…the old
“Beyond Mapping III” book (30 Topics)
has been divided into
two books (10 Topics each with Further
Reading)
You are encouraged to access the revised Beyond Mapping Compilation Series posted at
http://www.innovativegis.com/basis/BeyondMappingSeries/
__________________________________________________________________
Chronological
Listing of Beyond Mapping Columns by Joseph K. Berry appearing in GeoWorld
(formally GIS World) magazine from 1989 through present <Click here>
rightclick to download a printerfriendly version of this listing (.pdf). The
compilation of Beyond Mapping columns is organized into three groups— Beyond Mapping III: A Compilation of Beyond Mapping Columns is
an online book organizing the columns from 1996 to 2013 into 30
Topics, Introduction and Epilog Beyond Mapping II: A Compilation of Beyond Mapping Columns is
an online book organizing the columns from 1993 to 1996 into 10
Topics, Introduction and Epilog Beyond Mapping I: A Compilation of Beyond Mapping Columns is an online book
organizing the columns from 1989 to 1993 into 10 Topics, Introduction
and Epilog …click
on hyper links below to access the postings; click on any of the figures
to popup a high resolution graphic.
Permission to use portions
of the collection for educational and noncommercial purposes is granted
provided reference is made to the author and this online compilation. Notes: Recent Beyond Mapping columns also can be
accessed via http://www.geoplace.com, select the “News”
item at the topleft, then “Articles/Columns & Archives” and from
the second “or search by” pick list choose “Beyond Mapping.” Most of the processing and figures discussed in these
online papers were derived using MapCalc^{TM} software. See www.innovativegis.com,
“Software” section to download a free MapCalc Learner version with
tutorial materials for classroom and selflearning map analysis concepts and
procedures. 
_____________________________________________________________________________________
Beyond
Mapping III: A Compilation of Beyond Mapping Columns …is an online book
organizing the Beyond Mapping columns first published in GeoWorld (formally GIS
World) from 1996 to 2013 into 28 Topics, Introduction and Epilog. 
Note: click on the
hyperlinks below to access the columns compiled into the Beyond Mapping III
online book.
…columns below
(highlighted in tan) were published since the Map Analysis
book/CD release (after January, 2007) 

