For those that would actually care to stay on topic, and discuss the elusive 1888 residence of 'Jack the Ripper':
You and I have had some very heated exchanges regarding the finer points of our respective arguments, Ben, but I don't believe that our perceptions of the 'bigger picture' have ever differed to any significant extent.
Well, I can certainly accept a possibility - albeit remote - that he did so.
And, a possibility is all that I was suggesting.
Neither do I, Ben.
But, I would insist that we allow for the possibility - again, albeit remote - that it does.
There very easily could have been dozens-upon-dozens of persons whose routines were similar to that of Philip Hutchinson, in 1888.
But, of course, the balance of probabilities would weigh very heavily against one of those persons having been 'Jack the Ripper'.
Accumulation of Probability Distribution (Elliptical): Murder-Site Mean-Center, to Extent of Seventy Percent Accumulation (Click Image, to Enlarge in flickr)
Underlying Aerial Imagery: Copyright Google Earth, 2010
Overlying Plots, Labels and Color-Shadings: Copyright Colin C. Roberts, 2011
70.00% Accumulation of Probability Distribution
The original (unrevised) manifestation of my Geographic Profile Model would suggest a perceptual probability of 70.00% that 'Jack the Ripper' resided somewhere within the above color-shaded elliptical region, during the latter months of 1888.
In other words, it would suggest that we should perceive a chance of at least 2-in-3 that 'Jack the Ripper' resided somewhere - during the latter months of 1888 - within the above color-shaded elliptical region, having an area of 2.54 square-miles.
While I do intend to make certain revisions to my model, I am perfectly willing to go along with its current suggestion that we perceive a chance of at least 2-in-3 that 'Jack the Ripper' was to be found, during the latter months of 1888, residing somewhere within the color-shaded elliptical region, depicted in the above imagery.
Anyone residing within that region, in 1888, would almost certainly have had a degree of familiarity with the broader surroundings of the applicable murder-site distribution: i.e. Shoreditch, Bethnal Green, Mile End, Limehouse, Ratcliff, Shadwell, Wapping, Billingsgate, Ludgate, Newgate, St. Luke, etc.
A fair point!
But, I would think that had he committed a murder in Limehouse, ... his regress in the direction of Whitechapel would have outpaced any communications regarding the discovery of the body that might have travelled in the same direction.
That being the case, - presumably - he really would not have been particularly vulnerable, whilst walking in a westward direction, along Commercial Road.
But, I suppose that's easy for me to say!
I wasn't the one walking in his shoes!
Speaking of Limehouse, ...
Accumulation of Probability Distribution (Elliptical): Murder-Site Mean-Center, to Extent of Ninety Percent Accumulation (Click Image, to Enlarge in flickr)
Underlying Aerial Imagery: Copyright Google Earth, 2010
Overlying Plots, Labels and Color-Shadings: Copyright Colin C. Roberts, 2011
90.00% Accumulation of Probability Distribution
The original (unrevised) manifestation of my Geographic Profile Model would suggest a perceptual probability of 90.00% that 'Jack the Ripper' resided somewhere within the above color-shaded elliptical region, during the latter months of 1888.
In other words, it would suggest that we should perceive a chance of as much as 9-in-10 that 'Jack the Ripper' resided somewhere - during the latter months of 1888 - within the above color-shaded elliptical region, having an area of 7.72 square-miles.
... approximately one third of the Parish of St. Anne Limehouse, in 1888, lay within the concavity of Regent's Canal, just to the northwest of Limehouse Basin, which can be seen on the periphery of the above depicted color-shaded elliptical region.
The remaining two thirds of the parish, which constituted the area generally referred to as 'Limehouse', was situated outside the concavity of Regent's Canal, just to the northeast and east of Limehouse Basin.
As this area was also situated outside the above depicted color-shaded elliptical region, I am willing to perceive a probability of less than 10.00% that 'Jack the Ripper' resided as far afield as 'Limehouse' (in conjunction with the applicable proportions of standard elliptical deviation), during the latter months of 1888.
Accordingly, I would be willing to wager no more than $10.00, in hopes of winning a payout of $100.00, on the contention that the 'Whitechapel Murder' resided that far afield, whilst carrying out his reign of terror.
