This may or may not interest anyone. I'm taking a basic ecology course as a easy option at the UofC. We're doing population ecology and hunting came up in discussion. Not much was said in class but here is an email exchange I had with him afterwards. It may not make sense without context so here is a picture of the equation in question.
r= per capita rate of population growth under ideal conditions
n= number of indivduals
k= carrying capacity of land
t= time interval
tau= is a time lag to compensate for how current population growth depends on past poulation size (because it takes time for an animal to reach maturity)
My email:
Dr. Cartar,
I have a question, or rather clarification, of one of the topics in today's class. Regarding human harvest of animals (hunting) it was concluded that removing animals contributes cumulatively to animals that would have died anyways of natural causes. I don't quite get this, using the logistic equation for population growth with a time lag it looks to me that depending when this harvest was to take place that it would simply dampen the curve closer towards the carrying capacity. That is a harvest was to take place at any time where N(T-Tau)<K there would be no negative impact on the population. It also seems to me that for population curves where Tau is long enough to send the population far over K (and subsequently crash e.g. Pribilof islands) that a human induced harvest during the right times would dampen the curve and avoid the crash.
I'm not trying to get into the ethics of humans tinkering with an ecosystem. It just seems to me that a human harvest can have a negligible, or even a beneficial, effect on a population so long as certain conditions are met (e.g. when N(T-Tau)<K or when populations are stable and Tau is short enough that a drop in population at one point in time will not cause a crash later).
Thanks,
******** ******
His reply:
Hi ******
If it was you who raised this issue in lecture today, then thanks! I didn't want to leave the impression with the class that mortality was typically compensatory. In fact, tons of studies find otherwise (additive). You even suggested that populations might respond favourably to hunting (overcompensation). I attach a recent paper on the topic that tests the ideas in willow ptarmigan (a bird), but the real interesting bits for you are in the intro, where the hypotheses are introduced and set in context with the literature (attached). This study found a combination of additive and compensatory, depending on hunting levels (compensatory when small quotas, additive when large).
You're right that if a population is growing logistically with a big tau, then arresting the population before they hit K (& crash) might be worthwhile. But since most populations don't appear to be so lagged (the tau of lag?), I think this is a relatively contrived circumstance.
Have a look at this paper, and if you're interested, do a literature search for support for the overcompensation hypothesis (where hunting "helps" a population persist). The pickings are likely slim.
Thanks for your email!
Cheers, Ralph
I can email someone the study he sent me if you want it.
What are you opinions?
r= per capita rate of population growth under ideal conditions
n= number of indivduals
k= carrying capacity of land
t= time interval
tau= is a time lag to compensate for how current population growth depends on past poulation size (because it takes time for an animal to reach maturity)
My email:
Dr. Cartar,
I have a question, or rather clarification, of one of the topics in today's class. Regarding human harvest of animals (hunting) it was concluded that removing animals contributes cumulatively to animals that would have died anyways of natural causes. I don't quite get this, using the logistic equation for population growth with a time lag it looks to me that depending when this harvest was to take place that it would simply dampen the curve closer towards the carrying capacity. That is a harvest was to take place at any time where N(T-Tau)<K there would be no negative impact on the population. It also seems to me that for population curves where Tau is long enough to send the population far over K (and subsequently crash e.g. Pribilof islands) that a human induced harvest during the right times would dampen the curve and avoid the crash.
I'm not trying to get into the ethics of humans tinkering with an ecosystem. It just seems to me that a human harvest can have a negligible, or even a beneficial, effect on a population so long as certain conditions are met (e.g. when N(T-Tau)<K or when populations are stable and Tau is short enough that a drop in population at one point in time will not cause a crash later).
Thanks,
******** ******
His reply:
Hi ******
If it was you who raised this issue in lecture today, then thanks! I didn't want to leave the impression with the class that mortality was typically compensatory. In fact, tons of studies find otherwise (additive). You even suggested that populations might respond favourably to hunting (overcompensation). I attach a recent paper on the topic that tests the ideas in willow ptarmigan (a bird), but the real interesting bits for you are in the intro, where the hypotheses are introduced and set in context with the literature (attached). This study found a combination of additive and compensatory, depending on hunting levels (compensatory when small quotas, additive when large).
You're right that if a population is growing logistically with a big tau, then arresting the population before they hit K (& crash) might be worthwhile. But since most populations don't appear to be so lagged (the tau of lag?), I think this is a relatively contrived circumstance.
Have a look at this paper, and if you're interested, do a literature search for support for the overcompensation hypothesis (where hunting "helps" a population persist). The pickings are likely slim.
Thanks for your email!
Cheers, Ralph
I can email someone the study he sent me if you want it.
What are you opinions?


















































