Continuing Statistical Tests for Continental Zonation

William W. Hargrove and Forrest M. Hoffman



For this set of tests, we added three additional variables to the short list of six variables used in http://research.esd.ornl.gov/~hnw/neon/tests2. We added solar input in the non-growing season, the "mate" to one already in the list, and we also added the number of days with measurable precipitation in both seasons. The latter layers add information about the distribution of precipitation across each season. The list of nine abiotic variables used for all of these maps is shown in the table below:

Map Layer or Variable Name
Number of days above 90°F during the local growing season
Number of days below 32°F during the local non-growing season
Precipitation sum during the local growing season
Precipitation sum during the local non-growing season
Number of days with measurable precipitation during the local growing season
Number of days with measurable precipitation during the local non-growing season
Soil plant-available water holding capacity to 1.5 m
Total solar insolation during the local growing season, including clouds, aerosols, slope and aspect physiography
Total solar insolation during the local non-growing season, including clouds, aerosols, slope and aspect physiography

NEON2 - Nine selected abiotic variables - Potential Vegetation
10 Zones - Abiotic Conditions/Potential Vegetation
10 Zones
Small Map
Medium Map
Large Map
Huge Map
15 Zones - Abiotic Conditions/Potential Vegetation
15 Zones
Small Map
Medium Map
Large Map
Huge Map
20 Zones - Abiotic Conditions/Potential Vegetation
20 Zones
Small Map
Medium Map
Large Map
Huge Map
25 Zones - Abiotic Conditions/Potential Vegetation
25 Zones
Small Map
Medium Map
Large Map
Huge Map


Two additional maps were prepared at much higher levels of division, 100 and 200 zones. The purpose of these two extra maps, which used the same nine input layers, is to provide context for comparison, and to demonstrate the discrimination and resolving power of the Multivariate Geographic Clustering method when provided with this input data set.

100 Zones - Abiotic Conditions/Potential Vegetation
100 Zones
Small Map
Medium Map
Large Map
Huge Map
200 Zones - Abiotic Conditions/Potential Vegetation
200 Zones
Small Map
Medium Map
Large Map
Huge Map


Comments/Observations



Similarity Colors for NEON2

All of the zones in the above maps are shown in random colors. When colored randomly, the edges of distinct zones are easy to see. However, no information is available to show how different the mixture of included conditions is between two adjacent zones. We also have a statistical method to assign colors to each individual zone in each map such that the color shows something about the mixture of included conditions within each zone. Using this coloring method, the similarity of conditions can be compared across zones.

To help gauge the adequacy of particular levels of division, we assigned colors to zones based on the top three Principal Components. Taken together, these three PCs explained 87% of the variance in this data set.

The first Principal Component is strongly loaded with negative cold days in the non-growing season, precip in the growing season, wet days in the growing season, and solar insolation in the growing season, and negative solar insolation in the non-growing season. Hot days during the growing season also loads positively on this Factor, but loads even more strongly with an opposite sign on Factor 2. We have assigned Factor 1 to red, and we interpret it as "wetness in the growing season, and warmth/solar."

The second Principal Component is strongly loaded with negative hot days during the growing season, precipitation during the non-growing season, wet days during the non-growing season. Solar insolation during the growing season also loads negatively on this Factor, but loads even more strongly with an opposite sign on Factor 1. We have assigned Factor 2 to blue, and we interpret it as "wetness in the non-growing season, and cold."

The third Principal Component is strongly loaded with plant-available soil water, which is a measure of soil texture. We have assigned Factor 3 to green, and we interpret it as "plant-available soil water."

NEON2 Rotated Factor Loadings

Map Layer Factor 1
wet-gr/warm
Factor 2
wet-ng/cold
Factor 3
plant water
Number of days above 90°F during the local growing season 0.53758  -0.69898 checkmark -0.23932 
Number of days below 32°F during the local growing season -0.88414 checkmark 0.35289  0.12398 
Precipitation sum during the local growing season 0.89316 checkmark 0.10363  0.25731 
Precipitation sum during the local non-growing season 0.22201  0.89382 checkmark -0.02939 
Number of days with measurable precipitation during the local growing season 0.83674 checkmark 0.17894  0.30598 
Number of days with measurable precipitation during the local non-growing season -0.23115  0.92552 checkmark 0.02811 
Soil plant-available water holding capacity to 1.5 m 0.15134  0.03984  0.93051 checkmark
Total solar insolation during the local growing season, including clouds, aerosols, slope and aspect physiography 0.75631 checkmark -0.58331  -0.17511 
Total solar insolation during the local growing season, including clouds, aerosols, slope and aspect physiography -0.88427 checkmark 0.21560  -0.06425 

Interpretation of NEON2 Similarity Colors at the National Scale

All zonation maps are similar at the national scale when viewed in Similarity Colors, but more resolution and detail is present in the maps produced at higher levels of division. If additional maps were produced at even higher levels of division (i.e., 10,000 zones), such maps would be indistinguishable from the 200-zone map when colored using Similarity Colors. Thus, there is a convergence on this single map appearance at the national scale after a particular critical level of division is exceeded. No further subdivision is needed to resolve and reveal this same national pattern of gradients.

This overall similarity is despite the fact that the underlying polygons in each of the maps are completely different. The resemblance comes from the fact that the colors applied to each zone have been generated statistically.

NEON2 - Nine selected abiotic variables - Similarity Colors
10 Zones - Abiotic Conditions/Potential Vegetation
10 Zones
Small Map
Medium Map
Large Map
Huge Map
15 Zones - Abiotic Conditions/Potential Vegetation
15 Zones
Small Map
Medium Map
Large Map
Huge Map
20 Zones - Abiotic Conditions/Potential Vegetation
20 Zones
Small Map
Medium Map
Large Map
Huge Map
25 Zones - Abiotic Conditions/Potential Vegetation
25 Zones
Small Map
Medium Map
Large Map
Huge Map


100 Zones - Abiotic Conditions/Potential Vegetation
100 Zones
Small Map
Medium Map
Large Map
Huge Map
200 Zones - Abiotic Conditions/Potential Vegetation
200 Zones
Small Map
Medium Map
Large Map
Huge Map


For additional information contact:

William W. Hargrove
Oak Ridge National Laboratory
Environmental Sciences Division
Building 1507, Room 211
Mail Stop 6407
Oak Ridge, TN 37831-6407
(865) 241-2748
(865) 574-4665 fax
hnw@fire.esd.ornl.gov

William W. Hargrove (hnw@fire.esd.ornl.gov)
Last Modified: Mon Jul 11 11:15:54 EDT 2005