Category Archives: mathematics education

“[W]e want to model the process as we would simulate it.”

Professor Darren Wilkinson offers a pithy insight on how to go about constructing statistical models, notably hierarchical ones: “… we want to model the process as we would simulate it ….” This appears in his blog post One-way ANOVA with … Continue reading

Posted in approximate Bayesian computation, Bayes, Bayesian, biology, ecology, engineering, forecasting, mathematics, mathematics education, maths, model comparison, optimization, population biology, probabilistic programming, rationality, reasonableness, risk, science, science education, sociology, statistics, stochastic algorithms | Tagged | Leave a comment

climate internal variability is just residual variance from modeling with a smooth curve?

I happened across what I consider to be an amazing slide while “reading around” the work of Deser and colleagues. It is reproduced below, taken from Dagg and Wills: (Click image to see a larger picture, and use browser ‘back’ … Continue reading

Posted in cat1, citizen science, climate, climate education, forecasting, geophysics, mathematics, mathematics education, maths, meteorology, physics, rationality, reasonableness, science, statistics | 4 Comments

struggling with problems already partly solved by others

Climate modelers and models see as their frontier the problem of dealing with spontaneous dynamics in systems such as atmosphere or ocean which are not directly forced by boundary conditions such as radiative forcing due to increased greenhouse gas (“GHG”) … Continue reading

Posted in approximate Bayesian computation, Bayes, Bayesian, biology, climate, climate education, differential equations, ecology, engineering, environment, geophysics, IPCC, mathematics, mathematics education, meteorology, model comparison, NCAR, NOAA, oceanography, physics, population biology, probabilistic programming, rationality, reasonableness, risk, science, science education, statistics, stochastic algorithms, stochastic search | 1 Comment

Species abundances, raw abundances, and species composition

From Climate Change Ecology, An intuitive explanation for the 'double-zeroes' problem with Euclidean distances.

Posted in biology, climate, conservation, ecology, environment, mathematics, mathematics education, population biology, Schnabel census, science, science education, statistics | 3 Comments

Bayesian inference works even in a chaotic or deterministic world

Professor John Geweke, in a Comment on an article by Professor Mark Berliner a bit back (1992), shows how Bayesian inference continues to be a means for expressing subjective uncertainty even in a scheme where there are no stochastics but … Continue reading

Posted in Bayes, Bayesian, citizen science, economics, education, forecasting, mathematics, mathematics education, maths, rationality, reasonableness, statistics, stochastic algorithms | Leave a comment

Understanding mechanisms in climate over short periods and in local regions

This is interesting, because it shows how any particular observational history of Earth is one election of a large number of possible futures. This is exactly the same point made by Slava Kharin in his 2008 tutorial lecture “Statistical concepts … Continue reading

Posted in carbon dioxide, climate, climate education, differential equations, ecology, energy, environment, forecasting, geophysics, IPCC, mathematics, mathematics education, maths, meteorology, NCAR, NOAA, oceanography, physics, rationality, reasonableness, science, statistics, stochastic algorithms | 2 Comments

“Can we trust climate models?”

J. C. Hargreaves, J. D. Annan, “Can we trust climate models?”, WIREs Climate Change 2014, 5:435–440. doi: 10.1002/wcc.288. See also D. A. Stainforth, T. Aina, C. Christensen, M. Collins, N. Faull, D. J. Frame, J. A. Kettleborough, S. Knight, A. … Continue reading

Posted in Bayes, Bayesian, climate, climate education, differential equations, ecology, forecasting, geophysics, IPCC, mathematics education, meteorology, NCAR, NOAA, physics, rationality, reasonableness, risk, science, science education, statistics, stochastic algorithms | 1 Comment

probabilistic discussions of climate policy

Posted in Bayes, Bayesian, citizen science, citizenship, civilization, climate, climate education, ecology, economics, education, engineering, mathematics education, optimization, politics, rationality, reasonableness, risk, science education, statistics | Leave a comment

An equation-free introduction to Bayesian inference

By Tomoharu Eguchi from 2008: “An Introduction to Bayesian Statistics Without Using Equations“.

Posted in Bayes, Bayesian, BUGS, JAGS, mathematics, mathematics education, maths, probabilistic programming, rationality, reasonableness, science education, statistics | Leave a comment