5 groups each had one bucket. The data collected is attached. Lincoln-Petersen I
ID: 203215 • Letter: 5
Question
5 groups each had one bucket. The data collected is attached. Lincoln-Petersen Index Cut Ey Copy . -A. E Merge & Center. $ ste Format Painter B 1 u Clipboard Font Alignment Lincoln-Peterson Index 30-Samples Total All Groups Group 1 Group 2 Group 3 Group 4 Group 5 Enter the following data: 20 17 201 0 Number Marked in First Visit191 142 147 904 Number of Marked Recaptures in Second Visit26 47 157 50 71 351 11 Total Number in Second Visit 115 162 249 145 229900 Population Size Estimated: 845489349426 658 Upper Population Limit: 1116 588 367 506 763 13 Standard Error: 136 49 40 52 18 Lower Population Limit: 391 331 347 553 574 30 Samples 15 Samples 5 Samples Type here to search
Explanation / Answer
The Lincoln-Peterson index is a tool used to estimate population size when the sample animals under consideration make two visits to the study area. Each sample animal may be present in either the first visit, or second, or both. Animals who are captured in the first visit are given a mark as an identification of the fact that they had been captured. On the second visit, the animals who are already marked (if any), are said to have been recaptured.
Let the number of animals captured in the first visit be = m
Let the number of animals captured in the second visit be = n
Let the number of animals being recaptured in the second visit be = k
Let the total population (which is to be estimated) . be = P
Using the Lincoln-Peterson method, the total population can be calculated by :-
P = nm / k .
Using this formula, the population in each of the buckets (study areas) can be calculated :
In case of the first study (with 30 samples) :
Group 1 / Bucket 1: (191 x 115) / 26 = 21965 / 26 = 844.8 = 845.
Group 2 / Bucket 2 : (142 x 162) / 47 = 23004 / 47 = 489.4 = 489.
Group 3 / Bucket 3 : (220 x 249) / 157 = 54780 / 157 = 348.9 = 349
Group 4 / Bucket 4 : (147 x 145) / 50 = 21315 / 50 = 426.3 = 426
Group 5 / Bucket 5 : (204 x 229) / 71 = 46716 / 71 = 657.9 = 658
In case of the second study (with 15 samples) :
Group 1 / Bucket 1: (40 x 66) / 6 = 2640 / 6 = 440
Group 2 / Bucket 2 : (133 x 66) / 17 = 8778 / 17 = 516.3 = 516
Group 3 / Bucket 3 : (116 x 99) / 26 = 11484 / 26 = 441.6 = 442
Group 4 / Bucket 4 : (81 x 72) / 9 = 5832 / 9 = 648
Group 5 / Bucket 5 : (35 x 102) / 6 = 3570 / 6 = 595
In case of the third study (with 5 samples) :
Group 1 / Bucket 1: (22 x 25) / 3 = 550 / 3 = 183.33 = 183
Group 2 / Bucket 2 : (17 x 27) / 0 = 459 / 0 = Undefined (Could not be estimated)
Group 3 / Bucket 3 : (28 x 11) / 2 = 308 / 2 =154
Group 4 / Bucket 4 : (26 x 34) /4 = 884 / 4 = 221
Group 5 / Bucket 5 : (27 x 17) / 1 = 459.
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