Likewise, I would be willing to wager at least $90.00, in hopes of winning a payout of $100.00, on the contention that the 1888 residence of 'Jack the Ripper' was not that far afield.
Please note, however, that my willingness to risk $90.00, in hopes of winning an actual profit of just $10.00, should not be misconstrued: i.e. I am not thoroughly convinced that 'Jack the Ripper' did, in fact, reside within the above depicted color-shaded elliptical region, during the latter months of 1888.
As I have already indicated, I would be willing to risk as much as $10.00, in hopes of winning an actual profit of $90.00, on the contention that he did not. So, clearly, I see that as being a distinct possibility (i.e. that he did not reside within the above depicted color-shaded elliptical region, during the latter months of 1888).
Actually, Ben, there is evidence to suggest as much.
Admittedly, the indications are rather subtle and quite fragmented; but, on the basis of everything that I have been able to gather thus far, I am inclined to believe that the rookeries of Dorset Street and Flower & Dean Street constituted one such "Mecca", whilst the area just north of the Strand, which included the Parish Church of St. Giles in the Fields, Seven Dials, and Drury Lane, constituted another.
Consider, for example, the fact that the overwhelming majority of the victims of the so-called 'Whitechapel Murders' seem to have emanated from just about everywhere, other than Spitalfields.
The estranged and destitute of Victorian London were drawn in great proportion - so we would think - to those parts of the metropolis, in which the casual four-penny 'dosser' was afforded the best prospects for being able to obtain lodgings. I have seen many an indication that the Parish of Christ Church Spitalfields - and the rookeries of Dorset Street and Flower & Dean Street, in particular - boasted the single greatest concentration of registered common lodging houses, in the whole of London's metropolis, in 1888. But, I would have to refer to John Bennett, for any applicable statistics that he may happen to have, at his disposal.
Most of us have seen this data, which was first brought to our attention, - so I believe - by AP Wolf.
I know that you and Gareth have referred to it several times, in the past.
Of course, the data was collected in 1868, as opposed to 1888; and the stated figures refer simply to 'Prostitutes': i.e. a broad category, of which the Middle-Aged, Estranged, Alcoholic, Destitute Dollymop constituted a mere sub-set. But, I believe that the tabulation is, nonetheless, ... quite relevant.
Consider, for example, the following comparison:
Number of Prostitutes (in Low Neighbourhoods) (1868)
H Division: 623
K Division: 799
Area Contained within Respective Jurisdiction (1868)
H Division: 1.08 Square Miles
K Division: 50.40 Square Miles
It should be noted that the 1868 jurisdiction of K Division ('Stepney') extended from the thoroughfare New Road / Cannon Street Road, in the Parish of St. Mary Whitechapel / Hamlet of Mile End Old Town / Parish of St. George in the East, ... all the way to the Parish of St. Peter & St. Paul Dagenham, in the County of Essex.
Density of Prostitutes (in Low Neighbourhoods) (1868)
H Division: 576.85 per Square-Mile
K Division: 15.85 per Square-Mile
The comparison is, by no means, flawless. But, it would suggest that there may have been a truly remarkable concentration of prostitutes in the Parish of Christ Church Spitalfields, in both 1868, ... and 1888.
I believe that the only 'Met' Division that might have competed with 'Whitechapel', on the basis of 'Density of Prostitutes', in 1868, was F Division ('Covent Garden'), which included the area that I mentioned previously, - i.e. the area just north of the Strand, which included the Parish Church of St. Giles in the Fields, Seven Dials, and Drury Lane - as having possibly been another "Mecca", of the sort that I believe Spitalfields to have been.
As I stated earlier, Ben, the indications are rather subtle and quite fragmented; but, on the basis of everything that I have been able to gather thus far, I am inclined to believe that the 1888 rookeries of Dorset Street and Flower & Dean Street did, in fact, constitute this sort of "Mecca": i.e. an area, into which the typical middle-aged, estranged, alcoholic, destitute dollymop tended to flock, from all other quarters of the metropolis.
Now, having said that; do I have any reason to assume that 'Jack the Ripper' may have had a particular affinity for the type of vagrant wretch that was probably just as prone to beg, as she was to solicit?
No!
Indeed, I do not!
I am merely suggesting a possibility that he did.
My inclination to believe that you would not be able to provide a source, for your quotation of David Canter, was ill founded.
Obviously, I was wrong!
