Natural selection drives evolutionary change by favoring individuals with traits better suited to their environment. For natural selection to significantly shape a trait like limb length in a population, several conditions must be met.
Let's examine each statement in the context of these requirements:
This statement directly addresses the variation requirement. Without variation in limb length, there would be no different traits for selection to act upon.
This describes an acquired characteristic, influenced by environmental factors or use during an individual's lifetime. Natural selection operates on heritable traits, not traits acquired through use or disuse. Therefore, this is not a necessary condition for natural selection.
This statement addresses the inheritance requirement. For natural selection to lead to changes in limb length across generations, the variations in limb length must be passed down genetically from parents to offspring.
This statement covers the differential survival and reproduction aspect. It links the variation in limb length (via running speed) to fitness, meaning individuals with certain limb lengths are more likely to survive and reproduce than others. This is the core of the selection process.
Based on the analysis, the necessary conditions for natural selection to shape limb lengths are variation (Statement 1), inheritance (Statement 3), and differential survival and reproduction (Statement 4). Statement 2 describes an acquired characteristic mechanism, not natural selection.
Therefore, the necessary conditions are represented by statements 1, 3, and 4.
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?
