I'm putting together a list of ongoing modeling works (from different research areas) which try to understand and predict the behavior of an interesting phenomenon. Just a few examples to kick off the discussion:

- In environmental systems, global climate change modeling seems to be a perpetual challenge. Making climate change models accurate enough for quantitative prediction has been bedeviling such models.

- In obesity and nutrition, the current literature provides over 100 statistical equations to estimate basal metabolic rate (BMR) as a function of different attributes (e.g. age, weight, height, etc.), yet understanding how BMR is precisely modeled based on those attributes is an interesting area of research.

There seem to be tons of examples in biology, psychology, economics, engineering, etc, but what are the 'publicly interesting' challenges that you would like to add here?

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