12 
December 
2013 
Where
Do We Go from Here? — Swan Song after 25 years of
Beyond Mapping columns 
11 
November 
2013 
The
Good, the Bad and the Ugly Sides of GIS — discusses
the potential of geotechnology to hinder (or even thwart) societal progress 
10 
October 
2013 
Laying
the Foundation for SpatialSTEM: Spatial Mathematics, Map Algebra and
Map Analysis — discusses the conceptual foundation and intellectual
shifts needed for SpatialSTEM 
9 
September 
2013 
The
Spatial Key to Seeing the Big Picture — describes a five step
process for generating grid map layers from spatially tagged data 
8 
August 
2013 
Generating
Mountains and Molehills from Field Sampled Data — creating
an elevation surface from field sampled data 
7 
July 
2013 
In
Search of the Elusive Image — describes extended geoquery
techniques for accessing images containing a location of interest 
6 
June 
2013 
Setting
a Place at the Table for Gridbased Data — describes the differences
between individual file and table storage approaches 
5 
May 
2013 
Mixing
It up in GIS Modeling’s Kitchen — an overview of map analysis
and GIS modeling considerations 
4 
April 
2013 
Spatially
Evaluating the Ttest — illustrates the expansion of traditional
math/stat procedures to operate on map variables to spatially solve
traditional nonspatial equations 
3 
March 
2013 
Depending
on Where is What — develops an organizational structure for spatial
statistics 
2 
February 
2013 
Recasting
Map Analysis Operations for General Consumption — reorganizes ArcGIS’s
Spatial Analyst tools into the SpatialSTEM framework that extends traditional
math/stat procedures 
1 
January 
2013 
Optimal
Path Density is not all that Dense (Conceptually) — uses Optimal Path
Density Analysis to identify “corridors of common access” 
12 
December 
2012 
Bringing
Travel and Terrain Directions into Line — describes comparison procedures and route evaluation techniques 
11 
November 
2012 
Just
How Crooked Are Things? — discusses distancerelated metrics
for assessing crookedness 
10 
October 
2012 
To
Boldly Go Where No Map Has Gone Before — identifies Lat/Lon as a
Universal Spatial Key for joining database tables 
9 
September 
2012 
Organizing
Geographic Space for Effective Analysis — an overview of data
organization for gridbased map analysis 
8 
August 
2012 
Altering
Our Spatial Perspective through Dynamic Windows — discusses the three
types of roving windows— fixed, weighted and dynamic 
7 
July 
2012 
NarrowingIn
on Absurd Gerrymanders — discusses how a Narrowness Index (NI) can be
applied to assess redistricting configurations 
6 
June 
2012 
Questioning
GIS in Higher Education — describes thoughts and notes from a panel
discussion on “GIS in Higher Education” 
5 
May 
2012 
Infusing
Spatial Character into Statistics — describes a statistical structure
for spatial statistics operations 
4 
April 
2012 
Simultaneously
Trivializing and Complicating GIS — describes a mathematical structure
for spatial analysis operations 
3 
March 
2012 
Paint
by Numbers Outside the Traditional Statistics Box —
discusses the nature of Spatial Statistics operations 
2 
February 
2012 
Mapematically
Messing with Mapped Data — discusses the nature of
gridbased mapped data and Spatial Analysis operations 
1 
January 
2012 
SpatialSTEM
Has Deep Mathematical Roots — provides a conceptual
framework for a mapematical treatment of mapped
data 
12 
December 
2011 
VtoR and Back! — describes various techniques
for converting between vector and raster data types 
11 
November 
2011 
Contour
Lines versus Color Gradients for Displaying Spatial Information — discusses
the similarities and differences between discrete contour line and continuous
gradient procedures for visualizing map surfaces 
10 
October 
2011 
The
Universal Key for Unlocking GIS’s Full Potential — outlines a
global referencing system approach compatible with standard DBMS systems 
9 
September 
2011 
Assessing
Wildfire Response (Part 2): Jumping
Right into It — describes map analysis procedures for determining initial
response time for alternative attack modes 
8 
August 
2011 
Assessing
Wildfire Response (Part 1): Oneth by Land, Twoeth by
Air — discusses a spatial model for determining effective
helicopter landing zones 
7 
July 
2011 
Extending
Information into NoData Areas — describes a technique for
“fillingin” information from surrounding data into nodata locations 
6 
June 
2011 
Breaking
Away from Breakpoints — describes the use of curvefitting
to derive continuous equations for suitability model ratings 
5 
May 
2011 
Correlating
Maps and a Numerical Mindset — describes a Spatially
Localized Correlation procedure for mapping the mutual relationship between
two map variables 
4 
April 
2011 
Comparing
Apples and Oranges — describes a Standard Normal Variable
(SNV) procedure for normalizing maps for comparison 
3 
March 
2011 
A
Dynamic Tuneup for Distance Calculations — describes the
algorithms for dynamic effective distance procedures involving intervening
conditions 
2 
February 
2011 
Advancing
the Concept of Effective Distance — describes the
algorithms used in implementing Starter value advanced techniques 
1 
January 
2011 
Which
Direction Are You Headed? — describes four perspectives on the trailing “S” in the GIS
acronym 
12 
December 
2010 
GIS’s
Supporting Role in the Future of Natural Resources — discusses the influence of human dimensions in natural
resources and GIS technology’s role 
11 
November 
2010 
A
Suitable Framework for GIS Modeling — describes
a framework for suitability modeling based on a flowchart of model logic 
10 
October 
2010 
Putting
GIS Modeling Concepts in Their Place — develops
a typology of GIS modeling types and characteristics 
9 
September 
2010 
Comparing
Emergency Response Alternatives — describes
comparison procedures and route evaluation techniques 
8 
August 
2010 
Extending Emergency Response Beyond
the Lines — discusses basic model processing
and modifications for additional considerations 
7 
July 
2010 
E911
for the Backcountry — describes
development of an on and offroad traveltime surface for emergency response 
6 
June 
2010 
A
Twelvestep Program for Recovery
from Flaky Forest Formulations — describes
a spatial model for identifying Landings and Timbersheds 
5 
May 
2010 
Extending
Forest Harvesting’s Reach — discusses a multiplicative
weighting method for model extension 
4 
April 
2010 
Harvesting
an Understanding of GIS Modeling — describes a prototype
model for assessing offroad access to forest areas 
3 
March 
2010 
Fitting
Square Pegs into Round GIS Educational Holes — discusses the need
to engage nonGIS students in developing spatially distributed solutions 
2 
February 
2010 
GIS
Education’s Need for “Hitchhikers” — establishes the need for
engaging “domain experts” in moving geotechnology to the next level 
1 
January 
2010 
A
Quick Peek Outside GIS’s Disciplinary Cave — discusses
future directions of geotechnology with particular emphasis on career outlook
and GIS education 
12 
December 
2009 
From
a Map Pancake to a Soufflé — continues the discussion of concepts
and configuration of a 3D GIS 
11 
November 
2009 
Thinking
Outside the Box — discusses concepts and configuration of
3dimensional geography 
10 
October 
2009 
Visualizing
a Threedimensional Reality — uses visual connectivity to
introduce and reinforce the paradigm of threedimension geography 
9 
September 
2009 
GIS
and the Cloud Computing Conundrum
— describes cloud computing with particular attention to its
geotechnology expression 
8 
August 
2009 
Use
Spatial Sensitivity Analysis to Assess Model Response — develops an approach for assessing
the sensitivity of GIS models 
7 
July 
2009 
Melding
the Minds of the “ists” and “ologists”
— elaborates on the two
basic mindsets driving the geotechnology community 
6 
June

