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Spaghetti plot

Spaghetti plot is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Spaghetti plot rather than just read about it. In short: A spaghetti plot (also known as a spaghetti chart, spaghetti diagram, or spaghetti model) is a method of viewing data to visualize possible flows through systems. Flows depicted in this manner appear like noodles, hence the coining of this term.

Spaghetti plot — main illustration
Spaghetti plot — illustration

Key takeaways

  • Spaghetti plot belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Spaghetti plot to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Spaghetti plot from memory before moving on to harder problems.

Reference excerpt

A spaghetti plot (also known as a spaghetti chart, spaghetti diagram, or spaghetti model) is a method of viewing data to visualize possible flows through systems. Flows depicted in this manner appear like noodles, hence the coining of this term. This method of statistics was first used to track routing through factories. Visualizing flow in this manner can reduce inefficiency within the flow of a system. In regards to animal populations and weather buoys drifting through the ocean, they are drawn to study distribution and migration patterns. Within meteorology, these diagrams can help determine confidence in a specific weather forecast, as well as positions and intensities of high and low pressure systems. They are composed of deterministic forecasts from atmospheric models or their various ensemble members. Within medicine, they can illustrate the effects of drugs on patients during drug trials.

Applications

Biology Spaghetti diagrams have been used to study why butterflies are found where they are, and to see how topographic features (such as mountain ranges) limit their migration and range. Within mammal distributions across central North America, these plots have correlated their edges to regions which were glaciated within the previous ice age, as well as certain types of vegetation.

Meteorology

Within meteorology, spaghetti diagrams are normally drawn from ensemble forecasts. A meteorological variable e.g. pressure, temperature, or precipitation amount is drawn on a chart for a number of slightly different model runs from an ensemble. The model can then be stepped forward in time and the results compared and be used to gauge the amount of uncertainty in the forecast. If there is good agreement and the contours follow a recognizable pattern through the sequence, then the confidence in the forecast can be high. Conversely, if the pattern is chaotic, i.e., resembling a plate of spaghetti, then confidence will be low. Ensemble members will generally diverge over time and spaghetti plots are a quick way to see when this happens. Spaghetti plots can be a more favorable choice compared to the mean-spread ensemble in determining the intensity of a coming cyclone, anticyclone, or upper-level ridge or trough. Because ensemble forecasts naturally diverge as the days progress, the projected locations of meteorological features will spread further apart. A mean-spread diagram will take a mean of the calculated pressure from each spot on the map as calculated by each permutation in the ensemble, thus effectively smoothing out the projected low and making it appear broader in size but weaker in intensity than the ensemble's permutations had actually indicated. It can also depict two features instead of one if the ensemble clustering is around two different solutions. Various forecast models within tropical cyclone track forecasting can be plotted on a spaghetti diagram to show confidence in five-day track forecasts. When track models diverge late in the forecast period, the plot takes on the shape of a squashed spider, and can be referred to as such in National Hurricane Center discussions. Within the field of climatology and paleotempestology, spaghetti plots have been used to correlate ground temperature information derived from boreholes across central and eastern Canada. As in other disciplines, spaghetti diagrams can be used to show the motion of objects, such as drifting weather buoys over time.

Business

Spaghetti diagrams were first used to track routing through a factory. Spaghetti plots are a simple tool to visualize movement and transportation. Analyzing flows through systems can determine where time and energy are wasted, and identify where streamlining would be beneficial. This is true not only with physical travel through a physical place, but also during more abstract processes such as the application of a mortgage loan.

Medicine Spaghetti plots can be used to track the results of drug trials amongst a number of patients on one individual graph to determine their benefit. They have also been used to correlate progesterone levels to early pregnancy loss. The half-life of drugs within people's blood plasma, as well as discriminating effects between different populations, can be diagnosed quickly via these diagrams.

References

External links

TIGGE Project at NCAR

Illustrations

Spaghetti plot: Spaghetti chart which shows nurse movement through a facility in the search for a glucometer
Spaghetti chart which shows nurse movement through a facility in the search for a glucometer

Worked examples

Example 1 — a first encounter with Spaghetti plot

Start with the simplest possible case. Write down what Spaghetti plot claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Spaghetti plot before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Spaghetti plot ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Spaghetti plot

In research
Spaghetti plot appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Spaghetti plot in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Spaghetti plot is common in secondary-school and first-year university syllabi. It links to neighbouring topics Climate and weather statistics, Graphic software in meteorology, Metaphors referring to spaghetti, so understanding it makes those chapters shorter.
In everyday life
Look for Spaghetti plot outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Spaghetti plot in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Spaghetti plot means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Spaghetti plot out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Spaghetti plot in simple terms?

A spaghetti plot (also known as a spaghetti chart, spaghetti diagram, or spaghetti model) is a method of viewing data to visualize possible flows through systems. Flows depicted in this manner appear like noodles, hence the coining of this term.

Why does Spaghetti plot matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Spaghetti plot?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Spaghetti plot.

Tags

  • Climate and weather statistics
  • Graphic software in meteorology
  • Metaphors referring to spaghetti
  • Statistical charts and diagrams

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