Title: Overview%20of%20355%20Themes%20and%20Concepts
1Overview of 355 Themes and Concepts
- Environmental Problems are generally characterize
by noisy and ambiguous data. - Understanding errors and data reliability/bias is
key to implementing good policy - Making a model of the data is an advanced
technique that is sorely needed in this field
2Goals of this Course
- To gain practice in how to frame a problem
- To practice making toy models of various data
waveforms - To understand the purpose of making a model
- To understand the limitations of modeling and
that models differ mostly in the precision of
predictions made - Provide you with a mini tool kit for analysis
3Sequence for Environmental Data Analysis
- Conceptualization of the problem ? which data is
most important to obtain how to obtain a
random/representative data set? - Methods and limitations of data collection ? know
your biases (e.g. Sunshine Moonbeam) - Presentation of Results gt data organization and
reduction data visualization statistical
analysis - Compare different models
4Statistical Distributions
- Why are they useful?
- How to construct a frequency distribution and/or
a histogram of events. - Frequencies are probabilities
- How the law of large numbers manifests itself ?
central limit theorem random walk expectation
values
5Statistical Distributions
Mapping dispersion units into probabilities of an
event occurring
6Some Tools
- Linear Regression ? predictive power lies in
scatter the r value is unimportant for
scientific analysis - Slope errors (cell C18 in Excel) are important
and must be factored in to determine the total
uncertainty of your prediction - Identify anomalous points by sigma clipping (/-
1.8 s (1-cycle)
7More Tools
- Chi square test measures goodness of fit
- Understand how to determine your expected
frequencies - Chi square minimization used to find best fitting
model - Chi square statistic used to accept or reject the
null hypothesis (that the data is consistent with
the model plus random fluctuations)
8More Tools
- Moving average technique applied to noisy data
- Z-test determine significance between two mean
values for two distributions
9KS Test
- Most powerful for comparing two distributions
- Statistic is the maximum difference between 2
cumulative frequency distributions - Data does not need to be normally distributed
- Best means to compare data distribution against a
model - Cant be used for sample sizes less than 10
10Arrival Statistics (Poisson)
- Events have to be discrete
- A good measure of the average event rate allows
the probability that N events will occur over
some time period to be determined - Large values of l produces a distribution that is
normal.
11Green House Effect
Long wavelength absorption properties of our
atmosphere increase the surface temperature-
Water vapor is the dominant effect, followed by
CO2
12Methane
- Potential role of methane is larger than CO2
- GWP 21
- Scales with population growth
- Released from permafrost
- Released from hydrate deposits
- Emissions now rising again due to global wetlands
returning from prolonged drought
13Difficulty of Climate Change Detection
- Data is noisy
- Temporal baseline of data is not long enough
- Multi decadal climate cycles seem to be very
important - Oceans act as a buffer that delays the overall
effect
14Predator Prey Relations
- Non linear in nature ? small changes in one part
of the system can produce rapid population
crashes - Density dependent time lags are important (what
causes them?) - Equilibrium is intrinsically unstable
- Logistic growth curve makes use of carrying
capacity concept, K - Negative feedback occurs as you approach K
- R selected vs. K selected mammals
15 P vs H
- Understand why graphical representations look
like this - What drives the lag time?
16Human Population Projections
- What assumptions are used?
- Does human population growth respond to the
carrying capacity concept? - World population growth rate is in continuous
decline (but still positive) ? will this continue
indefinitely? - Oscillatory model may be most realistic
- What role does increased life expectancy have? ?
17Estimation Techniques
- Extremely useful skill ? makes you valuable
- Devise an estimation plan ? what factors do you
need to estimate - Scale from familiar examples when possible
- Perform a reality check on your estimate
18Applied Ecology
- Know what the terms mean and understand what an
iterative solution is
19Applied Ecology II
- Understand from the point of view of the
framework (e.g. the equations) why stability is
very hard to achieve - What role does finite reproductive age play?
- What makes human growth special within this
framework. - Understand concepts of equilibrium occupancy and
demographic potential - Why is error assessment so important here?
