The topic has attracted attention from various worriers, who are concerned that the fertility fall will eventuall lead to negative consequences - perhaps similar to what is seen to be happening in Japan.
The fall in fertility as countries develop is widely known as "the demographic transition". I prefer another term: "the infertility epidemic". This emphasizes the similarity with past epidemics - such as the smoking epidemic, the AIDS epidemic, the obesity epidemic and the opiod epidemic. The term "infidelity" has some defects - since it typically refers to lack of fertility if people are trying to make babies - whereas the problem here also involves people not even trying to make babies. We could perhaps call it "the childlessness epidemic" if that is seen as a big issue.
What's the cause of the infertility epidemic? This has been treated by various authors. Boyd and Richerson famously explained how cultural evolution caused the demographic transition in "Not By Genes Alone".
As with the other epidemics I mentioned, I favor the symbiote hypothesis: some small, rapidly-reproducing agent is out-evolving the human hosts. Sometimes these are helped along by humans - the smoking and opiod epidemics were spread by advertising and marketing memes from big phood and big pharma - but there were also humans involved in helping these messages on their way.
The symbiote hypothesis typically leaves open the identy of the symbionts - and there may be multiple different kinds involved. For example, the obesity epidemic was spread by memes from fast food companies - but candida albicans was also likely involved.
What symbiotes are involved in the infertility epidemic? I would draw attention to memes. Sterilizing their human hosts is a common interest of many memes - and memes reside in the brain which puts them in a good position to divert host resources from host reproduction into meme reproduction. However, I suspect viruses are also involved.
Many persistent viral infections are also in a position to divert host resources from host reproduction into virus reproduction. Some persistent viral infections are known to negatively impact fertility. HPV is a famous example of human parasite-induced sterility. It blocks the fallopian tubes of women with cancer cells - preventing future births.
While the identity of the symbiotes is of interest, it doesn't really matter for the symbiote hypothesis of infertility - any and all symbiotes will do.