this post was submitted on 20 Jul 2023
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[–] DieterParker@feddit.de 2 points 1 year ago* (last edited 1 year ago)

The graphics 58,6 tonnes of CO2 equivalent per Year and Child are 266,25% higher than the average americans 16 tonnes and 1365% higher than the global average of 4 tonnes.
~~What are the assumptions on that hypothetical child's lifestyle? Will it roll coal and eat beef jerky 24/7?~~
The Guardian article says that

figure was calculated by totting up the emissions of the child and all their descendants, then dividing this total by the parent’s lifespan. Each parent was ascribed 50% of the child’s emissions, 25% of their grandchildren’s emissions and so on.

Considering the global total fertility rate dropping from now 2.42 childs per woman to 1.66 in 2100, a global sex ratio of 101:100, average age at first child of 28 and a global life expectancy of currently 74.3 years (82.1 in 2100) my crude calculation would look like this:

  0.5    * 4t * (74.3 +  28 * ((82.1 - 74.3) / (2100 - 2023))) / 74.3
+ 0.25   * 4t * (74.3 +  56 * (     7.8      /      77      )) / 74.3 * (2.42 -  28 * ((2.42 - 1.66) / (2100 - 2023))) / (201 / 100)
+ 0.125  * 4t * (74.3 +  84 * (     7.8      /      77      )) / 74.3 * (2.42 -  56 * (    0.76      /      77      )) /   2.01
+ 0.0625 * 4t * (74.3 + 112 *           0.1012               ) / 74.3 * (2.42 -  84 *            0.0098              ) /   2.01
+ 0.0313 * 4t * (74.3 + 140 *           0.1012               ) / 74.3 * (2.42 - 112 *            0.0098              ) /   2.01
+ 0.0156 * 4t * (74.3 + 168 * 0.1012 ) / 74.3                         * (2.42 - 140 * 0.0098 ) / 2.01
+ 0.0078 * 4t * (74.3 + 196 * 0.1012 ) / 74.3                         * (2.42 - 168 * 0.0098 ) / 2.01
+ 0.0039 * 4t * (74.3 + 224 * 0.1012 ) / 74.3                         * (2.42 - 196 * 0.0098 ) / 2.01
====================================================================================================================================
= 2.076t + 1.148t + 0.518t + 0.228t + 0.1229t + 0.0634t + 0.0327t + 0.0168t + 0.0087t + 0.0045t = 4.2191t   @ 10 generations
                                                                                                = 4,2238t   @ 25 generations
                                                                                                = 4.2238t   @ 50 generations

Even if i quadrupled those 4.23t to match the US citizens average CO2 footprint, 16,89t doesn't even come close to the claimed 58,6.

where's my mistake?

pS: for the calculations I fixated the birth rate at 1,66 starting in generation 5 as well as the age with an estimated maximum of 123 years starting in generation 18.