2009 
A
Narrowminded Approach — describes how Narrowness maps are
derived 
5 
May

2009 
Identifying
Upland Ridges — describes a procedure for locating
extended upland ridges 
4 
April

2009 
What’s
Missing in Mapping? — discusses the need for identifying
data dispersion as well as average in Thematic Mapping 
3 
March

2009 
What’s
in a Name — suggests and defines the new term
Geotechnology 
2 
February

2009 
Is
it Soup Yet? — describes the evolution in
definitions and terminology 
1 
January

2009 
Follow
These Steps to Map Potential Sales — describes an
extensive geobusiness application that combines retail competition analysis
and product sales prediction 
12 
December

2008 
Can
We Really Map the Future? — describes the use of “linear
regression” to develop prediction equations relating dependent and
independent map variables 
11 
November

2008 
Discover
the “Miracles” in Mapping Data Clusters — describes
the use of “clustering” to identify inherent groupings of similar data
patterns 
10 
October

2008 
Get
“Mapematical” to Identify Data Zones
— describes the use of “levelslicing” for classifying locations with a
specified data pattern (data zones) 
9 
September

2008 
Use
Map Analysis to Characterize Data Groups — describes the use of
“data distance” to derive similarity among the data patterns in a set of map
layers 
8 
August

2008 
Interpreting
Interpolation Results (and why it is important) — describes the use
of “residual analysis” for evaluating spatial interpolation performance 
7 
July

2008 
Myriad
Techniques Help to Interpolate Spatial Distributions — discusses
the basic concepts underlying spatial interpolation 
6 
June 
2008 
Linking
Numeric and Geographic Distributions — investigates the link between
numeric and geographic distributions of mapped data 
5 
May

2008 
Shedding
Light on Terrain Analysis — discusses how terrain
orientation is used to generate Hillshade maps 
4 
April

2008 
Twisting
the Perspective of Map Surfaces — describes the character of spatial distributions
through the generation of a customer density surface 
3 
March

2008 
Contiguity
Ties Things Together — describes an analytical approach for
determining effective contiguity (clumped features) 
2 
February 
2008 
How
to Determine Exactly “Where Is What” — discusses
the levels of precision and accuracy 
1 
January

2008 
Explore
the Softer Side of GIS — describes a Manual GIS
(circa 1950) and the relationship between social science conceptual
frameworks for understanding/judgment in GIS modeling 
12 
December

2007 
Lumpers
and Splitters Propel GIS — describes the two camps
of GIS (GeoExploration and GeoScience)

11 
November

2007 
Throwing
the Baby Out with the Bath Water — discusses the
information lost in aggregating field data and assigning typical values to
polygons (desktop mapping) 
10 
October

2007 
Get
a Consistent Statistical Picture — describes
creation of a Standardized Map Variable surface using Median and Quartile
Range 
9 
September

2007 
Normally
Things Aren’t Normal — discusses the appropriateness of
using traditional “normal” and percentile statistics 
8 
August

2007 
GIS
Innovation Drives Its Evolution — discusses the cyclic nature of
GIS innovation (Mapping, Structure and Analysis) 
7 
July

2007 
The
Long and Short of Slope — investigates
longitudinal and transverse slope calculation 
6 
June

2007 
Segmenting
Our World — discusses
techniques for segmenting linear routes based on terrain inflection 
5 
May

2007 
Getting
the Numbers Right — describes an alternative framework based
on how the map values are retrieved to classify analytical operations 
4 
April 
2007 
GeoReferencing
Is the Cornerstone of GIS — describes current and
alternative approaches for referencing geographic and abstract space 
3 
March 
2007 
Understand
Resolution to “Think with Maps” — discusses the factors
that determine the “informational scale” digital maps 
2 
February 
2007 
Finding
Common Ground in Paper and Digital Worlds — describes
the similarities and differences in information and organization between
traditional paper and digital maps 

…BM columns above were published
after the Map Analysis book/CD (January, 2007 to December 2013). 

