WOLFRAM SYSTEM MODELER

LBM

Larch bud moth population dynamics model

Diagram

Wolfram Language

In[1]:=
SystemModel["SystemDynamics.PopulationDynamics.LarchBudMoth.LBM"]
Out[1]:=

Information

The larch bud moth model describes the population dynamics of the larch bud moth insect in the upper Engiadina valley of Switzerland.


References:

  1. Cellier, F.E. (1991), Continuous System Modeling, Springer-Verlag, New York, ISBN: 0-387-97502-0, 755p.
  2. Fischlin, A. and W. Baltensweiler (1979), "Systems Analysis of the Larch Bud Moth System. Part I: The Larch - Larch Bud Moth Relationship," Mitteilungen der Schweizerischen Entomologischen Gesellschaft, 52, pp.273-289.


Simulate the model across 29 time units (years) and plot the simulated and the measured data together against the calendar years.


Parameters (5)

wintermortality

Value: 0.5728

Type: Real

Description: Percentage of eggs dying during the winter

biomass

Value: 91.3

Type: Mass

Description: Dry needle biomass per tree

nbr_trees

Value: 511147

Type: Integer

Description: Number of trees

egg0

Value: 4765975

Type: Integer

Description: Initial number of eggs

rawfiber0

Value: 15.0

Type: Real

Description: Initial rawfiber

Outputs (2)

LogDensitySim

Type: Real

Description: Simulated logarithmic larvae density

LogDensityMeas

Type: Real

Description: Measured logarithmic larvae density

Components (33)

Source1

Type: Source

Description: This is the (dummy) source model of System Dynamics

NewEggs

Type: Rate_1

Description: Unrestricted rate element with one influencing variable

Eggs

Type: DiscreteLevel

Description: Discrete level of the System Dynamics methodology

OldEggs

Type: Rate_1

Description: Unrestricted rate element with one influencing variable

Sink1

Type: Sink

Description: This is the (dummy) sink model of System Dynamics

Hatching

Type: Gain

Description: Gain factor

Rawfiber

Type: DiscreteLevel

Description: Discrete level of the System Dynamics methodology

NewFiber

Type: Rate_1

Description: Unrestricted rate element with one influencing variable

Source2

Type: Source

Description: This is the (dummy) source model of System Dynamics

OldFiber

Type: Rate_1

Description: Unrestricted rate element with one influencing variable

Sink2

Type: Sink

Description: This is the (dummy) sink model of System Dynamics

Incoincidence

Type: Linear

Description: Linear function

Coincidence

Type: Linear

Description: Linear function

Prod_2_1

Type: Prod_2

Description: Product of two influencing factors

Weakening

Type: Linear

Description: Linear function

Physiology

Type: Linear

Description: Linear function

TreeFoliage

Type: Linear

Description: Linear function

Prod_2_2

Type: Prod_2

Description: Product of two influencing factors

NbrTrees

Type: Const

Description: A constant factor

Starvation1

Type: Starvation

Description: Starvation function

FoodDemand

Type: Gain

Description: Gain factor

FoodSupply

Type: Linear

Description: Linear function

Prod_3_1

Type: Prod_3

Description: Product of three influencing factors

SexRatio

Type: Gain

Description: Gain factor

Fecundity

Type: Linear

Description: Linear function

Prod_2_3

Type: Prod_2

Description: Product of two influencing factors

Defoliation1

Type: Defoliation

Description: Defoliation function

Grecr1

Type: Grecr

Description: Raw fiber content function

Prod_2_4

Type: Prod_2

Description: Product of two influencing factors

LarvaeDensity

Type: Gain

Description: Gain factor

Logarithm1

Type: Logarithm

Description: Logarithmic transformation

Measurement

Type: Tabular

Description: Tabular function

Logarithm2

Type: Logarithm

Description: Logarithmic transformation