17/4 - breeding and modeling Flashcards
What is a model?
A model is a human construct that facilitates the understanding of real world systems
Also a metaphor for highly (overly?) simplified scientific models of complex real life phenomena
What a model is NOT?
Model ≠ Mathematics ≠ Modelling software
Mathematics–the formalism for quantitative models.
- Vad berättar detta?
- how the model does what it is supposed to do
- a simple, clear of
epresentation antitative mode
Modelling software — the tool a tool to facilitate calculations many options:
- Vad berättar detta?
- a tool to facilitate calculations
- many options: generalized
spreadsheet; modelling
software, high level
programming language
Crop modelling –What for?
- Crop models for research
- compare teories
- fill knowlage gaps
- get research questions
- Prioritize experiments
- Quantify expected results, with complex interacting factors:
- improve genetics or management
- Predict the future:
- klimate change
- Synthesize knowledge across disciplines
2. Crop models for crop management - Describe the effects of complex factors
- utgå från tidigare fall to predict
- Definition of best management practices
BUT
Applications are limited by availability and quality of input
User needs to understand model structure to grasp limitations
Steps to modelling
1) Definition of model purpose and system boundaries
2) Conceptualization: a conceptual, verbal description of the interactions within the system and its behavior
3) Quantification: coupling of functions, rules, equations to describe quantitatively the interactions within the system and its behavior
4) Calibration: adjustment of the model parameters to improve the representation of the system by the model
5) Validation: checking the accuracy of the model’s representation of the real system
6) use
7) Comparison with collected data - back to 1
Comparison with collected data - hur ta fram en modell för tillväxt som resultat för c fixation
Goal: model plant biomass growth
Systekm boundaries:
a single plant
A verbal description
plant biomass increases as a result of carbon fixation; a larger biomass
results in more carbon fixation”
A graphical representation: Causal Loop Diagram
- plant biomass påverkar c fixation posetivt som i sin tur påverkar plant biomass
Model calibration and validation
Model calibration
get the parameter r (increase in plant biomass per unit existing biomass and unit time) to best
describe the observed data
Model validation:
compare the result with another dataset
Plant biomass growth -Logistic
- plant growth utifrån c fixation och available nutrients
A verbal description:
plant biomass increases as a result of carbon fixation; a larger biomass
results in more carbon fixation, but a very large biomass reduces available
resources and hence carbon fixation and hence biomass growth
graf: casual loop diagram
lägger till ytterligare en funktion
Exponential growth and Logistic growth
Exponential growth: One parameter only; works well early in the growing season
Logistic growth: Two parameters; needed for late in the growing season
Descriptive
vs.
Predictive
Descriptive: Simply describe the observations, within the context of the current experiment
Predictive: Extrapolate beyond the scope of the experiment and current results - fortsätter framåt utifrån biomassen man har i början
Empirical (or functional)
vs.
Mechanistic (or process-based)
Empirical : Relying on (statistical) description of the observations (e.g., regression models)
Mechanistic: Constructed around a mechanistic understanding of
the underlying processes; explicitly representing
processes and cause and effect relations; can be used
for predictions and extrapolations (up to a certain
point)
Note that all process-based models become empirical
at lower levels of organization
Vad visar emperical och Mechanistic
Empirical model: parameter r obtained
from curve-fitting to data
Mechanistic model: describes th
processes leading to plant growth an
embeds them into the parameter
Vad baseras Mass balance på
based on the principle of conservation of mass
vad baseras Energy balance på
based on the principle of conservation of energy
Vilka varibles finns i modellen med växten?
Carbon Water Nitrogen Biomass = mass balans
Available solar
radiation
Leaf temperature
= energy balance
vilka kontroll volumes är av intresse i växten?
Entire plant or single leaf
Soil volume explored by the roots
Vilka growing conditions kan påverka växten?
Temperature and developmental stage
Effects of water limitation