Return to Top of the listing
Online Book 
Hardcopy Book 
Beyond
Mapping III: A Compilation of Beyond Mapping Columns …is an online book
organizing the Beyond Mapping columns first published in GIS World/GeoWorld from 1996 to 2013
into 28 Topics, Introduction and Epilog. 
Map
Analysis: Understanding
Spatial Patterns and Relationships …is a hardcopy book (GeoTec
Media, 2007) of selected columns from 1996 to 2007 organized into 10 Topics,
Introduction, Epilog, Index and a companion CDROM containing Additional
Readings, Color Graphics files, Instructor Materials and software for
handson exercises crossreferenced to the topics. 
Note: click on the
hyperlinks below to access the columns compiled into the Beyond Mapping III
online book.

…BM columns below were published in
the Map Analysis book/CD (September 1996 to January, 2007). 

1 
January

2007 
A
Multifaceted GIS Community — investigates the technical shifts
and cultural impacts of the rapidly expanding GIS tent of users, application
developers and tool programmers 
12 
December

2006 
Pathways
to GIS — explores different paths of GIS adoption for five
disciplines (Natural Resources, Facilities Management, Public Health,
Business and Precision Agriculture) 
11 
November

2006 
Contemporary
GIS and Future Directions — discusses contemporary GIS and
probable future directions (Multimedia Mapping and Spatial Reasoning/Dialog) 
10 
October

2006 
Early
GIS Technology and Its Expression — traces the early phases of
GIS technology (Computer Mapping, Spatial Database Management and Map Analysis/Modeling) 
9 
September

2006 
Statistically
Compare Continuous Map Surfaces — discusses procedures
for comparing continuous map surfaces 
8 
August

2006 
Spatial
Data Mining “Down on the Farm” — discusses process for moving from WholeField to SiteSpecific management 
7 
July

2006 
Statistically
Compare Discrete Maps — discusses procedures for comparing
discrete maps 
6 
June 
2006 
Under
the Hood of Spatial Interpolation — investigates
the basic concepts in IDW and Kriging interpolation procedures 
5 
May

2006 
The
Average Is Hardly Anywhere — discusses the
difference between spatial and nonspatial data distributions 
4 
April

2006 
Key
Concepts Characterize Unique Conditions — describes
a technique for handling unique combinations of map layers 
3 
March

2006 
Use
LCP Procedures to Center Optimal Paths — discusses a procedure
for eliminating “zigzags” in areas of minimal
siting preference 
2 
February

2006 
Nearby
Things Are More Alike — use of decay functions in
weightaveraging surrounding conditions 
1 
January

2006 
Spatially
Aggregated Reporting: The Probability is Good — discusses
techniques for smoothing “salt and pepper” results and deriving probability
surfaces from aggregated incident records 
12 
December

2005 
Filtering
for the Good Stuff — investigates a couple of spatial filters for
assessing neighborhood connectivity and variability 
11 
November

2005 
Milking
Spatial Context Information — describes a procedure for deriving a
customer density surface 
10 
October

2005 
Computer
Processing Aids Spatial Neighborhood Analysis — discusses approaches
for calculating slope and profile 
9 
September

2005 
Connect
All the Dots to Find Optimal Paths — describes a procedure
for determining an optimal path network from a dispersed set of end points 
8 
August

2005 
Taking
Distance to the Edge — discusses advance distance operations 
7 
July

2005 
Calculate
and Compare to Find Effective Proximity — describes how effective
proximity is calculated 
6 
June

2005 
Extend
Simple Proximity to Effective Movement — discusses
the concept of effective distance responding to relative and absolute
barriers 
5 
May

2005 
Use
Cells and Rings to Calculate Simple Proximity — describes how
simple proximity is calculated 
4 
April

2005 
Measuring
Distance Is Neither Here nor There — discusses the basic concepts
of distance and proximity 
3 
March

2005 
Making
Space for Mapped Data — investigates the link between geographic
space and data space for mapping data patterns 
2 
February

2005 
Use
Spatial Statistics to Map Abnormal Averages — discusses surface
modeling to characterize the spatial distribution inherent in a data set 
1 
January

2005 
Bending
Our Understanding of Distance — uses effective distance in
establishing erosion setback to demonstrate spatial analysis 
12 
December

2004 
Moving
Mapping to Analysis of Mapped Data — describes Spatial Analysis
and Spatial Statistics as extensions to traditional mapping and statistics 
11 
November

2004 
’Straightening’
Conversions Improve Optimal Paths — discusses a procedure
for spatially responsive straightening of optimal paths 
10.1 
October

