From an original population \(P\) of a butterfly species, two experimental populations \(X\) and \(Y\) were established. In \(X\), males and females were maintained in standard conditions, and females were allowed to mate and lay eggs. Only eggs from females laying small clutches (i.e., \(S\) eggs or fewer) were allowed to hatch and the rest were not utilized. In \(Y\), males and females were maintained in standard conditions and females were allowed to mate and lay eggs. From each female, \(S\) eggs were randomly selected and allowed to hatch, and the rest were not utilized. After 20 generations of these experimental conditions, relative to the original population \(P\), and assuming that clutch size is under genetic control, we expect clutch size to be ______________________in \(X\) and ___________________ in \(Y\).
The question asks to predict the change in clutch size for two experimental butterfly populations, \(X\) and \(Y\), relative to the original population \(P\), after 20 generations. Clutch size is assumed to be under genetic control, and different selection methods are applied.
Population \(X\) employs truncation selection. Only eggs from females laying small clutches (i.e., \( \le S \) eggs) are allowed to hatch. This selection directly favors the genetic traits associated with smaller clutch sizes.
Over 20 generations, this consistent pressure will lead to an increase in the frequency of genes promoting smaller clutches. Consequently, the average clutch size in population \(X\) is expected to be reduced relative to the original population \(P\).
Population \(Y\) uses a different method: \(S\) eggs are randomly selected from each female. This limits the number of offspring per female but does not specifically target the genetic basis of clutch size for reduction.
For example, a female genetically prone to large clutches still contributes offspring if \(S\) eggs are selected from her clutch. This random selection of a fixed number of eggs does not apply consistent directional selection pressure against genes for larger clutches, unlike in population \(X\).
Therefore, the genetic variation influencing clutch size is less likely to be significantly altered in a directional manner, and the average clutch size in population \(Y\) is expected to remain relatively same as the original population \(P\).
Summarizing the effects:
Thus, clutch size is expected to be reduced in \(X\) and same in \(Y\).
Aphids feed on both alfalfa and clover plants. A researcher collected and reared different genotypes of aphids from separate alfalfa and clover fields. He then measured the fecundity of both aphid groups when fed on each of the two host plants. The figure summarizes the performance of aphid groups originating from alfalfa (dashed) or clover (solid).
Which one or more of the following situations does the figure depict?
There are two species, X and Y, with abundances $x$ and $y$, respectively. Species X has growth rate $\alpha$, and species Y has growth rate $\beta$. Assume that the sum of the species abundances is constant over time, i.e., $x + y = 1$. Let $x$ and $y$ follow the rate equations:
$$\frac{dx}{dt} = \alpha x - \varphi x,$$
$$\frac{dy}{dt} = \beta y - \varphi y,$$ where $\varphi$ is the average species fitness.
Which one of the following options correctly represents the expression for $\varphi$?
The figure illustrates the soil zinc tolerance of the grass species Anthoxanthum along a transect from inside a mine to the middle of a pasture outside the mine.

Which one or more of the following processes explain(s) the observed pattern of zinc tolerance in this grass species?
A researcher estimates the relationship between reproductive success ($N$, number of offspring) and horn length ($H$, in cm) in a wild goat as
$N = 40 – 2.2H + 0.04H^2$
Horn length typically varies from 10 cm to 50 cm in this species. Which one of the following graphs correctly represents this relationship?
