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Southern Africa, February 2012

Counting Zebra at Jack's Camp, Kalahari Desert



zebra herd running

©TK Boyd 2/12







zebra panorama

©TK Boyd 2/12

That's a lot of zebra.... here's a subsection of the above....


zebra panorama

©TK Boyd 2/12


But! How many zebra, some of you will ask. (Those of you who haven't wondered, and have not wondered how you would count them, or are asking why anyone would care, can stop reading here!)

Here's one approach....

Take samples of the overall picture. Count the zebra in the samples.

How you sample the picture will have a big effect on the accurarcy of your count.

It was 6560 units wide in PhotoPlus, the photo editor I use.

I took a 208 unit sample of the whole picture every 600 units along, i.e. the first sample was from 0-208, the second was from 600-808, etc.

Sorry about the fuzzy edges to the samples. And the strange number (208). Feel free to re-do the sampling work!

Here are the samples. See if you can get a number for the whole view if you want to. Or read on (below samples) for further discussion...

zebra census photo... one of many zebra census photo... one of many zebra census photo... one of many zebra census photo... one of many zebra census photo... one of many zebra census photo... one of many zebra census photo... one of many zebra census photo... one of many zebra census photo... one of many zebra census photo... one of many

Above: Section from "5300"


zebra census photo... one of many

Above: Section from "5500"


zebra census photo... one of many



Read no further....

... if you want to "do it yourself




Otherwise....



... read on....



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I "cheated" with one sample.... the one for "from 5300". There's a big bush in most of that image, so, having looked either side of the bush in the overall image and found roughly equal numbers of zebra either side of it, I assumed that there were a similar number behind the bush, and counted the sample starting at 5500. The "5300" and "5500" samples are available to you, above.

Count the zebra in the samples. Do the arithmetic. That will give you an approximation of the number of zebra in the scene.

I'll try to come back to this one day and finish the arithmetic and discussion for you!


Another spoiler alert... I am about to give you the counts I got.

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Sample / My count of zebra in sample
0000     3
0600    16
1200     8
1800    16
2400    16
3000    15
3600    13
4200    15
4800     7
(5300)- not counted
5500    15
6000     2

As I said... I'll try to come back, finish this one day!.... Especially if SOMEONE writes me, and says "That was fun". It has ben quite a bit of work to put it together for you!

Draft of "rest".....

Average zebra in sample: 11.45
Whole view/ sample: 6560/208= 31.54
Estimate for number of zebra: 31.54 x 11.45
..... about 360.

... and remember: this was just one of many groups in the area.



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This page © TK Boyd 2/11. Click here to contact him.

You are also invited to Tom Boyd's homepage, including software for schools, kids, and others.




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