20Skewed Distributions
This is a probability distribution function and
one can still use the area under the curve or
area between x values to determine probabilities
via numerical integration
21Time Series Analysis
- Much of environmental data analysis or modeling
represents the time evolution of some observed
quantity. - Long term trends with cyclical oscillations
and/or short term regular deviations plus random
variations
22Value of time Series Analysis
Gas Prices The long term trend is steep and
rises above the fluctuations Climate The long
term trend is overwhelmed by the fluctuations
- You want to uncover the long term trend that may
be buried under the fluctuations - Determining the amplitude of the fluctuations
helps to determine if any recent events are
aberrant - Two cases Gas prices Climate Cycles
23Multiple Sine Wave Fits
- Can often reproduce the behavior seen in complex
time series
24The Data Rules
- Always, always ALWAYS plot your data
- Never, never NEVER put data through some blackbox
reduction routine without examining the data
themselves - The average of some distribution is not very
meaningful unless you also know the dispersion.
Always calculate the dispersion and then know how
to use it!
The Average value for this data set is totally
meaningless
25More Data Rules
- Always compute the level of significance when
comparing two distributions - Always know your measuring errors. If you don't
them you are not doing science. - Always calculate the dispersion in any
correlative analysis. Remember that a correlation
is only as good as the dispersion of points
around the fitted line.
26The Biggest Rules
- Always require someone to back up their "belief
statements" with credible data. - Change the world. Stop being a passive absorber
of some one else's belief system. - Frame all environmental problems objectively and
seek reliable data to resolve conflicts and make
policy
27And Now For Something Completely Different
- Global climate change, species extinction, oil
depletion, world food crises, global inequity,
environmental justice, depletion of mineral
resources, blogs, sustainability, alternative
energy solutions, alternative fuels, more blogs,
Obama, Hillary, McCain, whatever - WTF? How did all of this happen?
28Your World Upon Graduation
29Engineering the Planet
- What Compels us to do so?
30Consumption Pros and Cons
- This depends on how you want to index consumption
personal consumption/affluence is different
than production/consumption that indirectly leads
to better society infrastructure and services. - What matters is the rate of consumption relative
to the resource base. Main problem is that
short term market growth, which we value, wants
high rates. - Sustainability demands lower rates ? this is the
clash of values.
31Key Historical Moments
- We are special (different than other animals)
- We are uniquely positioned at the center of the
Universe (reflects our special-ness) - The Universe is ordered, logical and rational
Age of Reason ?humankind is unbounded - The Newtonian world shows us the machine and it
is precise (we can now engineer the planet) - The notion of uncertainty, as a valid and
integral scientific concept, arises too late in
this process ? we already have truth pathways
established
32Essence of Science
- Knowledge based on measurement means that
knowledge is both uncertain and subject to change
when new and better measurements are made there
is no room for absolute truth in this methodology - Problems can then only be solved by objective
means that rely on real data and not bias or
wishful thinking.
33Choice Pathways
- Which world does humanity want to live in?
- One that is based on a belief system that is then
projected on to the natural world to support that
belief (this is the BIAS) - One where scientific methodology and thinking is
used to enable, on a planet wide scale, the
enlightenment motto that all men are created equal
34Relationship with the Land is key
- Three possibilities
- The Land is Sacred ? Indigienous Model your
ancestors are buried in it - The Land is shared ? European Model ? lots of
people, not much land - The Land is Owned ? American Model ? lots of
land, I can piss on it if I want, afterall, its
mine.
35Continued Economic Development Requires high
Energy Use
- 1900 ? 100 Million Capitalists to build markets
- 2003 ? 2.5 Billion new capitalists
- Energy is the core of the environmental
problem Environment is the core of the energy
problem - The energy-environment intersection is the core
of the sustainable-prosperity problem
36Resolution?
- We need to stop be driven by market economics and
start to recognize that energy and environment is
a shared resource. - 20 Million college students should march on
Washington demanding this