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Question: I was wondering if the amount of sperm increase with the amount of abstinence?

Side questions:

  • Is their a max amount of sperm?
  • What happens with the excess amount?
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    $\begingroup$ Wet dreams happen, of course. $\endgroup$ – Daccache Oct 22 '14 at 14:12
  • $\begingroup$ Orgasm does not necessary involve ejaculation in those wet dreams. $\endgroup$ – inf3rno Oct 22 '14 at 17:56
  • $\begingroup$ I have read after 8 days of abstinence an significant increase is noticed in the amount of sperm and the amount of little soldiers. $\endgroup$ – Vinozio Oct 22 '14 at 20:01
  • $\begingroup$ Excess/old sperm is broken down (by phages?) and is re absorbed in the body $\endgroup$ – Alex Stone Oct 24 '14 at 1:39
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There is an increase by abstinence.

The within-subject variability of the semen sperm count (n), volume (v) and the total number of spermatozoa (N) was studied on 220 ejaculates from 36 normal subjects after an abstinence of 7 days or less.

The three semen characteristics for a given subject were highly correlated with the length of abstinence: for an increase in abstinence of 1 day there were mean increments of 13 × 106/ml for n, 0·4 ml for v, and 87 × 106 for N.

Semen analysis was performed on six men after various sexual abstinence periods (from 2 to 18 days). The variations in semen parameters were analyzed statistically as a function of the duration of abstinence.

Lengthy sexual abstinence was found to affect all semen characteristics. Semen volume and concentration and total sperm count showed significant increases, whereas motility and normal morphology decreased significantly with duration of abstinence. Significant changes in the percentage of normal sperm forms were observed after more than seven days' abstinence.

The study indicates that the influence of long sexual abstinence on semen quality varies with the variable considered. With regard to fertility, a long abstinence period might induce senescence of spermatozoa.

Sperms can die of "old age", as the previous quotes mentioned long abstinence period induces senescence. It is hard to find anything about their lifetime, it is at least 7 days I think.

For humans, entire process of spermatogenesis takes 74 days. Including the transport on ductal system, it takes 3 months. Testes produce 200 to 300 million spermatozoa daily.

So there is a constant rate of sperm production.

I think the following differential equation can describe the change of the sperm count:

$$ \dot{x} = μ - Dx $$

where

  • x is the sperm count
  • μ is the production rate regulated by testosteron (about 250 million per day)
  • D is the death rate which depends on the age of the population (depends on the lifetime, production rate, elapsed time)

So there will be a maximum amount by abstinence. By that amount

$$ μ = Dx $$

so

$$ x_{max} = μ /D $$

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