Final answer:
Species coexistence requires that the isoclines cross, which is necessary but not sufficient for coexistence. The crossing does not ensure higher densities than if each species were alone; other factors also affect coexistence.
Step-by-step explanation:
The question pertains to the concept of zero population growth isoclines in the context of two competing species, which relates to the Lotka-Volterra competition model in ecology. An isocline represents all the points where a particular species' population remains constant due to a balance of factors such as birth and death rates. To achieve species coexistence, the zero population growth isoclines for two species must cross; however, this is only a necessary condition, not a sufficient one. Coexistence is also determined by other factors such as resource allocation and interference competition.
Option 1 states that the crossing of the isoclines is necessary for coexistence, which is correct. Option 2 incorrectly suggests it is sufficient. Option 3 is not necessarily true as species may compete for resources leading to reduced densities compared to when each species is alone. Therefore, the final answer is that option 1 is true: Species coexistence requires that the two isoclines cross. Option 4 is incorrect because it includes the inaccurate statement of option 3.