# week 10 Flashcards

1
Q

What are models used for?

A
• Testing verbal intuition (is it logical?)
• Generating new predictions
• Guiding experimental designs
• Establishing formal links between cause & effect
2
Q

What are dynamic models?

A

Describe how a variable – or a system of variables – changes over time.

3
Q

What do dynamic models describe?

A
```Can describe changes in cells, tissues, individuals, populations, and species assemblages, e.g.:
• Diffusion throughout a cell
• Cancer spread within an individual
• Gene freq. change in a population
• Species competition```
4
Q

What is a Deterministic model?

A

Model that does not take chance into effect

5
Q

stochastic models what are they?

A

models that account for the role of chance

6
Q

discrete models defintion?

A

time is measured in discrete steps

7
Q

continuous models defintion?

A

time meaner continuously

8
Q

What is pseudo-deterministically?

A

Stochastic models can behave “pseudo-deterministically” when deterministic processes are strong (e.g., strong natural selection vs. weak genetic drift)

9
Q

When are Continuous and discrete time models similar?

A

Continuous and discrete time models have similar dynamics when rates of change are slow.

10
Q

When do Continuous and discrete time models diverge?

A

Continuous and discrete models can diverge dramatically when the “jumps” in discrete time models are large.

11
Q

Steps in Constructing an analyzing dynamical models?

A
1. Start by formulating a question
2. Identify the basic ingredients of the model, including
3. Qualitatively describe the system
4. Quantitatively describe the system
5. Analyze the equations
12
Q

parts of formulating a question?

A
• What conditions promote growth or decline of a population?
• What is the timescale or rate of population size change?
• When should we expect populations to be stable/unstable?
13
Q

basic ingredients of the model?

A

Variables (things that change over time)

Parameters (constants in the model)

14
Q

Qualitatively describe the system

A

If order of events is important, use a discrete-time model
• Construct a life-cycle diagram of the events:
Recursion equations of discrete-time models