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Here is the chart for the "Dragon Years" to "Human Years" (and "Scavenger Years") conversions. I included my work in the other tabs.

Dragon Years Human Years Scavenger Years
0 0 0
1 5 5
2 6.5 6.5
3 8 8
4 9.5 9.5
5 11 11
6 12.5 12.5
7 14 14
8 15.3 15.3
9 16.7 16.7
10 18 18
Dragon Years Human Years Scavenger Years
10 18 18
20 22.3 18.6
30 26.7 19.1
40 31.0 19.7
50 35.4 20.3
60 39.7 20.9
70 44.1 21.4
80 48.4 22
90 52.8 22.6
100 57.1 23.1
110 61.5 23.7
120 65.8 24.3
130 70.2 24.9
140 74.5 25.4
150 78.88 26

On this second chart I go by 10s. This is also the part where "Human Years" and "Scavenger Years" diverge. You can calculate "Human Years" and "Scavenger Years" with these formulas if your dragon is OVER THE AGE OF TEN.

Human Years = (60.88 / 140) * (Dragon Years - 10) + 18

Scavenger Years = (2 / 35) * (Dragon Years - 10) + 18

I was trying to find a realistic ratio for the "Human Years" to "Dragon Years" conversion, and chat suggested that majority of users have just been using a 1:2 ratio. I would like to find a more accurate comparison.

There are a couple ways to make generic estimate ratios, and they are to compare the life expectancy between the species or to compare the maximum lifespans.

PART 1[]

1:2 Ratio[]

Life Expectancy Maximum Lifespan
Humans 78.88 years (US 2015) 122.45 years (Jean Calment)
Dragons 157.76 years 244.90 years

The trick with coming up with a good ratio, is that dragons have no maximum lifespan. They have what is known as Negligible Senescence.

"Senescence is a term used to indicate gradual deterioration of the body with age. In simpler words, you could call it ‘aging’. Specifically, weakening of muscles, lowering mobility, poor sensory acuity and age-related diseases are signs of an animal showing senescence."[Source]

Animals exhibiting Negligible Senescence, such as Crocodiles, only die due to diseases, accidents, or predators. In the Pyrrhian universe, war.

Coming up with a better ratio[]

To come up with a better ratio, you might then expect to discard the Maximum Lifespan and use just the Life Expectancy, but this isn't quite accurate either...

The famous "dog years" to "human years" ratio, 7:1, was derived by using life expectancies (that ratio is closer to 6.07 since then), but that isn't an accurate formula. A dog develops significantly faster in its first 2 years. by the time it turns 2, it is the equivalent of a 21 year-old human. After that point, a dog only ages at about 4 human years a dog year. A more realistic formula is 10.5 years for the first 2 and 4 every year after. (I've checked the math. The ratio is closer to 10.5 years for the first 2 and 5.2 afterwards since then)

What does this mean for us?

To make a realistic formula, we will need the Average Life Expectancy of a dragon as well as its development and various points.

Matau's Data[]

According to Matau, we can use the following bits of information to give us a good comparison;

Dragons Humans
Age at which they can speak. 1 5
Age at which they can physically reproduce. 7 14
Age at which they are considered adults. 10 18
Some support for these points
Book 2 p106: "[Orca] challenged Mother for the throne when she was only seven years old."
Book 2 p183: "[Orca] challenged the queen almost the moment she was full grown."

What this means[]

This data means that, for the first 10 years of a dragon's life, we can determine an accurate table;

Dragon Years Human Years
0 0
1 5
2 6.5
3 8
4 9.5
5 11
6 12.5
7 14
8 15.3
9 16.7
10 18

Taking This Further[]

Since we cannot take into consideration the Maximum lifespan for a dragon, we will need to find the average life expectancy for a dragon and compare that to the average life expectancy of a human if we want to make a system that works.

Another HUGE factor to take in is whether or not we're looking at "Human Years" to "Dragon Years" or "Scavenger Years" to "Dragon Years".
Scavengers live in the human equivalent of the Bronze Age, as demonstrated by a bell in a scavenger city. In the Bronze Age, humans had a life-expectancy of 26 years, not considering that they have dragons as a natural predator in Pyrrhia.
Humans, however, have that life expectancy of 78.88 years. Depending on our scale, the year conversion can be drastically different..

POLL[]

The question is, when we show a Human Years to Dragon Years comparison, should we compare dragons to Modern Humans, or to Scavengers? The result is the same for the first 10 years, but vastly different thereafter.

I talked to Nikki McCloud, and I think we have the final piece. There is a moment in the books in which Burn expects to be around for another hundred years. I don't know the quote, or where it comes in, so I cannot verify it at this point, but at the time, we know that Burn is at least 20, and likely an adult when the war started. She would be at least 30, but Nikki and I agree that she's probably around 50. If she's 50 and expects to rule for 100 years, then we can estimate the life expectancy of a Pyrrhian dragon to be around 150 years.

(If somebody finds this quote or recalls where it's at, please let me know, so I can strengthen the point)

The poll has been very close, so I think I'll do calculations for both. Scavengers have a life expectancy of 26 years and Americans have a life expectancy of 78.88 years. If dragons have an expectancy of 150 years, then we can start to make a comparison.

Using these numbers, we can make a mathematic formula for calculating the years;
Human Years = [(human life - human maturity)/(dragon life - dragon maturity)]*(dragon years - dragon maturity) + human maturity

I based this formula on one that I found for how to calculate the dog-years formula. It looks daunting, but it's simpler than that. It uses the maturity because that's the last point on my chart on part 1 where we can see a comparison. After that point in a dragon's life, they should mature at a more steady rate, calculated by [(human life - human maturity)/(dragon life - dragon maturity)]. The rest of the formula is working it through so that the formula results in the correct answers if you put in 10 years (18 human) or 150 years (78.88 human).

The formula is
Human Years = [(78.88-18)/(150-10)]*(dragon years - 10) + 18
Human Years = [(60.88)/(140)]*(Dragon Years - 10) + 18

Since scavengers have a life-expectancy of 26, and they have the same maturity point, their formula is
Scavenger Years = [(26-18)/(150-10)]*(dragon years - 10) + 18
Scavenger Years = (2/35)*(Dragon Years - 10) +18

(NOTE: these formulas are only applicable after 10 years)