### Re: What type of math problems do Marine biologists encounter?/use example

Date: Wed Dec 23 11:53:11 1998
Posted By: Karen Culver-Rymsza, Biological Oceanographer
Area of science: General Biology
ID: 912636710.Gb
Message:
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Dear Emily,

I apologize for the delay. You need to understand that science is a
mathematical endeavor. Math is the language and the currency of science.
There are some areas of scientific investigation that are descriptive. For
example the role of the naturalist comes to mind, people who describe the
organisms they find, classify and categorize them. But as you will see,
even this role has matured into a mathematical one.

Marine biology and most other developed sciences have progressed from
descriptive to predictive. That is, rather than describing what we see
around us, most scientists seek to explain the processes at work and make
some kind of prediction. These predictions are often made in the language
of mathematics. Predictions help us test whether or not our explanations
are correct.

I will begin with some of the math I personally utilize.

Much of what is done is the lab on a daily basis involves chemistry,
preparation of standard solutions, media etc. at different concentrations.
This involves relatively simple arithmetic calculations. Students most
often get lost or confused in the long series of calculations sometimes
required. Probably the single most useful technique for this kind of
calculation is UNIT CANCELLATION, incredibly handy!

Algebra and trigonometry as well as calculus are used to analyze data.
These allow me to model the reactions I am studying. For example, one area
that I have investigated is the relationship between light level and
algal photosynthesis. There are several mathematical models or formulae
used describe the curve that is generated from the data. One includes a
hyperbolic tangent function, another uses exponents to the base e and there
are others that are more complex. So how do we decide which is best? That
is where statistics comes in. The models are tested statistically using
model fitting statistics. These calculate how well the line described by
the mathematical function we are using fits the data. These often require
that derivatives of the variables be examined (= calculus).

There are many other ways math is used in marine biology. For example,
investigators examining field data (as opposed to experimental data) may
use the principles of chaos theory to explain what looks like random
fluctuations. Satellite oceanographers use a variety of algorithms to
relate satellite color data to biomass. Even systematists and taxonomists,
scientists who categorize organisms in order understand evolutionary
relationships, utilize mathematics in the form of cladistics (a statistical
grouping method).

The list of math uses goes on and on, but it gets easier and easier to
do the math with every new computer advancement. The one thing a computer
can't do is understand why we choose the math functions it is told to
perform, though. So, even though calculation gets easier, scientists still
need to understand math.

Hope this helps.

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