It's a question.
There are population formulas out there
View attachment 186642
World population during various epochs of earth history use the above formula, it’s just one of many.
Pn = the population after n generations with one man and one woman
n = the number of generations – found by dividing the total time period by the number of years per generation.
X = thought of as the number of generations that are alive when
(Pn) is evaluated.
Therefore, if x is 2, the generations that are alive are generation’s n and n-1. This means that only a generation and its parents are alive. Seems reasonable to choose x=3 most of the time. Taking x=3 means that when
(Pn) is evaluated generations n, n-1 and n-3 are all alive.
C= half the number of children in the family.
If each family has only two children, the population growth rate is zero, but a reasonable and conservative number of children per family is 2.1 to 2.5 as far as historical records are concerned. (The derivation of the above equation has been added as Note A)
Allowing for famine, disease, war, and disaster, a few sample calculations will show that the earth's population could have easily reached several billions of people between the time of Adam and the time of the flood. It is even quite possible that the preflood population was much higher than it is now.
Genesis 4:21-22 gives suggestions of the development of music and advanced technology during this period. Family reunions must have been spectacular affairs with average life-spans well over 900 years! Human culture and even technological achievements before the flood may well have been superior and dazzling in comparison to what we see now, even though evil in that society eventually increased to the point of that civilization's self-destruction. When the Flood destroyed the Antediluvian world only eight persons were rescued on the Ark of Noah.
Henry Morris (Ref. 1) gives the following examples of possible population growth rates of the earth at various times in history:
"...Assume that C = 2 and x = 2, which is equivalent to saying that the average family has 4 children who later have families of their own, and that each set of parents lives to see all their grandchildren. For these conditions which are not at all unreasonable, the population at the end of 5 generation would be 96, after 10 generations, 3,070; after 15 generations, 98,300; after 20 generations, 3,150,000; and after 30 generations, 3,220,000,000. In one more generation (31) the total would increase to 6.5 billion.
"The next obvious question is: How long is a generation? Again, a reasonable assumption is that the average marriage occurs at age 25 and that the four children will have been born by age 35. Then the grandchildren will have been born the parents have lived their allotted span of 70 years. A generation is thus about 35 years. Many consider a generation to be only 30 years. This would mean that the entire present world population could have been produced in approximately 30 x 35, or 1,050 years.
"The fact that it has actually taken considerably longer than this to bring the world population to its present size indicates that the average family is less than 4 children, or that the average life-span is less than 2 generations, or both. For comparison, let us assume then that the average family has only 3 children, and that the life-span is 1 generation (i.e., that C = 1.5 and x = 1). Then...in 10 generations the population would be 106 after 20 generations, 6,680; after 30 generations, 386,000; and after 52 generations, 4,340,000,000...At 35 years per generation, this would be only 1,820 years. Evidently even 3 children per family is too many for human history as a whole."
Note A. Derivation of the Population Growth Equation
The formula is a standard one and easily derived.
If one starts with two people and you assume an average of 2c children per family, then the number of children in the first generation would be 2c. The total population after one generation would be 2 + 2c. In the second generation one gets 2c2 individuals, and in the third generation, 2c3 and so on. Assuming no deaths, at the end of n generations one has
S(n) = 2 + 2c + 2c2 + 2c3 +....+2cn individuals.
Multiply both sides of the equation by c and subtract from the previous equation. This gives,
S(n) = 2 [c(n+1) - 1] / (c-1).
However we have to allow for people dying all the time. Let the average life-span be represented by x generations.
In the nth generation then all those who were in the (n-x) generation will have died.
Thus,
S(n-x) = 2[c(n-x+1) - 1] / (c-1)
And, P(n), the total surviving population in the nth generation is,
P(n) = S(n) - S(n-x) = 2[c(n-x+1)][cx - 1] / (c-1).
The way to understand this formula in practice is to use a hand calculator and play around with some "typical" values of x and c. If c = 1 then of course the population growth is zero. We do not know much about ancient population growth rates, but there is reasonable data for the past 2000 years, and 2.1 children per family seems to be typical. Evolutionary time scales require that the average number of offspring over most of history would have been only of the order of 2.0026 children per family. If this is the case, why a jump from 2c = 2.0026 to 2c = 2.1 only in the last 2000 years or so? Helpful illustrative examples can also be quickly run on a spreadsheet program such as Microsoft Excel. It is then very easy to vary x and c over a whole range of limits.
It is impossible to prove conclusively that the world fully populates itself in only a few thousand years. The point is, this short time scale scenario is actually more reasonable than millions of years given what we do know about population growth rates in the last millennia or two.
References
1. Henry M. Morris,
The Biblical Basis for Modern Science, Appendix 6 (Baker Book House; Grand Rapids, 1984). This book gives many more examples of population growth rates, considerations of disease, war, famine. etc. Available from the
Institute of Creation Research (ICR). PO Box 2667, El Cajon, CA 92021.
Excerpt: Babel and the World Population: Biblical Demography and Linguistics.
Genesis 4:21-22 gives suggestions of the development of music and advanced technology during this period. Family reunions must have been spectacular affairs with average life-spans well over 900 years! Human culture and even technological achievements before the flood may well have been superior and dazzling in comparison to what we see now, even though evil in that society eventually increased to the point of that civilization's self-destruction. When the Flood destroyed the Antediluvian world only eight persons were rescued on the Ark of Noah.
Henry Morris (ref 1) gives the following examples of possible population growth rates of the earth at various times in history:
"...Assume that C = 2 and x = 2, which is equivalent to saying that the average family has 4 children who later have families of their own, and that each set of parents lives to see all their grandchildren. For these conditions which are not at all unreasonable, the population at the end of 5 generation would be 96, after 10 generations, 3,070; after 15 generations, 98,300; after 20 generations, 3,150,000; and after 30 generations, 3,220,000,000. In one more generation (31) the total would increase to 6.5 billion.
"The next obvious question is: How long is a generation? Again, a reasonable assumption is that the average marriage occurs at age 25 and that the four children will have been born by age 35. Then the grandchildren will have been born the parents have lived their allotted span of 70 years. A generation is thus about 35 years. Many consider a generation to be only 30 years. This would mean that the entire present world population could have been produced in approximately 30 x 35, or 1,050 years.
"The fact that it has actually taken considerably longer than this to bring the world population to its present size indicates that the average family is less than 4 children, or that the average life-span is less than 2 generations, or both. For comparison, let us assume then that the average family has only 3 children, and that the life-span is 1 generation (i.e., that C = 1.5 and x = 1). Then...in 10 generations the population would be 106 after 20 generations, 6,680; after 30 generations, 386,000; and after 52 generations, 4,340,000,000...At 35 years per generation, this would be only 1,820 years. Evidently even 3 children per family is too many for human history as a whole."