COURSES

-> About this Resource
Scope *______
Map *____

-> Preliminary Courses
Contents & Objectives *__________________
Map *____
-> Botany
Contents & Objectives *__________________
Map *____
-> Axis Typology Patterns
Typology basis *___________
Pictograms *_________
Sexuality & development *___________________
Growth *______
Branching rhythms *______________
Branching delays *_____________
Branching positional *________________
Branching arrangement *__________________
Axis orientation *_____________
Architectural models *________________
-> Architectural Unit
About Arc. Models *______________
Models limitations *______________
Architectural Units *______________
Reiteration *_________
Sequence of development *___________________
Morphogenetic gradients *___________________
Physiological age *_____________
-> An Example
Wild Cherry (young) *_______________
Wild Cherry (adult) *______________
Wild Cherry (mature) *________________
Quiz *____
Case study Quiz *_____________
Supplementary resources *____________________

-> Eco-Physiology
Contents & Objectives *__________________
Map *____
-> Growth Factors
Factors affecting Growth *___________________
Endogenous Processes *_________________
Environmental Factors *_________________
Thermal Time *___________
-> Light interaction
P.A.R. *_____
Light absorption *_____________
Photosynthesis *___________
Respiration *_________
Maintenance respiration *__________________
L.U.E. Model *__________
Density effect *___________
Density effect on crop *__________________
-> Biomass
Biomass Pool *__________
Biomass Partitioning *_______________
Crop models *__________
A Crop model example *__________________
Quiz *____
Supplementary resources *___________________

-> Applied Mathematics
Contents & Objectives *__________________
Map *____
-> Probabilities
Section contents *____________
Discrete Random Variable *___________________
Expected value, Variance *___________________
Properties *________
-> Useful Laws
Bernoulli Trials *___________
Binomial Law *__________
Geometric Law *____________
Negative Binomial Law *_________________
-> Dynamic systems
Section contents *_____________
Useful functions *____________
Beta density *__________
Exercises *________
Negative Exponential *________________
Systems functions *______________
Discrete dynamic systems *___________________
Parameter Identification *__________________
Parameter estimation *________________
Supplementary Resources *____________________


-> GreenLab courses
GreenLab presentation *__________________
-> Overview
Presentation & Objectives *____________________
Map *____
Growth and components *___________________
Plant architecture *_______________
Biomass production *________________
Modelling - FSPM *______________
GreenLab principles *________________
Applications *__________
Supplementary resources *_____________________
-> Principles
Presentation & Objectives *____________________
Map *____
-> About modelling
Scientific disciplines *________________
Organs: tree components *___________________
Factors affecting growth *___________________
Model-simulation workflow *____________________
GreenLab inherits from *__________________
GreenLab positioning *_________________
The growth cycle *______________
Inside the growth cycle *___________________
Implementations *______________
Supplementary resources *____________________
-> Development
Presentation & Objectives *____________________
Map *____
Modelling Scheme *______________
Tree traversal modes *________________
-> Stochastic modelling
Principles *_______
-> Development
Growth Rhythm *____________
Damped growth *____________
Viability *______
Rhythmic axis *___________
Branching *________
Stochastic automaton *_________________
-> Organogenesis equations
Principles *_______
Organ cohorts *___________
Organ numbering *_____________
Substructure factorization *____________________
Stochastic case *____________
-> Structure construction
Construction modes *_______________
Construction basis *______________
Axis of development *________________
Stochastic reconstruction *___________________
Implicit construction *________________
Explicit construction *________________
3D construction *____________
Supplementary resources *____________________
-> Production-Expansion
Presentation & Objectives *____________________
Map *____
-> EcoPhysiology reminders
Relevant concepts *______________
Temperature *__________
Light interception *______________
Photosynthesis *___________
Biomass common pool *_________________
Density *______
-> Principals
Growth cycle *__________
Refining PbMs *___________
Organ cohorts *___________
GreenLab vs PbM & FSPM *___________________
-> GreenLab's equations
Summary *_______
Production equation *_______________
Plant demand *__________
Organ dimensions *______________
A dynamic system view *__________________
Equation terms *____________
Full Model *________
Model behaviour *______________
Supplementary resources *____________________
-> Applications
Presentation & Objectives *____________________
Map *____
-> Measurements
Agronomic traits *_____________
Mesurable/hidden param. *___________________
Fitting procedure *______________
-> Fitting structure
Principles *_______
-> Development
Simple development *_______________
Damped growth *____________
Rhythmic growth *_____________
Rhythmic growth samples *___________________
Mortality *_______
Branching *________
-> Crown analysis
Analysis principles *______________
Equations *________
Example / Exercise *_______________
-> Case study
Plant Architecture *______________
Development simulation *__________________
Introducing Biomass *_______________
Biomass partitioning *_______________
Equilibrium state *_____________
Supplementary resources *____________________

-> Tools (software)
Presentation & Objectives *_____________________
Map *____
Fitting, Stats *___________
Simulation *_________
Online tools *__________

GreenLab Course

Overview

Biomass production.


Plant production

Plant production (biomass) modelling sets out to predict, plant crops quantitatively, and to optimize crop management sequences.

    Plant production modelling: a macro-scale approach

      Plant crop models were introduced by the Dutch researcher de Witt in 1970.
      Plant crop models involve various climatic and vegetation parameters, indexes and data:

      • climatic parameters (light, water, temperature)
      • leaf indexes (such as leaf area per m2)
      • yield indexes (the ratio of biomass related to the crop compared to the total biomass)
      • etc.
      Such models try to express the photosynthesis process by an equation summarizing a daily dry biomass production per unit area (m2).

      In those models, also called crop models, biomass production is considered for a unit area (m2) level, not on an individual plant level.

      Field experiments have shown relations (laws) explaining macroscopic functional behaviour in plants, without considering the deeply complex physiological processes of photosynthesis or respiration, or considering aspects at cell level.

    Agronomic laws

      Thermal time

      One noteworthy empirical law at plant level is the notion of thermal time.
      Thermal time corresponds to the sum of average daily temperatures received by the plant.
      Experiments have proved that plant organ development (both for organogenesis and expansion) appears unstable depending on the calendar time, but becomes linear with thermal time.
      In other words, the occurrence of germination, flowering, new leaf emissions from terminal buds tales place beyond a specific sum of temperatures.
      Thermal time therefore drives development sequences in plants.
      Thermal time thus defines the growth cycle steps (rather than a calendar schedule) in most agronomic crop models.



      Light interception

      The other point to consider in the production of dry matter (DM) is the relationship between growth and light interception.
      In its simplest form, this relationship can be expressed by the following equation:

        DM = LUE . PAR . (1 - e k . LAI ). (Eq. 1)

        where
          LUE is Light Use Efficiency, i.e. the efficiency of light conversion to dry matter for the active part of the radiation (PAR) received by the cover.
          LAI is the Leaf Area Index, i.e. the leaf area per m2 in the crop.
          The higher this index is, the more light is intercepted by the foliage.
          The coefficient k is determined empirically.   The exponential term models how the leaves cover each other, reducing light efficiency.

      This formalism based on the light intercepted by the foliage is the Beer-Lambert law.

      Notes.
      1. Beyond a LAI value of 4, all the light is intercepted and dry matter production saturates.
      Additional leaves are no longer effective and increasing the planting density is pointless.
      2. Under favourable conditions barely more than 20 grams of dry matter can be produced per day per m2.