Introduction

While Team St Andrews' "Omega Squad" works to produce EPA Omega 3 Fatty Acids in the Laboratory; our "Mod Squad" motivates their endeavours, quantitatively. In particular, we seek to model the time evolution of human-available EPA and DHA Omega 3 Fatty Acids from the year 1950 and into the future. We will also investigate recent trends indicating increasing demand for these resources: due to population growth, as well as heightened awareness of the health benefits associated with a diet containing these Fatty Acids.

Our Model

Introduction

Our Model relies on a number of assumptions:

Assumption 1: Humans obtain their necessary EPA and DHA Omega 3 Fatty Acids from fish, and fish alone. (Insert justification for this assump- tion)

Assumption 2: In addition to Assumption 1, only mature fish (insert clear definition of “mature”) can be considered a source of EPA and DHA. (Justification: current catch is composed mostly of mature fish (data to sup- port statement). This assumption also greatly simplifies our model: refer to Equation (4) later in this document)

Let ω(t) represent the DHA and EPA Omega 3 available for human con- sumption at time t years (in tonnes). Further, let B(t) represent total ma- ture fish biomass in the world at time t years (again, in tonnes) and ωB(t) represent the average Omega 3 (DHA + EPA) content per tonne of mature fish biomass at t.

Then:

\omega(t)=B(t) \cdot \omega_B(t) (1)

Introduction

While Team St Andrews' \Omega Squad" works to produce EPA Omega 3 Fatty Acids in the Laboratory; our \Mod Squad" motivates their endeav- ours, quantitatively. In particular, we seek to model the time evolution of human-available EPA and DHA Omega 3 Fatty Acids from the year 1950 and into the future. We will also investigate recent trends indicating in- creasing demand for these resources: due to population growth, as well as heightened awareness of the health bene�ts associated with a diet containing these Fatty Acids.

Data collection

When $a \ne 0$, there are two solutions to \(ax^2 + bx + c = 0\) and they are $$x = {-b \pm \sqrt{b^2-4ac} \over 2a}.$$