Step 1: Recall what lineage means:
Lineage is the line of descent from a common ancestor. A society counts it through the father, the mother, or both. This count is what the question calls lineage structure.
Step 2: Link descent to property:
When a family counts descent through one parent, the property, title and family name naturally move along that same line. Sons inherit in patrilineal families. Daughters inherit in matrilineal ones.
Step 3: Compare with the other rules:
Authority is about who gives orders at home. Residence is about where the couple stays. Marriage rules are about the choice of partner. Each of these is set by custom and need not follow descent.
Step 4: Eliminate and pick:
Since only the inheritance rule follows the descent line step for step, options 1, 2 and 4 can be removed.
Cross-check:
Think of a simple case to confirm this. In a matrilineal community such as the Khasi, the youngest daughter receives the family property, and descent is traced through the mother. In a patrilineal community the sons receive it. Where the couple lives or who gives orders may stay the same in both cases, but the property moves with the line of descent. This simple contrast shows that inheritance is the rule most closely tied to lineage.
Final Answer:
The function tied to lineage structure is inheritance.
\[\boxed{\text{Option 3}}\]