2004 
Logic
and Extent Elevate Suitability Models to New Levels — extends
Rating discussion to include additional habitat considerations and model
weighting 
10 
October 
2004 
Extended
Experience Materials (unpublished support material) — provides
handson experience with Suitability Modeling 
9 
September

2004 
Use
“Shadow Maps” to Understand Overlay Errors — describes
how shadow maps of certainty can be used to estimate error and its
propagation 
8 
August

2004 
Mapping
Techniques Rate Hugag Habitat Suitability — expands
discussion to Binary Progression and Rating suitability models 
7 
July

2004 
Suitability
Models Find the Good, the Bad and the Hugag — describes a simple
suitability model for characterizing habitat 
6 
June

2004 
Computers
Quickly Characterize Spatial Coincidence — discusses
several human considerations in implementing 
5 
May

2004 
Overlay
Operations Feature a Variety of Options — discusses
the basic overlaying map operations 
4 
April

2004 
Options
Seem Endless When Reclassifying Maps — discusses the basic
reclassifying map operations 
3 
March

2004 
Use
a Mapematical Framework for GIS Modeling — describes
a conceptual structure for map analysis operations and GIS modeling 
2 
February

2004 
Migration
Modeling Determines Spill Effect — describes procedures
for assessing overland and channel flow impacts 
1 
January

2004 
Use
Available Tools to Calculate Flow Time and Quantity — discusses
procedures for tracking flow time and quantity 
12 
December

2003 
Constructing
Realistic Downhill Flows Proves Difficult — discusses
procedures for characterizing path, sheet, horizontal and fill flows 
11 
November

2003 
Traditional
Approaches Can’t Characterize Overland Flow — describes
the basic considerations in overland flow 
10.3 
October

2003 
Think
with Maps to Evaluate Alternative Routes — describes
procedures for comparing routes 
10.2 
October 
2003 
Least
Cost Path Review (unpublished support material) — brief review of the 
10.1 
October 
2003 
Extended
Experience Materials (unpublished
support material) — provides
handson experience with Optimal Path analysis 
9 
September

2003 
A
Recipe for Calibrating and Weighting GIS Model Criteria — identifies
procedures for calibrating and weighting map layers in GIS models 
8 
August

2003 
Consider
MultiCriteria When Routing — discusses
the construction of a discrete “cost/avoidance” map and optimal path
corridors 
7 
July

2003 
A
ThreeStep Process Identifies Preferred Routes — describes
the basic steps in Least Cost Path analysis 
6 
June

2003 
Use
Mapping “Art” to Visualize Values — describes procedures
for generating contour maps 
5 
May

2003 
Turning
GIS Education on Its Head — describes the
numerous GIS career pathways and the need to engage prospective students from
a variety of fields 
4 
April

2003 
Multiple
Methods Help Organize Raster Data — discusses different
approaches to storing raster data 
3 
March

2003 
Try
Vulnerability Maps to Visualize Aesthetics — describes
a procedure for deriving an aesthetics map based on visual exposure to pretty
and ugly places 
2 
February

2003 
Use
Maps to Assess Visual Vulnerability — discusses a procedure
for identifying visually vulnerable areas 
1 
January

2003 
Beware
of Slope’s Slippery Slope — describes various
slope calculations and compares results 
12 
December

2002 
Use
Surface Area for Realistic Calculations — describes
a technique for adjusting planimetric area to surface area considering
terrain slope 
11 
November

2002 
Identify
Valley Bottoms in Mountainous Terrain — illustrates
a technique for identifying flat areas connected to streams 
10 
October

2002 
Accumulation
Surfaces Connect Bus Riders and Stops — discusses an accumulation surface
analysis procedure for linking riders with bus stops 
9 
September

2002 
Normalizing
Maps for Data Analysis — describes map normalization and data
exchange with other software packages 
8 
August

2002 
Maps
Are Numbers First, Pictures Later — discusses the numeric
and geographic characteristics of map values 
7 
July

2002 
Grids
and Lattices Build Visualizations — describes Lattice and
Grid forms of map surface display 
6 
June

2002 
Use
Travel Time to Connect with Customers — describes techniques for optimal path
and catchment analysis 
5 
May

2002 
GridBased
Mapping Identifies Customer Pockets and Territories — identifies techniques
for identifying unusually high customer density and for delineating spatially
balanced customer territories 
4 
April

2002 
Maps
and Curves Can Spatially Characterize Customer Loyalty — describes a technique
for characterizing customer sensitivity to traveltime 
3 
March

2002 
Use Travel Time to Identify Competition
Zones — discusses the procedure for deriving relative traveltime
advantage maps 
2 
February

2002 
Stratify
Maps to Make Better Predictions — illustrates a procedure for
subdividing an area into smaller more homogenous groups prior to generating
prediction equations 
1 
January

