Exam #1 Content Flashcards
(93 cards)
Define scaling. Provide an example.
How the properties of things change.
Ex) the features of organisms
What is the equation for finding running velocity?
Running velocity =
stride length x stride frequency
What is an allometric relationship/allometry?
The relationship between two morphological parameters in a living organism. As one changes, the other also changes.
- Shape changes as size changes
Ex) Baby sheep have small horns, and adult sheep have big horns
What is the equation that represents an allometric relationship?
y=mx+b, where y is one parameter and x is another
Describe the allometric relationship between the area, square length, volume (and mass), and cube length.
Area increases with the square length, while volume (and mass) increases with the cube of length.
What are the two benefits of using log-transform on an allometric equation?
1) it turns power relationships from curves into straight lines that are easier for the human eye to interpret
2) It renders variance independent of means, which makes relationships amenable to parametric statistical analysis
What would a log-transformed allometric equation look like? What does the slope indicate in this equation?
y= log m + b log x
Slope is equal to the scaling exponent of the allometric equation
In what way is area proportional to length?
Area = Length^2
In what way is volume proportional to length?
Volume = Length^3
In what way is area and volume together proportional to length?
(Area/Volume) = Length^2/3
In what way is length proportional to mass?
Length = Mass^1/3
In what way is area proportional to mass?
Area = Mass^2/3
In what way is volume proportional to mass?
Volume = Mass
What does isometry mean?
No change in shape with change in size.
Length = Mass^1/3
Area = Mass^2/3
Volume = Mass
What is positive allometry? Provide an example
When a structure becomes relatively, as well as absolutely, larger with increasing size
Ex) Baby sheep w/ small horns and adult sheep w/ big horns
What is negative allometry? Provide an example
When a structure becomes relatively smaller with increasing size
Ex) Babies have big eyes and adults have small eyes
X represents which type of variable in a least-squares linear regression
independent variable
y represents which type of variable in a least-squares linear regression?
dependent variable
What is least-squares linear regression? What does it mean to regress variable y on variable x?
When we regress variable y on variable x, we posit a causal relationship between x and y such that a change in x causes a corresponding change in y
When you have the log-transform of both length and mass, which is the x and y?
The log(mass) is the x and the log(length) is y
What is a synapomorphy?
A shared derived character used to help categorize species into a phylogenetic tree
What is a phylogenetic tree?
A hypothesis about evolutionary relationships. Closer proximity on the tree means those species are more closely related.
What are true wings?
Structures that generate lift needed for true powered flight
What are true legs?
They are structures that have joints