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

Botany. Architectural Analysis

Architectural Unit


The physiological age
    While describing the various elementary botanical entities (phytomer, growth unit, annual shoot) , their differentiations should be examined according three gradients in time, called chronological, ontogenetic and physiological ages, respectively.
  • The chronologic age or calendar age corresponds simply to the period (i.e. year, month, week or day of formation for instance) in which the elementary botanical entity was edified.
  • The ontogenetic age refers to the elapsed time after seed germination (the ontogenetical time unit considered may be a year, a day or a growth cycle according to the specific complexity and growth pattern of the species).
  • The physiological age of a meristem refers to the degree of differentiation of the structures it has produced.

    The physiological age may be estimated a posteriori by a non-limitative series of qualitative and quantitative criteria.
    For example, the short axes of many trees are typical features of physiologically aged structures: growth units are short, bear flowers and have a short lifetime.
    These highly differentiated axes may be considered as physiologically old whatever their moment of appearance.
    By contrast, main axes consisting of vigorous growth units and/or annual shoots may be considered as physiologically young products and generally appear only in the young tree.

    On architectural units showing a clear axis typology, the physiological age is set as an index of this typology, starting from 1 to the trunk (if monopodial), up to the brachyblasts, given the highest physiological age.

    Chronological, ontological and physiological ages
    Age identifications on diagrammatic representations of Cedrus atlantica (Drawings S. Sabatier, CIRAD)
         Left: chronological ages, defined from the successive growth sequences.
         Middle: ontogenetic ages, defined from the successive growth sequences, relative to the axis appearance date.
         Right: physiological ages, defined from the axis typology.
         a) tree elevation view, b) view of a tier of branches, c) view of a branch annual shoot bearing a short shoot.

    The identification for a botanical entity of these three ages is fundamental for understanding the comprehensive architecture of a plant or even its plasticity, i.e. the effects of the environment on its development and structure.
    It permits the precise characterization of all elementary levels of organization within the more integrative individual architecture and allows a precise multi-level description of plant architecture and organization.

Bibliography

Barthélémy, D., Caraglio, Y. 2007. Plant Architecture: A Dynamic, Multilevel and Comprehensive Approach to Plant Form, Structure and Ontogeny. Annals of Botany, 99 (3) : pp. 375-407 19 (access to paper and pdf)

Definition

Physiological Age (of a meristem)
Botany. Relates to the degree of differentiation of the structures produced by the meristem. It can be defined by a combination of morphological, anatomical and functional attributes of resulting entities. Notion introduced by Barthélémy and Caraglio (2007).