My reluctance to believe that David Canter would have described the 'commuter' serial killer as being "very rare", was perhaps the result my own personal perception of the distinction between a 'commuter' and a 'marauder'.
Accumulation of Probability Distribution (Elliptical): Murder-Site Mean-Center, to Extent of Fifty Percent Accumulation [Plus Contour Depiction of Extent of Two Standard Deviations from Murder-Site Mean-Center (Yellow)] (Click Image, to Enlarge in flickr)
Underlying Aerial Imagery: Copyright Google Earth, 2010
Overlying Plots, Labels and Color-Shadings: Copyright Colin C. Roberts, 2011
I believe that a 'marauder' serial offender should be defined as one that is found to be residing within two elliptical standard deviations of the geographic mean-center of his observed crime-scenes.
Accordingly, I believe that a 'commuter' serial offender should be defined as one that is found to be residing beyond two elliptical standard deviations of the geographic mean-center of his observed crime-scenes.
This distinction is depicted in the above imagery, by the yellow elliptical contour.
Red/Orange/Yellow/Yellow-Green/Lime-Green Isopleths (i.e. Total Area within the Five Inner-Most Contours (5 White)): Accumulation of Probability Distribution (Elliptical), from Murder-Site Mean-Center, to Extent of 50.00% Accumulation
- Standard Deviations from Murder-Site Mean-Center (Elliptical): 1.67
- Semi-Major Axis: 1,181.71 Yards
- Semi-Minor Axis: 838.16 Yards
- Area: 1.00 Square-Miles
- Accumulation of Probability Distribution: 50 Percentage Points
- Distribution Density: 49.77 Percentage Points per Square-Mile
Yellow Contour (i.e. Total Area within the Six Contours (5 White; 1 Yellow)): Accumulation of Probability Distribution (Elliptical), from Murder-Site Mean-Center, to Extent of 57.60% Accumulation
- Standard Deviations from Murder-Site Mean-Center (Elliptical): 2.00
- Semi-Major Axis: 1,415.06 Yards
- Semi-Minor Axis: 1,003.67 Yards
- Area: 1.44 Square-Miles
- Accumulation of Probability Distribution: 57.60 Percentage Points
- Distribution Density: 39.99 Percentage Points per Square-Mile
I believe that we must establish a clearly defined distinction between the two types of offender: i.e. the 'commuter', and the 'marauder'.
My geographic spatial analysis would suggest that had this particular series of murders continued ad infinitum, 89.80% would have been committed within two elliptical standard deviations of the murder-site mean-center, i.e. within the region that is defined by the yellow elliptical contour; whilst the original (currently unrevised) manifestation of my Geographic Profile Model would suggest that we should perceive a probability of 57.60% that 'Jack the Ripper' resided within the same, during the latter months of 1888.
Depending upon the number of murder-sites that I was able to incorporate, in my unrevised model, my calculations would suggest that we perceive a probability of between 55.18%, and 61.58%, that an offender would be found to be residing within two elliptical standard deviations of the geographic mean-center of his observed crime-scenes.
If two elliptical standard deviations is used as the distinction between the 'commuter' and 'marauder' offender, then these same calculations would suggest that we perceive a probability of between 38.42%, and 44.82%, that a serial offender - any serial offender - would turn out to be a 'commuter'.
Even if I were to 'ease up' a bit, on my seemingly very conservative 'marauder' parameters, I would draw the line as follows:
In the general case scenario, I would perceive odds of as much as 2-to-1 in favor of a serial offender - any serial offender - turning out to be a 'marauder'.
In other words, in the general case scenario, I would perceive a 'marauder' as being perhaps twice as likely as a 'commuter'.
~~~
A case in point:
Please note the yellow dot on the periphery of the yellow elliptical contour, in the upper right-hand portion of the above imagery.
It marks the location of the late 1888 residence of Charles Lechmere, aka 'Charles Cross': 22 Doveton Street, Hamlet of Mile End Old Town.
If Charles Lechmere were 'Jack the Ripper', and he were to have used his residence as his base of operations, then he would have travelled in more-or-less the same general direction, in order to access any portion of his observed 'killing field'.
In this presumed (hypothetical) instance, Charles Lechmere would have been, in my best estimation, a 'commuter' serial killer.
