diff --git a/CHANGELOG.md b/CHANGELOG.md
index 9cb0601..acdb7bf 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,3 +1,7 @@
+## 1.15.1
+
+* Stop --drop-smallest-as-needed from always dropping all points
+
 ## 1.15.0
 
 * New strategies for making tiles smaller, with uniform behavior across
diff --git a/tests/ne_110m_populated_places/out/-yNAME_-z5_--drop-smallest-as-needed.json b/tests/ne_110m_populated_places/out/-yNAME_-z5_--drop-smallest-as-needed.json
new file mode 100644
index 0000000..c35e364
--- /dev/null
+++ b/tests/ne_110m_populated_places/out/-yNAME_-z5_--drop-smallest-as-needed.json
@@ -0,0 +1,1772 @@
+{ "type": "FeatureCollection", "properties": {
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+"format": "pbf",
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+{ "type": "Feature", "properties": { "NAME": "Cotonou" }, "geometry": { "type": "Point", "coordinates": [ 2.460938, 6.402648 ] } }
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+{ "type": "Feature", "properties": { "NAME": "Bandar Seri Begawan" }, "geometry": { "type": "Point", "coordinates": [ 114.873047, 4.915833 ] } }
+] }
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+{ "type": "Feature", "properties": { "NAME": "Praia" }, "geometry": { "type": "Point", "coordinates": [ -23.554688, 14.944785 ] } }
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+{ "type": "FeatureCollection", "properties": { "zoom": 5, "x": 27, "y": 16 }, "features": [
+{ "type": "FeatureCollection", "properties": { "layer": "in", "version": 2, "extent": 4096 }, "features": [
+{ "type": "Feature", "properties": { "NAME": "Dili" }, "geometry": { "type": "Point", "coordinates": [ 125.579224, -8.559294 ] } }
+] }
+] }
+,
+{ "type": "FeatureCollection", "properties": { "zoom": 5, "x": 27, "y": 15 }, "features": [
+{ "type": "FeatureCollection", "properties": { "layer": "in", "version": 2, "extent": 4096 }, "features": [
+{ "type": "Feature", "properties": { "NAME": "Melekeok" }, "geometry": { "type": "Point", "coordinates": [ 134.626465, 7.487750 ] } }
+] }
+] }
+,
+{ "type": "FeatureCollection", "properties": { "zoom": 5, "x": 27, "y": 12 }, "features": [
+{ "type": "FeatureCollection", "properties": { "layer": "in", "version": 2, "extent": 4096 }, "features": [
+{ "type": "Feature", "properties": { "NAME": "Pyongyang" }, "geometry": { "type": "Point", "coordinates": [ 125.752258, 39.023451 ] } }
+,
+{ "type": "Feature", "properties": { "NAME": "Seoul" }, "geometry": { "type": "Point", "coordinates": [ 126.996460, 37.568528 ] } }
+] }
+] }
+,
+{ "type": "FeatureCollection", "properties": { "zoom": 5, "x": 28, "y": 19 }, "features": [
+{ "type": "FeatureCollection", "properties": { "layer": "in", "version": 2, "extent": 4096 }, "features": [
+{ "type": "Feature", "properties": { "NAME": "Melbourne" }, "geometry": { "type": "Point", "coordinates": [ 144.972839, -37.816293 ] } }
+] }
+] }
+,
+{ "type": "FeatureCollection", "properties": { "zoom": 5, "x": 28, "y": 12 }, "features": [
+{ "type": "FeatureCollection", "properties": { "layer": "in", "version": 2, "extent": 4096 }, "features": [
+{ "type": "Feature", "properties": { "NAME": "Osaka" }, "geometry": { "type": "Point", "coordinates": [ 135.455933, 34.752896 ] } }
+,
+{ "type": "Feature", "properties": { "NAME": "Kyoto" }, "geometry": { "type": "Point", "coordinates": [ 135.747070, 35.032245 ] } }
+,
