Biology Lecture 13 Study Guide

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According to the phase plane diagram, what is the approximate value of the carrying capacity (K) for species 1?

$K_1 = 25$
$K_1 = 50$ (correct)
$K_1 = 60$
$K_1 = 43$

Based on the information provided, which statement best describes the coexistence of the two species?

The species can coexist, but one species will eventually outcompete the other.
The species cannot coexist because their isoclines do not intersect.
The species cannot coexist because their carrying capacities are different.
The species can coexist, and their populations will stabilize at the point where the isoclines intersect. (correct)

What is the approximate value of the population size for species 2 at the point where the isoclines intersect?

$N_2 \approx 60$
$N_2 \approx 50$
$N_2 \approx 25$
$N_2 \approx 43$ (correct)

Which of the following statements best describes the trajectory of the population dynamics shown in the time series plot?

Species 1's population initially increases, while species 2's population initially decreases, then they stabilize at the point where their isoclines intersect. (D) Signup and view all the answers

Which of the following statements is true about the stability of the ecosystem represented by the phase plane diagram?

The ecosystem is stable because the isoclines intersect, and the populations will stabilize at that point. (B) Signup and view all the answers

Based on the phase plane diagram, which of the following statements is true about the competitive relationship between the two species?

The species exhibit competition, but their populations can stabilize at the intersection of their isoclines. (A) Signup and view all the answers

In a competitive scenario between two species, what does it mean when the isoclines intersect at a point on the phase plane?

It indicates an unstable coexistence where both species cannot coexist unless their abundances are precisely at the intersection point. (C) Signup and view all the answers

According to the Lotka-Volterra competition equations, which of the following outcomes is NOT possible for two competing species?

Both species coexist indefinitely, but their abundances oscillate periodically. (B) Signup and view all the answers

If the isocline for species A is a horizontal line on the phase plane, what does this imply about the growth rate of species A?

The growth rate of species A is independent of the abundance of species B. (A) Signup and view all the answers

In a competitive scenario where the isoclines do not intersect on the phase plane, what can be concluded about the outcome?

One species will eventually outcompete and eliminate the other, regardless of their initial abundances. (B) Signup and view all the answers

What is the significance of the slope of an isocline on the phase plane?

It determines the stability of the coexistence point, if one exists. (B) Signup and view all the answers

In a competitive scenario with two species, what does it mean if the isoclines are parallel and do not intersect?

One species will eventually outcompete and eliminate the other, regardless of their initial abundances. (B) Signup and view all the answers

According to the information provided, what condition must be met for stable coexistence of two competing species?

Intraspecific competition must be greater than interspecific competition for both species. (C) Signup and view all the answers

Which of the following statements best describes the criterion for coexistence of competitors, as shown in the equations?

$K_1/\alpha_{12} > K_2$ and $K_2/\alpha_{21} < K_1$ (D) Signup and view all the answers

In the phase plane diagram, what do the regions with K's on the inside and outside represent?

K's on the inside represent stable coexistence, and K's on the outside represent unstable coexistence. (B) Signup and view all the answers

Based on the phase plane diagram and the trajectory shown, what can be inferred about the coexistence of the two species?

The species can coexist because the trajectory crosses the isoclines in the stable region. (A) Signup and view all the answers

In the phase plane diagram, what do the isoclines represent?

The isoclines represent the points where the population growth of both species is zero. (B) Signup and view all the answers

According to the information provided, what condition must be met for similar species to coexist?

Intraspecific competition must be greater than interspecific competition. (C) Signup and view all the answers