In many warm climates, locusts feed on agricultural crops and lizards feed on locusts. Which of the following is most analogous to the effect that eradicating the tsetse fly would have on African grasslands? 1\. Locusts transmit a deadly parasite from the agricultural crops to the lizards. 2\. Lizards are dependent upon both the locusts and the grasslands for nourishment. 3\. Elimination of the locusts results in bumper wheat crops. 4\. Elimination of lizards results in locust infestation and devastation of agricultural crops.

For the first step, we need to understand the biological relationships in the exercise context. In many warm climates, it's mentioned that locusts feed on crops and lizards feed on locusts. We can infer that in negating the presence of locusts, the lizards would lose their source of food, which wouldn't necessarily benefit the crop. However, eradicating the locusts completely might initially lead to the growth of crops, as their primary pests are gone.

Next, we must go through each option individually and compare it to the scenario given. 1. Locusts transmitting a deadly parasite doesn’t seem to mirror the exact relationship in African grasslands after the eradication of the tsetse fly. Hence, we can rule this one out. 2. Lizards being dependent on both the locusts and the grasslands - while it emphasizes the relationship between species - this does not make an analogous situation regarding the consequences of a species' removal. 3. The elimination of the locusts resulting in bumper wheat crops - this scenario outlines a positive consequence of species removal (although temporary and possibly leading to other issues later which is another topic), but it does not capture the same dynamics as the tsetse fly eradication.

4. The elimination of lizards resulting in locust infestation and devastation of agricultural crops - in this case, removing one animal (the lizards) leads to an overgrowth of another (the locusts), which results in a negative impact on the environment (the crops). This scenario appears to best match the potential situation in the African grasslands if the tsetse fly were eradicated.

So, after meticulously going over all the available choices, the correct analogy appears to be the 4th option: 'Elimination of lizards results in locust infestation and devastation of agricultural crops.' However, always remember that ecological relationships are highly complex and the long-term impact of species eradication is often unpredictable and potentially detrimental to the ecosystem as a whole.