+{ "type": "Feature", "properties": { "NAME": "Tokyo" }, "geometry": { "type": "Point", "coordinates": [ 139.748840, 35.688533 ] } }
+] }
+] }
+,
+{ "type": "FeatureCollection", "properties": { "zoom": 5, "x": 29, "y": 19 }, "features": [
+{ "type": "FeatureCollection", "properties": { "layer": "in", "version": 2, "extent": 4096 }, "features": [
+{ "type": "Feature", "properties": { "NAME": "Sydney" }, "geometry": { "type": "Point", "coordinates": [ 151.182861, -33.916013 ] } }
+,
+{ "type": "Feature", "properties": { "NAME": "Canberra" }, "geometry": { "type": "Point", "coordinates": [ 149.128418, -35.281501 ] } }
+] }
+] }
+,
+{ "type": "FeatureCollection", "properties": { "zoom": 5, "x": 29, "y": 16 }, "features": [
+{ "type": "FeatureCollection", "properties": { "layer": "in", "version": 2, "extent": 4096 }, "features": [
+{ "type": "Feature", "properties": { "NAME": "Port Moresby" }, "geometry": { "type": "Point", "coordinates": [ 147.192078, -9.462608 ] } }
+] }
+] }
+,
+{ "type": "FeatureCollection", "properties": { "zoom": 5, "x": 30, "y": 17 }, "features": [
+{ "type": "FeatureCollection", "properties": { "layer": "in", "version": 2, "extent": 4096 }, "features": [
+{ "type": "Feature", "properties": { "NAME": "Port Vila" }, "geometry": { "type": "Point", "coordinates": [ 168.316040, -17.732991 ] } }
+] }
+] }
+,
+{ "type": "FeatureCollection", "properties": { "zoom": 5, "x": 30, "y": 16 }, "features": [
+{ "type": "FeatureCollection", "properties": { "layer": "in", "version": 2, "extent": 4096 }, "features": [
+{ "type": "Feature", "properties": { "NAME": "Honiara" }, "geometry": { "type": "Point", "coordinates": [ 159.947205, -9.435515 ] } }
+] }
+] }
+,
+{ "type": "FeatureCollection", "properties": { "zoom": 5, "x": 30, "y": 15 }, "features": [
+{ "type": "FeatureCollection", "properties": { "layer": "in", "version": 2, "extent": 4096 }, "features": [
+{ "type": "Feature", "properties": { "NAME": "Palikir" }, "geometry": { "type": "Point", "coordinates": [ 158.148193, 6.918247 ] } }
+] }
+] }
+,
+{ "type": "FeatureCollection", "properties": { "zoom": 5, "x": 31, "y": 20 }, "features": [
+{ "type": "FeatureCollection", "properties": { "layer": "in", "version": 2, "extent": 4096 }, "features": [
+{ "type": "Feature", "properties": { "NAME": "Wellington" }, "geometry": { "type": "Point", "coordinates": [ 174.781494, -41.298444 ] } }
+] }
+] }
+,
+{ "type": "FeatureCollection", "properties": { "zoom": 5, "x": 31, "y": 19 }, "features": [
+{ "type": "FeatureCollection", "properties": { "layer": "in", "version": 2, "extent": 4096 }, "features": [
+{ "type": "Feature", "properties": { "NAME": "Auckland" }, "geometry": { "type": "Point", "coordinates": [ 174.762268, -36.846659 ] } }
+] }
+] }
+,
+{ "type": "FeatureCollection", "properties": { "zoom": 5, "x": 31, "y": 17 }, "features": [
+{ "type": "FeatureCollection", "properties": { "layer": "in", "version": 2, "extent": 4096 }, "features": [
+{ "type": "Feature", "properties": { "NAME": "Suva" }, "geometry": { "type": "Point", "coordinates": [ 178.439941, -18.132801 ] } }
+] }
+] }
+,
+{ "type": "FeatureCollection", "properties": { "zoom": 5, "x": 31, "y": 16 }, "features": [
+{ "type": "FeatureCollection", "properties": { "layer": "in", "version": 2, "extent": 4096 }, "features": [
+{ "type": "Feature", "properties": { "NAME": "Funafuti" }, "geometry": { "type": "Point", "coordinates": [ 179.214478, -8.515836 ] } }
+] }
+] }
+,
+{ "type": "FeatureCollection", "properties": { "zoom": 5, "x": 31, "y": 15 }, "features": [