In any case, it should be noted that David Canter's best estimation is based, at least in part, on empirical data; whereas mine is simply based on my own theory, regarding the likely geographic dispersion of routine human activity.
I am afraid that it may be a while, Ben, before I am actually able to present my intended revisions. But, I don't think that either of us is going anywhere, anytime soon.
Originally posted by Ben
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Originally posted by Ben
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And, a possibility is all that I was suggesting.
Originally posted by Ben
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But, I would insist that we allow for the possibility - again, albeit remote - that it does.
Originally posted by Colin Roberts
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But, of course, the balance of probabilities would weigh very heavily against one of those persons having been 'Jack the Ripper'.
Accumulation of Probability Distribution (Elliptical): Murder-Site Mean-Center, to Extent of Seventy Percent Accumulation (Click Image, to Enlarge in flickr)
Underlying Aerial Imagery: Copyright Google Earth, 2010
Overlying Plots, Labels and Color-Shadings: Copyright Colin C. Roberts, 2011
70.00% Accumulation of Probability Distribution
The original (unrevised) manifestation of my Geographic Profile Model would suggest a perceptual probability of 70.00% that 'Jack the Ripper' resided somewhere within the above color-shaded elliptical region, during the latter months of 1888.
In other words, it would suggest that we should perceive a chance of at least 2-in-3 that 'Jack the Ripper' resided somewhere - during the latter months of 1888 - within the above color-shaded elliptical region, having an area of 2.54 square-miles.
While I do intend to make certain revisions to my model, I am perfectly willing to go along with its current suggestion that we perceive a chance of at least 2-in-3 that 'Jack the Ripper' was to be found, during the latter months of 1888, residing somewhere within the color-shaded elliptical region, depicted in the above imagery.
Anyone residing within that region, in 1888, would almost certainly have had a degree of familiarity with the broader surroundings of the applicable murder-site distribution: i.e. Shoreditch, Bethnal Green, Mile End, Limehouse, Ratcliff, Shadwell, Wapping, Billingsgate, Ludgate, Newgate, St. Luke, etc.
Originally posted by Ben
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But, I would think that had he committed a murder in Limehouse, ... his regress in the direction of Whitechapel would have outpaced any communications regarding the discovery of the body that might have travelled in the same direction.
That being the case, - presumably - he really would not have been particularly vulnerable, whilst walking in a westward direction, along Commercial Road.
But, I suppose that's easy for me to say!
I wasn't the one walking in his shoes!
Speaking of Limehouse, ...
Accumulation of Probability Distribution (Elliptical): Murder-Site Mean-Center, to Extent of Ninety Percent Accumulation (Click Image, to Enlarge in flickr)
Underlying Aerial Imagery: Copyright Google Earth, 2010
Overlying Plots, Labels and Color-Shadings: Copyright Colin C. Roberts, 2011
90.00% Accumulation of Probability Distribution
The original (unrevised) manifestation of my Geographic Profile Model would suggest a perceptual probability of 90.00% that 'Jack the Ripper' resided somewhere within the above color-shaded elliptical region, during the latter months of 1888.
In other words, it would suggest that we should perceive a chance of as much as 9-in-10 that 'Jack the Ripper' resided somewhere - during the latter months of 1888 - within the above color-shaded elliptical region, having an area of 7.72 square-miles.
... approximately one third of the Parish of St. Anne Limehouse, in 1888, lay within the concavity of Regent's Canal, just to the northwest of Limehouse Basin, which can be seen on the periphery of the above depicted color-shaded elliptical region.
The remaining two thirds of the parish, which constituted the area generally referred to as 'Limehouse', was situated outside the concavity of Regent's Canal, just to the northeast and east of Limehouse Basin.
As this area was also situated outside the above depicted color-shaded elliptical region, I am willing to perceive a probability of less than 10.00% that 'Jack the Ripper' resided as far afield as 'Limehouse' (in conjunction with the applicable proportions of standard elliptical deviation), during the latter months of 1888.
Accordingly, I would be willing to wager no more than $10.00, in hopes of winning a payout of $100.00, on the contention that the 'Whitechapel Murder' resided that far afield, whilst carrying out his reign of terror.
Likewise, I would be willing to wager at least $90.00, in hopes of winning a payout of $100.00, on the contention that the 1888 residence of 'Jack the Ripper' was not that far afield.
