The ones I've seen show world population peaking in about 2050, then declining.

Is the area in decline?

If the agent says the seller will not accept that, have the agent present the offer and to have the seller sign a document saying they saw the offer and are declining it.

Since she is under the impression her property is worth more than what I offered, she politely declined.

I consistently purchase homes for under 20k with rehabs from 15-25k that have ARVs of $70,000 - $110,000k Out of curiosity, how do you hedge against, and/or manage the risk of, declining population and thus housing demand in the area, as well as declining income?

I put an offer on the house that I analysis and it was declined, but I know there will be another that I'll get. 

She declined the offer, and insisted that she wanted to do everything right away and based on pictures. 

So what if it gets declined move on to the next and try again, sooner or later you'll find one that says yes. 

I'd expect maybe half of that at best (for future readers that is assuming it's in a declining market in a so-so area not everywhere).

Can you think of an increased expenditure that has caused a significant RE price decline in Coastal So Cal?