Accident Identifications on horizontal curves

The geographically referenced Iowa roadway base record data and crash records [i.e., the Geographic Information System Accident Analysis and Location System (GISALAS)] is the primary source of information for this project. It contains the location and characteristics of all Iowa crashes during the past ten years. Although, it lacks the information on whether or not a roadway string is a curve in its entirety or contains one or more curves, it contains valuable information leading to identification of horizontal curves. The curve-related information includes:

Although the accuracy of the reported on-curve accidents is yet to be determined, this important piece of information has led to development of two strategies to identify horizontal curves in the base records.  Other developed strategies are based on the segment bearings and string lengths.

These strategies have been assessed through visual inspections using cartography maps and aerial photos.  The quantitative and qualitative assessments of the strategies, presented in Table 1, will assist us in selecting one or a combination of techniques to estimate locations and lengths of the horizontal curves on the Iowa roadway network.  Incorporating other curve-related information could also enhance the selected technique(s).

Table 1. Examined Strategies to Identify Horizontal Curves

 
Assessment Measures
Strategies
Definition
Quantitative Assessment (%)
Type I
Error (%)
Type II
Error (%)
Cost
Qualitative Assessment
Procedure
Illustration
Crash (string)
 Def
66
23
11
 $
 QA
 Proc
 Pic
Crash (segment)
 Def
68
30
2
 $
 QA
 Proc
 Pic
Bearing-1
 Def
 Quantitative Assessment
 $
 QA
 Proc
 Pic
Manual (string)
 Def
85
13
2
 $
QA
 Proc
Pic
Manual (segment)
72
28
0
 $
Vertex
 Def
51
0
49
 $
QA
 Proc
 Pic
Length (string)
 Def
80
19
1
 $
QA
 Proc
 Pic
Length (defined interval)
 Def
In-Progress…
 Pic

Quantitative Assessment - Accuracy level of the method – one minus type I error plus type II error

Type I Error - H1 is selected as being correct when H0 is correct

Type II Error - H0 is selected as being correct when H1 is correct

Through the visual inspection of the sites’ maps in the GIS environment, each record is marked as being a curve or a line. The discrepancies between the two procedures define the two error types.

Type I error is the percent of records that have been tagged as curves, but the visual inspections indicate differently.

Type II error (i.e., a more serious error) is the percent of records that have been tagged as not curves, but the visual inspections indicate differently.

Fixed Cost - Training and development cost

Marginal Cost - Changes in cost for an additional site study

Qualitative Assessment - What are the implications if we make mistakes