2002 
Spatial
Data Mining Allows Users to Predict Maps — describes the basic concepts and
procedures for deriving equations that can be used to derive prediction maps 
12 
December

2001 
Use
Statistics to Map Data Clusters — discusses clustering for
partitioning an area into separate data groups 
11 
November

2001 
Use
Similarity to Identify Data Zones — describes levelslicing for
classifying areas into zones containing a specified data pattern 
10 
October 
2001 
Geographic
Software Removes Guesswork from Map Similarity — discusses
basic considerations and procedures for generating similarity maps 
9 
September

2001 
Use
Polar Variograms to Assess Distance and Direction Dependencies —
discuses a procedure to incorporate direction as well as distance for
assessing spatial dependency 
8 
August

2001 
Use
Exposure Maps and Fat Buttons to Assess Visual Impact — investigates
procedures for assessing visual exposure 
7 
July

2001 
Visual
Exposure is in the Eye of the Beholder — describes procedures
for assessing visual impact and creating simple models 
6 
June

2001 
Identify
and Use Visual Exposure to Create Viewshed Maps — discusses
basic considerations and procedures for establishing visual connectivity 
5 
May

2001 
Consider
Slope and Scenic Beauty in Deriving Hiking Maps — describes a general
procedure for weighting friction maps to reflect different objectives 
4 
April

2001 
Derive
and Use HikingTime Maps for OffRoad Travel — discusses procedures
for establishing hikingtime buffers responding to offroad travel 
3 
March

2001 
Integrate
TravelTime into Mapping Packages — describes procedures
for transferring traveltime data to other maps 
2 
February

2001 
Use
TravelTime Buffers to Map Effective Proximity — discusses
procedures for establishing traveltime buffers responding to street type 
1 
January

2001 
Create
Effective Distance Buffers to Improve Map Accuracy — develops
procedures for creating buffers that respond to the relative ease of
movement 
12 
December

2000 
LineofSight
Buffers Add Intelligent to Maps — describes
procedures for creating buffers that track relative visual exposure and noise
levels 
11 
November

2000 
Extending
GIS Procedures with VariableWidth Buffers — discusses
the basic considerations in establishing variablewidth buffers that respond
to both intervening conditions and the type of connectivity 
10 
October

2000 
Video
Mapping Brings Maps to Life — describes how video
maps are generated and discusses some applications of video mapping 
9 
September

2000 
Capture
"Where and When" on Videobased GIS — describes
how 
8 
August

2000 
How
to Represent Changes in a Virtual Forest — discusses
how simulations and "flybys" are used to visualize landscape
changes and characteristics 
7 
July

2000 
How
to Rapidly Construct a Virtual Scene — describes
the procedures in generating a virtual scene from landscape inventory
data 
6 
June

2000 
Behind
the Scenes of Virtual Reality — discusses the basic
considerations and concepts in 3Dobject rendering 
5 
May

2000 
Modeling Erosion and Sediment Loading
— illustrates a 
4 
April

2000 
Confluence
Maps Further Characterize Microterrain Features —
describes the use of optimal path density analysis for mapping surface flows 
3 
March

2000 
Characterizing Terrain Slope and Roughness
— discusses techniques for determining terrain inclination and
coarseness 
2 
February

2000 
Characterizing Local Terrain Conditions
— discusses the use of "roving windows" to distinguish
localized variations 
1 
January

2000 
Use
Data to Characterize MicroTerrain Features — describes
techniques to identify convex and concave features 
12 
December

1999 
Can
Predictable Maps Work for You? — describes a procedure
for deriving a spatial prediction model 
11 
November

1999 
Use
Scatterplots to Understand Map Correlation — discusses
the underlying concepts in assessing correlation among maps 
10 
October

1999 
Use
Statistics to Compare Map Surfaces
— describes several techniques for comparing map surfaces 
9 
September

1999 
Compare Maps by the Numbers
— describes several techniques for comparing discrete maps 
8 
August

1999 
Use
Metrics to Assess Forest Fragmentation — describes some
landscape indices for determining richness and fragmentation 
7 
July

1999 
Get to the Core of Landscape Analysis
— describes techniques for assessing core area and edge
characterization 
6 
June

1999 
Use
GIS to Analyze Landscape Structure — discusses the
underlying principles in landscape analysis and introduces some example
landscape indices 
5 
May

1999 
Use
GIS to Calculate Nearby Neighbor Statistics — describes
a technique that calculates the proximity to all of the surrounding parcels
of a similar vegetation type 
4 
April

