Understanding the argument -
Scientist: Cross-sections of stalactites - calcite formations deposited on cave ceilings by seeping water - can reveal annual variations in rainfall in particular areas over hundreds and thousands of years. Opinion
We often found that when - according to these cross-sections - drought occurred in a particular area, it coincided with the collapse of an ancient society in that area.
- Fact. Conditional.
I hypothesize that drought reduced agricultural productivity in these areas, thereby leaving these societies without the resources needed to handle internal stresses and external threats. - Drought - reduced agricultural productivity - collapse (leaving these societies without the resources to handle internal stresses and external threats.)
This is not just X causing Y. This is X causing Z, which caused Y. We need to weaken the bridge or link, which is Z, leading to something else, say "A" caused Y.
Option Elimination -
A. Many droughts indicated in the cross-sections of stalactites do not correspond with the collapse of a society in that area. - This is ridiculous. "Many droughts indicated in the cross-sections of stalactites" as if "cross-sections of stalactites" is some hard disk or memory which, when opened (how?) showed that many (many can be at least 2) didn't correspond to collapse. Ok, let's assume that, yes, "cross-sections of stalactites" are a hard disk. Many can be at least 2, so two did not, but what about 98%? How about if 98% correlated? The conclusion is still valid. Distortion.
B. Information from the cross-sections of stalactites alone cannot reveal the level of agricultural output in an area at a particular time. - ok, so when we say it alone, didn't we already establish the connection by saying it's not alone? There are others as well. So it means it contributed along with others. Strengthen.
C. Most of the societies that collapsed during droughts did so when internal power struggles coincided with military raids from neighboring societies. - This is a big trap as it doesn't even talk about the bridge, which is agricultural productivity. It just states X, which is drought, and Y, which is collapse. Then, it shares another event happening simultaneously: internal power struggles coinciding with military raids from neighboring societies. Did it establish or break any connection? No. It just added some "B" events. It's a pseudo "A" or another cause: It just played with our rule book and considered it the alternate reason. Let me share one hypothetical situation to make it clear. Most of the societies that collapsed during droughts did so when Shakira danced. Did it establish that "Shakira's dance" caused the collapse, and it's an alternate reason? No, it just shared some random unrelated or related event and created a pseudo-alternate cause without touching, breaking, or making any causal connection with "Y." The Scope of our argument is to weaken: Drought - reduced agricultural productivity - collapse. Did it talk about the scope of the argument? No. Most societies that collapsed during droughts did so when X. Collapse and X are independent events without any link between them. Distortion.
D. Most of the societies that collapsed during droughts maintained large stockpiles of food and water at the time of their collapse. - It directly deals with the linkage and breaks the link. We don't know how long these stockpiles last, but will that matter here? We are just trying to break the linkage that "Drought - reduced agricultural productivity - collapse (leaving these societies without the resources to handle internal stresses and external threats.). The mere presence of the "large stockpiles" at the time of collapse casts doubt that "agricultural productivity" was the reason. Even if the stockpiles didn't last indefinitely, their presence suggests that the societies had enough resources to withstand temporary agricultural shortages caused by droughts, weakening the direct link between drought and collapse proposed by the scientist's hypothesis.
E. Information from stalactites also suggests that the collapse of some societies coincided with periods of abnormally high rainfall. - It may suggest 100 other things that we are not concerned about. And "some societies" can be at least 2. How about the remaining 98%? At best, it's out of scope.