Is a country in economic downturn if its growth rate is negative, but improving? As I understand it, economic downturn means that economic growth is significantly slowing down or entering into recession. (If anyone wants to correct me, please do so). i.e. Growth rate is decreasing.

But what if the country is already in recession, but its growth rate is increasing? i.e. -5% one year, -3% the next, -2.5% the next, etc. Is this still classed as downturn (since the economy is still shrinking) or is it not since the growth rate is actually increasing despite being negative?
I'm no macroeconomist, so other will correct me if I am wrong, but I would use the following definition:



More formally, if $Y(t)$ is GDP at time $t$, one could express this as

Recession: $Y'(t)&lt;0$ for 6+ months

downturn: $Y''(t)&lt;0$

recovery: $Y''(t)&gt;0$.

The definition of recession (2 quarters of negative growth) is widely standardised. I think the definition of downturn and recovery is less standard, and therefore more subject to debate.