There are two types of relationships which describe the connection in your sentence, in a
feedback loop
there is an explicit, direct link between the processes, one part is dependent on the other. An example is a heating system and a thermostat:
1) thermostat reading is cold
2) thermostat turns on heater
3) heater heats room
4) thermostat reading is hot
5) thermostat turns off heater
another example is supplying oxygen to an active body
1) person becomes active
2) activity causes oxygen deprivation
3) heart and breathing rate increase to compensate
4) person stops activity
5) heart and breathing rate decrease
another kind of relationship is a
reciprocal process
an example of this is humidity and rainfall
1) water evaporates
2) humidity increases
3) air becomes saturated
4) it rains
5) rain water evaporates
in a reciprocal relationship, the parts are not explicitly linked but can be related. Just because water evaporates, does not mean it will rain.
Symbiosis is a type of a reciprocal relationship, clown fish and anemones are an example
(source: ocellarisclownfish.com)
In your example,
food production effects climate change
it is well known that irrigation and farming practices can effect gas levels and geography which can then effect climate. The change in climate may effect what types of plants and animals are grown, though over a long period of time.
Because humans are involved in deciding what gets farmed, this may be thought of as a feedback loop if climate change effects the farmer's decisions. Otherwise it is merely a statement about causality (very simply)
1) farmers grow cows
2) cows emit methane, a greenhouse gas
3) earth temperature rises
4) water becomes scarce since the saturation point rises
5) brought causes lack of feed production
6) cows die
Possibly the speaker in your example might use
cause and effect process
since the closing of the "loop" is not explicitly stated.