A Fun Project to do in Class
Fisheries science can be interesting as well as educational. The
class project described below combines hands-on biology, data
collection, data interpretation and computer skills in a modular
package well suited to a class of high school students or to
individuals preparing an exhibit for a Science Fair. Though
intended to expose the student to a range of scientific activities,
this is not just a "make work" project: this type of activity
represents a genuine portion of the job of a fisheries biologist.
The project is focused on the analysis of a group of fish, and the
calculation of their rate of growth. Materials required include the
following:
- a sample of about 30 whole or gutted fish of various sizes; where
the costs of purchasing these fish are too great, the heads alone
can be used. Given appropriate lead time, fish processors and
seafood markets will often save heads for teachers at no cost
- measuring boards or rulers; at least one balance for weights
- surgical type gloves (optional)
- fish knives and forceps for otolith removal
- dissecting microscope(s) for age determination, as well as clay
and vegetable oil
- computer program capable of simple graphs or charts;
alternatively, graph paper can be used
Biological Sampling (1 hour): Working in pairs, the group weighs
and measures each fish or head (a minimum of 2 fish per pair).
Lengths should be recorded from the tip of the nose to the fork in
the tail (or the tip of the tail if there is no fork). If heads are being
used, the length is the tip of the nose to the back of the gill flap.
Each head is then cut open and the otoliths removed, as described in
How to remove an otolith.
Otoliths can be stored dry until the next
class, or if there is sufficient time, can be aged immediately.
Age Determination (1 hour): Work in pairs. Prepare and age
each pair of otoliths (described in
How to determine the age of a fish). Once
completed, each person should circulate to the other stations to
examine the other prepared otoliths. This is intended to
familiarize the students with a broader range of otoliths and
preparations. Upon return to their own otoliths, the pair should
then reexamine their own otoliths, and if warranted, revise their
ages. Once satisfied, an average age for each pair of otoliths
(each fish) should be calculated, since the 2 otoliths may or may
not result in the same ages. The average age for each fish should
then be put up on the board, along with the corresponding length
and weight. This will result in 3 columns of numbers - one each
for age, length and weight. The data for a given fish must be all
in the same row. All students should copy down the lengths,
weights, and ages for all of the fish put down on the board (eg-
there should be about 30 rows of numbers on the board). These
numbers make up the data for the following class.
Data Analysis (1 hour): The data for any one fish may or may not
be representative of other fish. It may not even be correct. But
when a sufficient number of fish are examined, the overall trend is
much more likely to be correct.
Working individually, the students should enter the data into a
computerized spreadsheet or charting program. The data should
be entered as they were recorded on the board; that is, one column
for length, a second for weight, and a third for age, with one row
per fish. Using either the spreadsheet program (or graph paper if
computers are not available), the following graphs should be
prepared:
 weight (y axis) versus length (x axis) |
 log weight (y axis) versus log length (x axis) |
 weight (y axis) versus age (x axis) |
 length (y axis) versus age (x axis) |
Regressions (linear or exponential) can be fit to each of the above
graphs as part of any spreadsheet. Alternatively, lines can be
drawn through the data by eye. Students can then be asked to
interpret the results.
The weight vs length graph
indicates that the weight of the fish increases much more rapidly
than does the length. Indeed, the second graph shows that the
relationship is exponential (just like that of bank interest). The
slope of the length vs age graph indicates the growth rate of the
sample of fish. The spreadsheet will display the value for the slope
when the regression is fitted. But if it doesn't, the slope can be
calculated as the "rise over run" of the fitted line, or (greatest length
on line minus smallest length on line) divided by the (greatest age
on line minus the youngest age on line). This growth rate is the
average expected growth of your fish each year. The fact that the
growth rate in weight is curved indicates that its growth is much
faster, and increases exponentially compared to that of length.
To calculate the expected length of the fish at, say, an age of 10
years, multiply the age (10) by the slope and add it to the intercept
value from the regression. This calculation can be assigned to the
students. They can also be asked how large the fish would be at an
age of 100 years? And why is it dangerous to predict beyond the
range of your data? If they answer that the relationship between fish
length and age could change at non-observed ages, they would be
right! |