1999 
GIS Represents Spatial Patterns and
Relationships — discusses the
important differences among discrete mapping , continuous map surfaces and
map analysis 
3 
March

1999 
Observe
the Evolving GIS Mindset — illustrates the
"mapematical" approach to analyzing
mapped data 
2 
February

1999 
Is
GIS Technology Ahead of Science? — discusses
several issues surrounding the differences in the treatment of nonspatial
and spatial data 
1 
January

1999 
Extending Spatial Dependency to Maps
— describes a technique for generating a map of spatial
autocorrelation 
12 
December

1998 
Measuring Spatial Dependency
— describes the basic measures of autocorrelation 
11 
November

1998 
Unlocking
the Keystone Concept of Spatial
Dependency — discusses spatial
dependency and illustrates the effects of different spatial arrangements of
the same set of data 
10 
October

1998 
GIS Data Are Rarely Normal
— describes the basic nonspatial descriptive statistics 
9 
September 
1998 
GIS Software's Changing Roles
— discusses the evolution of GIS software and identifies
important trends 
8 
August

1998 
Identify Data Patterns — discusses
data clustering and its application in identifying spatial patterns 
7 
July

1998 
Explore Data Space — establishes
the concept of "data space" and how mapped data conforms to this
fundamental view 
6 
June

1998 
Link Data and Geographic Distributions
— describes the direct link between numeric and geographic
distributions 
5 
May

1998 
Beware
the Slippery Surfaces of GIS Modeling — discusses
the relationships among maps, map surfaces and data distributions 
4 
April

1998 
Continued
Analysis of InStore Movement and Sales Patterns — describes
the use of temporal analysis and coincidence mapping to enhance shopping
patterns 
3 
March

1998 
Further
Analyzing InStore Movement and Sales Patterns — discusses
how map analysis is used to investigate the relationship between shopper
movement and sales 
2 
February

1998 
GIS
Analyzes InStore Movement and Sales Patterns — describes
a procedure using accumulation surface analysis to infer shopper movement
from cash register data 
1 
January

1998 
Analyzing
Stepped Accumulation Surfaces
— describes a technique for forcing an optimal path through a
series of points 
12 
December

1997 
Determining Optimal Path Corridors
— describes a technique for determining the set of n^{th}
best paths between two points 
11 
November

1997 
Analyzing Accumulation Surfaces
— describes how two surfaces can be analyzed to determine the
relative traveltime advantages 
10 
October

1997 
Building Accumulation Surfaces
— reviews how proximity analysis and effective distance is used
to construct accumulation surfaces 
9 
September

1997 
Diverse
Student Needs Must Drive GIS Education — identifies
new demands and students that are molding the future of GIS education 
8 
August

1997 
Varied
Applications Drive GIS Perspectives — discusses
how map analysis is enlarging the traditional view of mapping 
7 
July 
1997 
Uncovering the Mysteries of Spatial
Autocorrelation — describes approaches
used in assessing spatial autocorrelation 
6 
June

1997 
Where
Is GIS Education — describes the broadening appeal of 
5 
May 
1997 
Depending on the Data — discusses
the fundamental concepts of spatial dependency 
4 
April

1997 
Comparing Map Errors — describes
how normalized maps of error can be used to visualize the differences in
error surfaces 
3 
March 
1997 
Move Beyond a Map Full of Errors
— discusses a technique for generating a "shadow map"
of error 
2 
February 
1997 
Justifiable Interpolation
— describes the "Residual Analysis" procedure for
assessing interpolation performance 
1 
January

1997 
Designer Samples — describes
different sampling patterns and their relative advantages 
12 
December 
1996 
What's the Point? —
discusses the general considerations in point sampling design 
11 
November

1996 
Does Anyone Object? — discusses
some concerns of objectoriented GIS 
10 
October

1996 
Spatial
Objects—the Parse and Parcel of GIS? — discusses database
objects and their map expressions 
9 
September

1996 
What
Is ObjectOriented Technology Anyway? — establishes
the basic concepts in objectoriented technology 
_____________________________________________________________________________________
Return to Top of the
listing
Online Book 
Hardcopy
Book 
Beyond
Mapping II: A Compilation of
Beyond Mapping Columns …is an online book organizing the Beyond
Mapping columns first published in GIS World (now GeoWorld) from 1993 to 1995 into 10 Topics,
Introduction and Epilog 
Spatial Reasoning for Effective GIS …is a hardcopy book (John Wiley Publishers, 1993) of selected Beyond
Mapping columns organized into 10 Topics, Introduction, Epilog, Resource
Listing, Appendix on GIS Formulae and Index. The BM columns were first published in GIS World (now GeoWorld) from 1993 to
1995 
Note: click on the
hyperlinks below to access the columns compiled into the Beyond Mapping II
online book at www.innovativegis.com/basis
8 
August