+{ "type": "FeatureCollection", "properties": { "layer": "in", "version": 2, "extent": 4096 }, "features": [
+{ "type": "Feature", "properties": { "NAME": "Majuro" }, "geometry": { "type": "Point", "coordinates": [ 171.378479, 7.103618 ] } }
+,
+{ "type": "Feature", "properties": { "NAME": "Tarawa" }, "geometry": { "type": "Point", "coordinates": [ 173.015442, 1.340210 ] } }
+] }
+] }
+] }
diff --git a/tile.cpp b/tile.cpp
index c056ce8..82f8625 100644
--- a/tile.cpp
+++ b/tile.cpp
@@ -1488,7 +1488,7 @@ long long write_tile(FILE *geoms, long long *geompos_in, char *metabase, char *s
 			}
 			if (additional[A_DROP_SMALLEST_AS_NEEDED]) {
 				extents.push_back(extent);
-				if (extent <= minextent) {
+				if (extent <= minextent && t != VT_POINT) {
 					continue;
 				}
 			}
@@ -1807,15 +1807,18 @@ long long write_tile(FILE *geoms, long long *geompos_in, char *metabase, char *s
 					continue;
 				} else if (additional[A_DROP_SMALLEST_AS_NEEDED]) {
 					minextent_fraction = minextent_fraction * 200000.0 / totalsize * 0.90;
-					minextent = choose_minextent(extents, minextent_fraction);
-					if (minextent > arg->minextent_out) {
-						arg->minextent_out = minextent;
+					long long m = choose_minextent(extents, minextent_fraction);
+					if (m != minextent) {
+						minextent = m;
+						if (minextent > arg->minextent_out) {
+							arg->minextent_out = minextent;
+						}
+						if (!quiet) {
+							fprintf(stderr, "Going to try keeping the biggest %0.2f%% of the features to make it fit\n", minextent_fraction * 100.0);
+						}
+						line_detail++;
+						continue;
 					}
-					if (!quiet) {
-						fprintf(stderr, "Going to try keeping the biggest %0.2f%% of the features to make it fit\n", minextent_fraction * 100.0);
-					}
-					line_detail++;
-					continue;
 				} else if (prevent[P_DYNAMIC_DROP] || additional[A_DROP_FRACTION_AS_NEEDED]) {
 					fraction = fraction * 200000 / totalsize * 0.95;
 					if (!quiet) {
@@ -1872,15 +1875,18 @@ long long write_tile(FILE *geoms, long long *geompos_in, char *metabase, char *s
 					line_detail++;
 				} else if (additional[A_DROP_SMALLEST_AS_NEEDED]) {
 					minextent_fraction = minextent_fraction * max_tile_size / compressed.size() * 0.90;
-					minextent = choose_minextent(extents, minextent_fraction);
-					if (minextent > arg->minextent_out) {
-						arg->minextent_out = minextent;
+					long long m = choose_minextent(extents, minextent_fraction);
+					if (m != minextent) {
+						minextent = m;
+						if (minextent > arg->minextent_out) {
+							arg->minextent_out = minextent;
+						}
+						if (!quiet) {
+							fprintf(stderr, "Going to try keeping the biggest %0.2f%% of the features to make it fit\n", minextent_fraction * 100.0);
+						}
+						line_detail++;
+						continue;
 					}
-					if (!quiet) {
-						fprintf(stderr, "Going to try keeping the biggest %0.2f%% of the features to make it fit\n", minextent_fraction * 100.0);
-					}
-					line_detail++;
-					continue;
 				} else if (prevent[P_DYNAMIC_DROP] || additional[A_DROP_FRACTION_AS_NEEDED]) {
 					// The 95% is a guess to avoid too many retries
 					// and probably actually varies based on how much duplicated metadata there is
diff --git a/version.hpp b/version.hpp
index fa1ef6f..192f178 100644
--- a/version.hpp
+++ b/version.hpp
@@ -1 +1 @@
-#define VERSION "tippecanoe v1.15.0\n"
+#define VERSION "tippecanoe v1.15.1\n"