Please note, however, that my willingness to risk $90.00, in hopes of winning an actual profit of just $10.00, should not be misconstrued: i.e. I am not thoroughly convinced that 'Jack the Ripper' did, in fact, reside within the above depicted color-shaded elliptical region, during the latter months of 1888.
As I have already indicated, I would be willing to risk as much as $10.00, in hopes of winning an actual profit of $90.00, on the contention that he did not. So, clearly, I see that as being a distinct possibility (i.e. that he did not reside within the above depicted color-shaded elliptical region, during the latter months of 1888).
Originally posted by Ben
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Admittedly, the indications are rather subtle and quite fragmented; but, on the basis of everything that I have been able to gather thus far, I am inclined to believe that the rookeries of Dorset Street and Flower & Dean Street constituted one such "Mecca", whilst the area just north of the Strand, which included the Parish Church of St. Giles in the Fields, Seven Dials, and Drury Lane, constituted another.
Consider, for example, the fact that the overwhelming majority of the victims of the so-called 'Whitechapel Murders' seem to have emanated from just about everywhere, other than Spitalfields.
The estranged and destitute of Victorian London were drawn in great proportion - so we would think - to those parts of the metropolis, in which the casual four-penny 'dosser' was afforded the best prospects for being able to obtain lodgings. I have seen many an indication that the Parish of Christ Church Spitalfields - and the rookeries of Dorset Street and Flower & Dean Street, in particular - boasted the single greatest concentration of registered common lodging houses, in the whole of London's metropolis, in 1888. But, I would have to refer to John Bennett, for any applicable statistics that he may happen to have, at his disposal.
Most of us have seen this data, which was first brought to our attention, - so I believe - by AP Wolf.
I know that you and Gareth have referred to it several times, in the past.
Of course, the data was collected in 1868, as opposed to 1888; and the stated figures refer simply to 'Prostitutes': i.e. a broad category, of which the Middle-Aged, Estranged, Alcoholic, Destitute Dollymop constituted a mere sub-set. But, I believe that the tabulation is, nonetheless, ... quite relevant.
Consider, for example, the following comparison:
Number of Prostitutes (in Low Neighbourhoods) (1868)
H Division: 623
K Division: 799
Area Contained within Respective Jurisdiction (1868)
H Division: 1.08 Square Miles
K Division: 50.40 Square Miles
It should be noted that the 1868 jurisdiction of K Division ('Stepney') extended from the thoroughfare New Road / Cannon Street Road, in the Parish of St. Mary Whitechapel / Hamlet of Mile End Old Town / Parish of St. George in the East, ... all the way to the Parish of St. Peter & St. Paul Dagenham, in the County of Essex.
Density of Prostitutes (in Low Neighbourhoods) (1868)
H Division: 576.85 per Square-Mile
K Division: 15.85 per Square-Mile
The comparison is, by no means, flawless. But, it would suggest that there may have been a truly remarkable concentration of prostitutes in the Parish of Christ Church Spitalfields, in both 1868, ... and 1888.
I believe that the only 'Met' Division that might have competed with 'Whitechapel', on the basis of 'Density of Prostitutes', in 1868, was F Division ('Covent Garden'), which included the area that I mentioned previously, - i.e. the area just north of the Strand, which included the Parish Church of St. Giles in the Fields, Seven Dials, and Drury Lane - as having possibly been another "Mecca", of the sort that I believe Spitalfields to have been.
As I stated earlier, Ben, the indications are rather subtle and quite fragmented; but, on the basis of everything that I have been able to gather thus far, I am inclined to believe that the 1888 rookeries of Dorset Street and Flower & Dean Street did, in fact, constitute this sort of "Mecca": i.e. an area, into which the typical middle-aged, estranged, alcoholic, destitute dollymop tended to flock, from all other quarters of the metropolis.
Now, having said that; do I have any reason to assume that 'Jack the Ripper' may have had a particular affinity for the type of vagrant wretch that was probably just as prone to beg, as she was to solicit?
No!
Indeed, I do not!
I am merely suggesting a possibility that he did.
Originally posted by Ben
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Obviously, I was wrong!
My reluctance to believe that David Canter would have described the 'commuter' serial killer as being "very rare", was perhaps the result my own personal perception of the distinction between a 'commuter' and a 'marauder'.