1996 
Developing
an Understanding GIS — describes the translation of mapped
data to spatial information for decisionmaking 
7 
July

1996 
Don’t
Forget the Human Factor: an Experiential GIS — describes an early
experience (1980) in the application of 
6 
June 
1996 
Analyzing
Spatial Dependency between Maps — Analyzing Spatial Dependency
Between Maps — investigates multivariate analysis involving the
coincidence of two or more map layers 
5 
May 
1996 
Analyzing
Spatial Dependency within a Map — investigates univariate analysis involving spatial
relationships within a single map layer 
4 
April 
1996 
The Unique
Character of Spatial Analysis — discusses spatial analysis
as deriving new spatial information based on geographic dependence within and
among map variables 
3 
March 
1996 
Classifying
the Analytical Capabilities of GIS — discusses the
differences and similarities in the Berry and Tomlin map analysis
classification schemes 
2 
February 
1996 
Evaluating
Mapematical Relationships — discussed the differences and similarities between the
two basic types of GIS models (Cartographic and Spatial) using the Universal
Soil Loss Equation as an example 
1 
January 
1996 
Extending
Basic Models through Logic Modifications — describes logic extensions to a simple Landslide Susceptible
model by adding additional criteria that changes a model’s structure 
12 
December 
1995 
From
Recipes to Models — describes basic Binary and Rating model expressions
using a simple Landslide Susceptible model 
11 
November 
1995 
HeadsUp
and FeetDown Digitizing — discusses the design components
of a GIS/GPS/RS field unit 
10 
October 
1995 
GIS
and Remote Sensing Share a Lofty Marriage — identifies the
basic concepts, principles and theoretical underpinnings of Remote Sensing
(RS) technology 
9 
September 
1995 
Put
Things in Their Proper Places with GPS — identifies
the basic concepts, principles and theoretical underpinnings of the Global
Positioning System (GPS) 
8 
August 
1995 
Rasterized
Lines and Vectorized Cells —
describes specialized offshoots of
traditional raster and vector data formats 
7 
July 
1995 
How
are your QUADS and TINS? — describes alternative Quadtree
and Triangular Irregular Network data formats 
6 
June 
1995 
Raster
is Faster, but Vector is Correcter — describes the structuring of
traditional Vector data using explicit topology linking spatial and attribute
tables 
5 
May 
1995 
Are
You a GIS Dead Head? — describes the structuring of
traditional Raster data using implicit topology based on the row/column
positioning in a matrix 
4 
April 
1995 
Explore
a New Spatial Paradigm — discusses the movement from mapping and
spatial inventories by technologists to spatial reasoning and dialog
involving enlightened users in development of solutions to complex spatial
problems 
3 
March 
1995 
Is
the GIS Cart in Front of the Horse? — discusses driving
forces, trends and forecasts in contemporary GIS from the perspective of
modeling interrelationships among mapped variables 
February 
1995 
Layers
to Tapestry (supplement) — describes an interactive environment
for diagramming GIS Logic and processing flows 

2 
February 
1995 
Dodge
the GIS Modeling Babble Ground — identifies a Classification Guide
for categorizing GIS models 
1 
January 
1995 
What’s
in a Model? — discusses a conceptual framework for GIS model types and
characteristics 
12 
December 
1994 
Resolving
Map Detail — discusses
the four basic types Map Resolution (Spatial, Minimum Mapping, Thematic and
Temporal) that define the level of detail in a digital map as dramatically
different from the traditional concept of Map Scale 
11 
November 
1994 
What
Does Your Computer Really Think of Your Map? — discusses Spatial Topology
through the differences among Graphics Packages, Mapping Software, Spatial
Database Management Systems, and GIS Analysis/Modeling Approaches 
10 
October 
1994 
Empirical
Verification Assesses Mapping Performance — describes
procedures for assessing mapping performance through Error Matrix (discrete)
and Residual Analysis (continuous) 
9 
September 
1994 
Avoid
DisInformation — describes
the calculation of a localized Coefficient of Variance map 
8 
August 
1994 
Spawning
Uncertainty — identifies a procedure for tracking
error propagation in map overlay 
7 
July 
1994 
The
This, That, There Rule — describes creating a “Shadow Map of
Certainty” that characterizes the spatial distribution of probable error 
6 
June 
1994 
Build
It and They Will Come — describes the tactical and
conceptual considerations in GIS implementation 
5 
May 
1994 
What
Can GIS Do for You? — identifies and discusses the seven
basic types of questions addressed by GIS technology 
4 
April 