters Initialization]
sort( x_y_curve );
//smooth( x_y_curve, 2 );
Dataset dx;
x_y_curve.AttachX(dx);
dx = ln(dx);
x_y_curve = ln( x_y_curve );
double coeff[2];
fitpoly( x_y_curve, 1, coeff);
a = exp( coeff[0] );
b = coeff[1];


[Initializations]


[After fitting]


[Controls]
General Linear Constraints=Off
Initialization scripts=Off
Scripts After fitting=Off