Accumulation of Probability Distribution (Elliptical): Murder-Site Mean-Center, to Extent of Fifty Percent Accumulation [Plus Contour Depiction of Extent of Two Standard Deviations from Murder-Site Mean-Center (Yellow)] (Click Image, to Enlarge in flickr)
Underlying Aerial Imagery: Copyright Google Earth, 2010
Overlying Plots, Labels and Color-Shadings: Copyright Colin C. Roberts, 2011
I believe that a 'marauder' serial offender should be defined as one that is found to be residing within two elliptical standard deviations of the geographic mean-center of his observed crime-scenes.
Accordingly, I believe that a 'commuter' serial offender should be defined as one that is found to be residing beyond two elliptical standard deviations of the geographic mean-center of his observed crime-scenes.
This distinction is depicted in the above imagery, by the yellow elliptical contour.
Red/Orange/Yellow/Yellow-Green/Lime-Green Isopleths (i.e. Total Area within the Five Inner-Most Contours (5 White)): Accumulation of Probability Distribution (Elliptical), from Murder-Site Mean-Center, to Extent of 50.00% Accumulation
- Standard Deviations from Murder-Site Mean-Center (Elliptical): 1.67
- Semi-Major Axis: 1,181.71 Yards
- Semi-Minor Axis: 838.16 Yards
- Area: 1.00 Square-Miles
- Accumulation of Probability Distribution: 50 Percentage Points
- Distribution Density: 49.77 Percentage Points per Square-Mile
Yellow Contour (i.e. Total Area within the Six Contours (5 White; 1 Yellow)): Accumulation of Probability Distribution (Elliptical), from Murder-Site Mean-Center, to Extent of 57.60% Accumulation
- Standard Deviations from Murder-Site Mean-Center (Elliptical): 2.00
- Semi-Major Axis: 1,415.06 Yards
- Semi-Minor Axis: 1,003.67 Yards
- Area: 1.44 Square-Miles
- Accumulation of Probability Distribution: 57.60 Percentage Points
- Distribution Density: 39.99 Percentage Points per Square-Mile
I believe that we must establish a clearly defined distinction between the two types of offender: i.e. the 'commuter', and the 'marauder'.
My geographic spatial analysis would suggest that had this particular series of murders continued ad infinitum, 89.80% would have been committed within two elliptical standard deviations of the murder-site mean-center, i.e. within the region that is defined by the yellow elliptical contour; whilst the original (currently unrevised) manifestation of my Geographic Profile Model would suggest that we should perceive a probability of 57.60% that 'Jack the Ripper' resided within the same, during the latter months of 1888.
Depending upon the number of murder-sites that I was able to incorporate, in my unrevised model, my calculations would suggest that we perceive a probability of between 55.18%, and 61.58%, that an offender would be found to be residing within two elliptical standard deviations of the geographic mean-center of his observed crime-scenes.
If two elliptical standard deviations is used as the distinction between the 'commuter' and 'marauder' offender, then these same calculations would suggest that we perceive a probability of between 38.42%, and 44.82%, that a serial offender - any serial offender - would turn out to be a 'commuter'.
Even if I were to 'ease up' a bit, on my seemingly very conservative 'marauder' parameters, I would draw the line as follows:
In the general case scenario, I would perceive odds of as much as 2-to-1 in favor of a serial offender - any serial offender - turning out to be a 'marauder'.
In other words, in the general case scenario, I would perceive a 'marauder' as being perhaps twice as likely as a 'commuter'.
~~~
A case in point:
Please note the yellow dot on the periphery of the yellow elliptical contour, in the upper right-hand portion of the above imagery.
It marks the location of the late 1888 residence of Charles Lechmere, aka 'Charles Cross': 22 Doveton Street, Hamlet of Mile End Old Town.
If Charles Lechmere were 'Jack the Ripper', and he were to have used his residence as his base of operations, then he would have travelled in more-or-less the same general direction, in order to access any portion of his observed 'killing field'.
In this presumed (hypothetical) instance, Charles Lechmere would have been, in my best estimation, a 'commuter' serial killer.
In any case, it should be noted that David Canter's best estimation is based, at least in part, on empirical data; whereas mine is simply based on my own theory, regarding the likely geographic dispersion of routine human activity.
Originally posted by Ben
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