Formula to end feral cat killing by Ed Boks

Ed Boks and feral cats
The formula to end the killing of feral cats works

It is commonly understood that any serious initiative to end shelter killing has to focus on ending the “supply side” of the surplus animal equation.  The only way to do that is to preemptively spay/neuter those animals most likely to “supply” (give birth to) animals most likely to die in animal shelters.We

The three categories of animals dying in the largest numbers in most shelters throughout the United States are feral cats, pit bulls/pit bull mixes, and Chihuahuas.

There are effective solutions for ending the killing of these populations; and those solutions begin and end with targeted spay/neuter programs.  In a previous blog I addressed the need for targeted spay/neuter programs for pit bulls.  In this blog, I focus on how to end the killing of feral and stray cats.   

Many contend it is impossible to accurately determine feral cat populations.  The inability to do so, they say, makes it impossible to measure the effectiveness of programs funded to reduce feral cat populations.  All spay/neuter programs, including Trap/Neuter/Return (TNR), should be required to produce measurable results to warrant continued support and funding – and the only meaningful measure of success (or failure) depends on knowing the baseline population against which you can quantify the effectiveness of your efforts.

Eureka

Well, as it turns out a formula for determining feral cat populations does exist.  In a study titled, The Birth and Death Rate Estimates of Cats and Dogs in U.S. Households and Related Factors, published in 2005 in volume 7.4 of the Journal of Applied Animal Welfare Science a useful formula for calculating feral cat populations emerged.  The study was published by John C. New Jr. and William Kelch of the University of Tennessee, Jennifer Hutchison of the Australian Department of Agriculture, Fisheries and Forestry, Mo Salman and Mike King of Colorado State University, Janet Scarlett of Cornell University, and Philip Kass of the University of California at Davis.

The formula evolved from a 1996 survey of 7,399 U.S. households which found a crude birth rate of about 11.2 kittens and an attrition/death rate of 11.3 cats per 100 cats in households – meaning cat births in households nearly equals attrition.

Where does the surplus come from?

It was also discovered that the number of feral/stray cats moving into homes and shelters was approximately equal to the net growth in the household population plus the number of cats killed in shelters.

What this means is, the number of feral/stray cats in a community can be estimated by adding the net number of cats entering homes through adoption to the number of cats killed in shelters and multiplying that number by three (to account for the one queen, one tom, and at least one sibling not entering homes or shelters who must exist to produce the known feral/stray cat population).

Simply put, the feral cat population is equal to three times the number of cats killed (A) in local shelters plus the net number of cats adopted (B) into households minus cat mortality (A).  (A + B x 3 – A = feral cat population)

Let me give you an example how this formula can be applied to a No-Kill initiative. In the Los Angeles No-Kill Plan I submitted to Mayor Villaraigosa in 2010, I identified an area in South LA where spay/neuter efforts could be targeted.

The plan used SLA shelter data from 2008.  In that year, 3,917 cats were impounded from the targeted area and 2,212 of those impounded cats were euthanized or died. The remaining 1,705 cats were adopted.

According to the Los Angeles Planning and Demographic Research Unit, this targeted area had an estimated 1.25 million people living in 397,433 households.  According to an AVMA formula for determining the number of pet cats (.324 x number of households) this area had 128,768 cat-keeping households, with a total of 283,290 cats among them.

Applying the aforementioned (Eureka) formula, we can estimate a mortality rate in 2008 of 11% of the 283,290 cats – which equaled the number of cat births – which means there was a net self-replacement of about 31,163 cats in the targeted area in 2008.

Applying AVMA’s formula for the U.S. norm for pet cat populations from 1988 to 2008, we estimate the Los Angeles pet cat population increased at about 1% per year – meaning the net cat acquisitions in the targeted area exceeded attrition by about 2,850 cats per year, beyond births.

Of the 2,850 cats acquired, 1,705 were adopted from SLA Animal Services.  Another 1,114 were adopted from other sources.  Based on national averages, no more than 290 came from breeders, leaving 824 to be acquired from other sources like pet stores (which was legal in 2008).

SLA cat adoptions included impounded feral-born kittens and tame stray cats and kittens.  The annual adjustment to the feral/stray population included 1705 cats adopted by SLA + 824 placed by other sources + 2,103 killed = for a total of 4,632 cats.  Assuming each cat had a mother, a father, and at least one surviving sibling, a crude estimate for the feral/stray cat population in the targeted area in 2008 was 13,896.  (A + B x 3 – A = feral cat population)

Leonardo Fibonacci, considered the greatest European mathematician of the middle ages (born in Pisa, Italy about 1175 AD), developed a formula for calculating agriculture productivity.  His formula was refined by Pasteur to predict 70% of a susceptible population has to be vaccinated to prevent an epidemic. Fibonacci’s 70% Rule is recognized by World Health Organization and Center for Disease Control.

If we think of spay/neuter as inoculating feral cats to prevent pregnancy, then according to the Fibonacci Rule, 70% of all feral cats must be sterilized before the successful breeding encounters of the remaining 30% are reduced to a rate sufficient to simply replace normal attrition. This means that starting in 2008, we needed a plan to sterilize 9,927 feral/stray cats annually just to stabilize the feral/stray cat population in this one targeted area.

Meaningful and sustained reductions could only have occurred if this rate was exceeded.

It is now 2018 – and a reworking of these numbers today will undoubtedly show we failed the animals in this neighborhood.  It is my hope for LA, and the nation, that we will strategically apply this knowledge to our feral cat spay/neuter strategies and programs.  Only then will we make a meaningful and measurable impact on our feral cat populations and end the killing of these animals.