shphase_el

Shows phase diagram of scaled reserve density and scaled structural length

Contents

Syntax

shphase_el(F,d)

Description

The routine plots the phase diagram of scaled reserve density e and scaled length l. Embryos start at infinitely large scaled reserve density, but after birth, it is confined on the interval from 0 till 1. Scaled length is always between 0 and 1. The direction field is given with arrows, the null-isoclines in red curves. The green curves represent stage transitions: embryo to juvenile (where feeding is switched on), and where the mobilisation flux equals the somatic maintenance costs. If the organism could shrink, it would die at this border. The magenta box gives the border of possible values for juveniles and adults. Notice that the principle of weak homeostasis can be clearly seen from this direction field: any trajectory first bends to the null-isocline for e, than continue into the direction of the null-isocline for l, following the null-isocline for e.

Input

Remarks

Shrinking should be faster than indicated here cf {231}; run pars_animal befor running this function. See shphase_memv for phase diagram of reserve and structural mass. The scaled reserve density e and the scaled length l relate to the reserve mass and the structural mass as e = M_E * M_Vm/ (M_V * M_Em) and l = (M_V/ M_Vm)^(1/3).

Example of use

shphase_el(1,100)

truncate direction field to avoid problems with vector plotting

xrange [0:1]

yrange [0:1]