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 *__________

Preliminary Course.

Plant and crop Models

Functional structural plant models (1)


Functional structural models

Functional structural plant models (FSPM) simulate the development of plant structure, taking into account plant physiology and environmental factors. They are usually accompanied by visualization of the plant's 3D architecture.


Functional-structural plant models explore and integrate relationships between a plant's structure and processes that underlie its growth and development.

In recent years, the range of topics being addressed by scientists interested in functional-structural plant modelling has expanded greatly. FSPM techniques are now being used to dynamically simulate growth and development occurring on a microscopic scale involving cell division in plant meristems up to the macroscopic scale of whole plants and plant communities. The plant types studied also cover a broad spectrum from algae to trees.

FSPM are highly interdisciplinary and involve scientists with backgrounds in plant physiology, plant anatomy, plant morphology, mathematics, computer science, cellular biology, ecology and agronomy.



Principles
    Functional structural plant models (FSPMs) can be defined as models that combine descriptions of metabolic (physiological) processes with a presentation of the 3D structure of a plant. They usually contain the following components ( R. Sievänen, 2009 )
    • Presentation of the plant structure in terms of basic units
    • Rules of morphological development
    • Models of the metabolic processes that drive plant growth


    PBM and FSPM main differences (from the functional viewpoint)
    - In PBM, biomass production is shared from a common pool, while in FSPM, biomass is distributed locally, using the plant structure as a transportation system.
    - Organs are processed as compartments in PBM, and are individualized in FSPM

    PBM and FSPM
    Organ source and sink policy in PBM and FSPM (Drawing P. de Reffye, CIRAD)
    The organ compartments are usually limited to organ types in PBM, competing for a common biomass pool. While in FSPM, each organ is individualized, both for sources (locally produced by leaves) and sinks.



    The main emphasis in FSPM applications has been on individual plants. It is understandable because, due to the detailed description of the plant structure and, consequently, of the local environment of each organ, FSPM tend to require a large number of parameters and/or input data. Owing to the large amount of information they contain about the plant to be modelled, they also tend to be computationally heavy.

Bibliography

Sievänen, R., Perttunen, J., Nikinmaa, E., and Posada, J.M. 2009. Functional Structural Plant Models - Case LIGNUM. (Invited Talk). In: Proceedings of Plant Growth Modeling, Simulation, Visualization and Applications (PMA), 2009 Third International Symposium on , 9-13 Nov. 2009, IEEE Compute Society, pp.3-9, doi: 10.1109/PMA.2009.64


Definition

FSPM (Functional Structural Plant Model)
Modelling. (abrev.) Stands for "Functional Structural Plant Model". Qualifies a mathematical or computational model that expresses both the plant architecture (the structure) dynamics thru the development and its production dynamics thru the organ geometrical development.