Canem Malum, thanks for the links but:
the first link is nit-picking with a focus on economics and not particularly relevant or useful
the next two are protected by pay walls
the 4th isn't a review
the 5th also nit picks and is not much of a review of the authors' claims.
My suggestion is you read the book and make up your own mind.

To Bernie Masters- Yes I was rushing. If I have time I'll do some better research. But I don't think I'll be reading the whole book.

From what you and Loudmouth have alluded their conclusion relates to female education as being a major causal influence over birth rate reduction in countries with female education and perhaps "female social exaltation and ascension".

Your contributions have said that India is one generation 30 years from population reduction- Africa is two generations 60 years from population reduction.

Sadly it appears that we may not have 30 years to reduce the population as the worlds population is currently increasing by 1 billion every 14 years.

The world is growing at 1.05 %/y Year 2020 Pop 7,794,798,739

Any compound interest calculator will tell you that the population will be 9 B in 14 years at this rate.

http://www.calculatorsoup.com/calculators/financial/compound-interest-calculator.php

http://www.worldometers.info/world-population/

http://www.worldometers.info/world-population/population-by-country/

It appears from this site that Africa is currently 1,357,960,901-
At 2.5 % Africa will be- 1,738,305,267 in 10 years.

Lets hope the growth rate continues on a downward trend and people that live in high density countries stay there