"Hunter–gatherers have less famine than agriculturalists" -- https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3917328/

"Here, we analyse famine frequency and severity in a large cross-cultural database, in order to explore relationships between subsistence and famine risk. This is the first study to report that, if we control for habitat quality, hunter–gatherers actually had significantly less -- not more -- famine than other subsistence modes."

There is no sepcific time frame mentioned in the paper, the closest thing I saw was the NASA satelite data from the early 2000s. And that period in time can hardly be uses to draw conclusions about HG and agriculturalist lifestyles throughout history.