The 2011 FAO Report "The state of Food Insecurity in the World" (SOFI) explored this issue to some extent. On page 14, 15 and 16 the report analyzes the relataionship between food prices and labour.
On page 17, for instance, we find "In addition to affecting different types of households differently, changes in food prices also affect different household members differently. For example, women’s participation in the labour force may increase substantially during economic crises,21 such as when males migrate in search of better employment. The resultant additional workload places stress on the time they have available to engage in household work and child care. The mortality of infant girls also increases more than that of infant boys during crises."
The FSN Forum is supported by the project Coherent food security responses: incorporating right to food into global and regional food security initiatives.